







How to calculate percentage change 
20070803 

From Galland: I am working on graphs and I need to find the percentage of increase from one figure to another. How do I do that? For instance staff hours for 2006 were 28011 and for 2007 were 31230. How do I find the percentage of increase? Answered by Stephen La Rocque. 





How to convert fractions to percentages 
20070705 

From Anita: How do I turn 1 3/20 to a percent? Answered by Stephen La Rocque and Melanie Tyrer. 





Billions and more! and even more! 
20040301 

From Steph: What comes after undecillion? Answered by Penny Nom. 





What percentage did I take? 
20170614 

From david: you have $5.85 I took $1.06 from you,what percentage did I take? and the formula to solve it. Thank you Answered by Penny Nom. 





Canada's population as a percentage 
20170511 

From bethmarie: What percentage of the world population (7.5 billion) is Canada's population (36 million).
Thank you very much! Answered by Penny Nom. 





Faster than as a percentage 
20170318 

From Maximilian: Hi, i have a strange issue with the phrase "faster than" in percentage, ie. if i have a 10MB/s connection, and somebody has a 7MB/s connection, is it 30% faster or 50% faster.
which ( affirmation, phrase, sentence ) is the right one:
a:) My 10MB/S connection is 50% faster than the 7MB/s ?
or
b:) My 10MB/S connection is 30% faster than the 7MB/s ?
Thanks in Advance, and please if you can teach me why ! Answered by Penny Nom. 





Percentage change in productivity 
20170315 

From Sunni: I'm working on a graph and I need to find the percentage of increase from one figure to another. How do I do that? For instance our department started with a workload of 1773 in Jan and ended with 341 in Dec. In addition to that we received 2088 new items from Jan  Dec with an average of 5 workers. How do I find the percentage of increased productivity if any? Answered by Penny Nom. 





Two concentric circles 
20161221 

From shrestha: Two concentric circles have radii of 14 cm and 7 cm respectively. Find the area of space between them. Answered by Penny Nom. 





Joining a fitness center 
20161218 

From Salem: A fitness center offers a special price for groupclass students. The cost of registration is 30 dollars and then you have to pay 25 dollars per month. What is the rule of the equation in the light of c=m+? Answered by Penny Nom. 





A sales tax of 7% 
20161207 

From Kenneth: Hello:
If a sales tax of 7% is placed on every $1.00 of merchandise for sale, is it correct to indicate
the tax as 7%/ per $1.00 or 7%/$1.00? If the calculation is expressed as 7%/$1.00 X $5.00,
the tax is not $0.35 but 0.35. Is a tax rate of 7% incorrectly represented as 7%/$1.00
since the dollar unit cancels from the multiplication?
I thank you for your reply. Answered by Penny Nom. 





A mixed number as a percent 
20161018 

From Jayda: how go you change a mixed number into a percent
Ex. 3 3/4 Answered by Penny Nom. 





The circumcentre of a triangle 
20160728 

From Raj: If the vertices of triangle ABC are A(4,1) B(1,2) C(4,3) then find coordinates of circumcentre of triangle Answered by Penny Nom. 





One million is six percent of what number? 
20160426 

From Colleen: One million is six percent of what number?
Thanks! Answered by Penny Nom. 





A percentage problem 
20160302 

From jehanzaib: if x is a percentage: e.g. 40%
than what does "x/(1+x)" = 29%. what is the explanation. Answered by Penny Nom. 





Converting a fraction to a percentage 
20160222 

From Preitty: How can I turn fractions into percentages when the denominator is not a number that can multiply to 100? Answered by Penny Nom. 





A bonus of 8% of sales 
20160222 

From Barghavi: A man earns $325 per week plus an additional 8% on any sales over $500.
If he makes $6,250 in sales, how much money in total does he earn that week?
thank you! Answered by Penny Nom. 





38 is what percent of 400? 
20160207 

From chris: 38 is what percent of 400? Answered by Penny Nom. 





Percentage reduction 
20160130 

From Kuuku: The daily production targets in 2000 was 60,000 units this declined to 48,000 units in 2001 but was projected that further 300units reduction would be experienced in 2002. Calculate the percentage reduction by 2002. Answered by Penny Nom. 





Two increases of 20% 
20160127 

From Z: How do I find how many books are in a library given a problem like this... The number of books increase after buying 20% more in May. The number increased again by 20% after they were given 300 books. How many books did it start with?. Answered by Penny Nom. 





Two increases of 20% 
20160127 

From Z: How do I find how many books are in a library given a problem like this... The number of books increase after buying 20% more in May. The number increased again by 20% after they were given 300 books. How many books did it start with?. Answered by Penny Nom. 





Three discounts 
20160110 

From Tiffany: Khairul wants to buy a sofa set. He is offered 3 successsive discounts of 10%,20% and 25%, and he can arrange them in any order he wants. Which order will benefit him the most? Explain your answer. Answered by Penny Nom. 





Book sales 
20151230 

From Sandra: Your finance text book sold 56,500 copies in its first year. The publishing company expects the sales to grow at a rate of 20.0 percent for the next three years, and by 8.0 percent in the fourth year. Calculate the total number of copies that the publisher expects to sell in year 3 and 4. Answered by Penny Nom. 





Converting a fraction to a percent 
20151222 

From Sharon: How do you turn a fraction into a percentage? I'm beyond confused with this. Even though I think of myself as a good math student doing 8th grade math at a young age, this just makes me want to scream! I get the way you turn 1/4 into 25%, but when it comes to something like 7/9 = ? I just can't figure out the answer. Answered by Penny Nom. 





A word problem with percentages 
20151205 

From Caedryn: After giving 25% of her stickers away, May had 50% as many stickers as Rose. If they had 200 stickers altogether at first, how many stickers did Rose have? Answered by Penny Nom. 





20 million as a percentage of 7.3 billion 
20151118 

From Nick: Based on the estimate of the worlds current population (7.3 billion people), I'm trying to work out what percentage of that figure 20 million people would amount to?
(Apologies in advance that I've no idea if the 7.3 billion figure is an American Billion or UK billion)
Thanks for any help.
Nick. Answered by Penny Nom. 





Two price reductions and a coupon 
20150916 

From Suszanne: Mary purchased an item for 45% off the original price, plus an additional 20% off the sale price.She also had a $5 off coupon, which the salesclerk applied after these two discounts. Mary's final purchase price for the item was $50. She paid no sales tax, what was the original price of the item? Answered by Penny Nom. 





An increase in savings 
20150906 

From A student: A man spends 80% of his income. His income increases by 40% and his expenditure also increases by 25%. Find the percentage increase in his savings? Answered by Penny Nom. 





Two concentric circles 
20150528 

From Shannan: Two concentric circles have radii of 24cm and 26cm. What is the length of the chord that is tangent to the inner circle? Include a sketch Answered by Penny Nom. 





Locating the center of a circle that forms an arc 
20150423 

From Ken:
Find the Cartesian coordinates of the center of an arc with the given location of the beginning and end points and radius length. Not the midpoint of the circumference but the actual point that the arc
is drawn around.
I know their are two answers depending on the direction of the arc. Unless we assume that all arcs are drawn counter clock wise.
Thanks
Ken
Answered by Harley Weston. 





Two concentric circles 
20150421 

From Juniper: Two concentric circles have radii of 4 cm and 8 cm. A segment is drawn so that it is tangent to the smaller circle and a chord of the larger circle. How long is the segment? Answered by Penny Nom. 





The area of the ring between two concentric circles 
20150408 

From Conner: The area of the ring between two concentric circles is 25pi/2 square inches. The length of a chord of the larger circle tangent to the smaller circle is? Answered by Robert Dawson. 





Commission 
20150313 

From Rose: A shopkeeper receives 12.5% (12 1/2 %) commission on the sale of books from
the publisher. In a certain month,he receives a commission of rs.250 from the
publisher. How much was his sale for that particular month?? Answered by Penny Nom. 





The definition of percent ( % ) 
20150307 

From Kenneth: Hello:
I saw this definition online from the Free Dictionary (The Free Dictionary.com) regarding the definition of percent (%):
"Noun 1. a percent sign  a sign (`%') used to indicate that the number preceding it should be understood as a proportion multiplied by 100."
What is this "proportion" multiplied by 100?
When I think of a proportion, I think of a/b = c/d. How can a number preceding the percent sign be understood as a proportion X 100?
I thank you for your reply! Answered by Chris Fisher and Claude Tardif. 





Two concentric circles 
20150225 

From Manasi: The area between 2 concentric circles is 6 times the smaller circle. Radius of small circle is 7 cm. Find the difference in the circumference of the bigger circle ad the smaller circle? Answered by Penny Nom. 





The center and radius of a circle 
20150206 

From ariana: I need to find the center and the radius of this circle. I don't know how to put 9/2
than square it into a fraction.
x^2 + 2x + y^2 +9y=5 Answered by Penny Nom. 





Two concentric circles 
20150125 

From nazneen: select the correct answer from the given four options
given are two concentric circles. radii of outer circle & inner circle are r1 & r2 respectively.
the areas of inner circle & shaded ring are equal. the radii r1 & r2 are related by?
1. r1 = r2
2. r1 = r2*square root 2
3. r1 = r2*square root 3
4. r1 = 2r2 Answered by Penny Nom. 





Percentage change 
20150114 

From Jim: When using a scale e.g. 010, what is the formula for calculating percentage change. For example when someone answers a questionnaire where a question has a 010 scale, and they score a 4 first time, and then they answer the same questionnaire a different day, and they score an 8, how do I calculate the percentage change. Answered by Penny Nom. 





Rates, percentages and units 
20141230 

From Kenneth: Hello:
If percentages have no units, why are some percentages called rates, as in interest rate, or
perhaps a tax rate of 7% as an example? A rate has units of different quantities.
I thank you for your reply. Answered by Robert Dawson. 





30% profit 
20141205 

From Lyn: I would like to know a formula that I would use on a standard calculator to calculate a 30% profit margin on an item.
If I purchased an item at $7.70 how would I calculate 30% profit for me, not just 30% mark up? Answered by Penny Nom. 





The region between two concentric circles 
20141027 

From Ray: two circles, concentric; Given the length of chord of outer circle that is tangent to inner circle. what are the areas of both? how to calculate? Answered by Penny Nom. 





Percentages in a mixture 
20141002 

From viola: Hi there
can you help me convert the below so it makes 100% (individual %)
400 gr =
100 gr =
50 gr =
50 gr =
20 gr =
2 gr =
1 gr =
1 gr =
Be great to hear back from you
Thank you
V Answered by Penny Nom. 





A price increase and a consumption decrease 
20140816 

From sujan: If the price of petrol increases by 25% and Rajesh intends to spend only 15% more on petrol then by how much % should he reduce the quantity of petrol he buys? Answered by Penny Nom. 





What percentage of 317 million is 1.2 million? 
20140813 

From Danielle: I would like to know what percentage of 317 million is 1.2 million. Answered by Tyler Wood. 





Ratios ond percents 
20140813 

From aswathi: if the ratio of cost price and selling price of an article is be as 10:11,the percentage of profit is Answered by Tyler Wood. 





Buying shoes on sale 
20140630 

From Willa: So, I have this question from my summer packet: "Gwen buys 3 identical pairs of shoes at store a. She pays $110.25 after the discount what is the regular price of each pair? ( 40% off)" Answered by Penny Nom. 





Mary's height as a percentage of Michael's height 
20140511 

From Lauren: Mary is 1.4m tall and her brother Michael is 1.2m tall.
Express Mary's height as a percentage of her brother's. Answered by Penny Nom. 





Percentage change 
20140509 

From hi: the hw club had 46 members in sept. in april, the
club had 24 members. what was the percent of change in the hw club's membership from sept. to apan increase or decrease in membership?
ril? what is Answered by Penny Nom. 





Decimals,fractions and percentages 
20140411 

From Frances: Ask an expert to find out their real life usage of your topic... that is the question.
meaning what is your real life usage of using decimals,fractions and percentages.
This is all part of my math assignment to ask an expert real life usage... so please
reply back as soon as possible Answered by Penny Nom. 





A cyclic quadrilateral 
20140328 

From Carly: Suppose ABCD is a cyclic quadrilateral, i.e A, B, C, and D are the points on a circle,
given in order going around the circle. Show that if we join each of A, B, C, and D to the orthocentre
of the triangle formed by the other three, then the resulting line segments all intersect in a common midpoint.
Thank you. Answered by Chris Fisher. 





Percentage increase of the population of a town 
20140328 

From hunter: The population of a certain town in 1984 was 2900 people. The percent increase was 2.5% each year. What is the town's population in 2002? Answered by Penny Nom. 





40 meters increased by 20% 
20140314 

From Kyle: I need help finding out this question:
40 meters increased by 20%
Is the answer 800 or is it 8? Answered by Penny Nom. 





A chord length of 2 cm 
20140313 

From prema: I am having only chord length as 2cm. how to find arc length and degree Answered by Penny Nom. 





29% as a fraction 
20140307 

From kylie: 29% into a fraction or mixed number Answered by Penny Nom. 





A circle graph 
20140306 

From Caitlyn: I need to find the measure of the central angle that represents the amount of time spent on each activity.
My question includes a circle graph with the following: Sleep 31%, Other 15%, Entertainment 18%, Errands 7%,
Work 20%, and Food 9%. Answered by Penny Nom. 





Paycheck after deductions 
20140223 

From Louise: So I got a paycheck for 89.02 they took out in deductions 15.69.
I want to know the percentage they are taking out so that I can figure my take home pay each week before I get it. So I know what to expect for pay each week so I can budget my bills from now on a weekly basis. If I know the percentage than I can just figure out the percentage through how many hours in the week I worked and multiply my gross pay and know what my take home will be Answered by Penny Nom. 





Three investment partners sharing the profit 
20140222 

From Ayatullah: Hello;
We are three partners and bought a property at 2050000 and sold at 2300000.
Details of investment of the partners
X= 1500000
Y= 400000
Z = 150000
My questions are
1) How could i calculate percentage of investment of each partner?
2) How could i deduct 30% commission from each partner in profit?
3) How could i distribute the profit amongst the partners?
Thanks in advance Answered by Penny Nom. 





2.3% of $17.3 trillion 
20140221 

From C: What is the annual interest on $17.3 trillion at a rate of 2.3%. Thank you Answered by Penny Nom. 





The grade of a road as a percent 
20140214 

From Emily: What is the grade of the road shown below expressed as a percent rounded to one decimal place?
Rise is 40feet
Run is 380 feet Answered by Penny Nom. 





How many cubic centimeters are in a cubic meter? 
20140211 

From merylin: How many cubic centimeters are in a cubic meter? Use a sketch to explain your reasoning. Answered by Penny Nom. 





A bizarre percentage problem 
20140129 

From matthew: by what percent was the child's sodium level beneath the normal range?
the child's sodium level was 107 where the normal is 136145 Answered by Harley Weston. 





Profit as a percentage 
20140104 

From Dane: If i brought a card for £5 and sold it for £10 what is my profit percentage? 50% or 100% Answered by Penny Nom. 





A sale price for a TV 
20131128 

From tom: a TV can be purchased for $278 normally is $328. what is the percent of the present cost of this TV will you be saving? Answered by Penny Nom. 





2 concentric circles 
20131127 

From Dimaris: The radius of the outer circle of 2 concentric circles is x. An
equilateral triangle inscribed in the outer circle also circumscribes the
inner circle. What is the radius of the inner circle in terms of x? Answered by Penny Nom. 





Solve for x 
20131012 

From Megan: X\2400. Times 100=40%. What is x?! Answered by Penny Nom. 





A question on markup 
20130908 

From ezile: if the gross profit for the previous year was R125000 and for the new year its R195000 the mark up achieved was 95%....whats the new mark up Answered by Penny Nom. 





1760 as a percentage of 5000 
20130905 

From ken: how do I express 1760 as a percentage of 5000 Answered by Penny Nom. 





More than half of the people said... 
20130826 

From Lucy: Hi,
The question is:
Samoa 23%
Brazil 41%
Sri Lanka 52%
Senegal 39%
Armenia 37%
Croatia 20%
Why is the following statement true for the data above: More than half of the people said they were interested in Sri Lanka. The reason I don't understand the problem is that because the percentages add up to be greater than 100%, that means that the 500 people(as stated in the question) who participated in the survey got to pick more than once. Therefore, it is not 52% out of 100% anymore.
Thanks for taking the time to answer my question. Answered by Robert Dawson. 





What percent is 50 of 4.5 billion? 
20130808 

From Bobby: What percent is 50 from 4.5 billion? Answered by Penny Nom. 





Slicing through a cone to form an ellipse 
20130806 

From Pulkit: we get an ellipse on slicing through a cone. Is there a relation between central axis of the cone and this ellipse?
Does it pass through the any of the foci of the ellipse? Answered by Chris Fisher. 





A mixture problem 
20130729 

From Lucy: Hi,
For the following question:
Ten pounds of mixed nuts contain 50 percent peanuts. How many pounds of peanuts must be added so that the final mixture has 60 percent peanuts?(A) 2.5 (B) 5 (C) 6 (D) 10 (E) 12.5,
my math book gives my the following explanation: Try choice (C): 6 pounds of peanuts. The original 10pound mixture contained 50 percent peanuts, or 5 pounds. Now you have 11 pounds of peanuts in a 16pound mixture, more than 60 percent. This result automatically eliminates choices (D) and (E) as well.Why would this result automatically rule out D and E? How can you tell?
Thank you for taking the time to answer my question. Answered by Robert Dawson and Penny Nom. 





GST and PST 
20130722 

From Bev: Total sales revenues are 116391.38 this amount includes 5% GST and 80% of this amount includes a 7% provincial tax. The other 20% is PST exempt. GST is included in all. How do I figure the PST I owe? Answered by Penny Nom. 





Percent and percentage point 
20130719 

From Kenneth: Hello:
Does 0.01 represent both one percentage point and one percent in decimal form?
What is, for example, 2/100 of one percentage point, and what is 2/100 of one percent?
Are the answers the same.
I thank you for your assistance. Answered by Penny Nom. 





How much does Sara get to take home 
20130605 

From Jessica: Sara gets paid $15.00 an hour. She worked 80 hours during the pay period. If 28% of what she earned is deducted for taxes, how much does Sara get to take home? Answered by Penny Nom. 





Percent change in sales 
20130604 

From Sui: Hi,
I would like to ask your favor for reviewing the following percent change in sales calculation, did I do it right? I am surprise/wondering with the big amount of the percentage result. Your assistance and guidance would be highly appreciate.
Sales for month of August 2000: 5,198,750 IDR
Sales for month of October 2000: 62,291,700 IDR
Difference = 62,291,700 IDR  5,198,750 IDR = 57,092,950 IDR
Percentage change = 57,092,950 IDR : 5,198,750 IDR = 10.98 X 100 = 1,098%
Sales for month of February 2008: 1,664,800 IDR
Sales for month of August 2008: 161,715,307 IDR
Difference = 161,715,307 IDR  1,664,800 IDR = 160,050,507 IDR
Percentage change = 160,050,507 : 1,664,800 = 96.14 X 100 = 9,614%
Thanking you,
Sui Answered by Penny Nom. 





A pump is operating at 70% 
20130603 

From Abdel: Hi I was wondering if you could help me out on a question I recently got on an aptitude test.
A pump operates at 70% if it is pumping out 4500 gallons then how much will it pump out at 85%? Answered by Penny Nom. 





Inverting fractions and percentage 
20130518 

From Carlos: If I calculate the percentage change between two fractions, say,
1/100 and 2/100, I get 100% change. Now, if I flip denominator
and numerator, 100/1 and 100/2, and repeat the calculation, I
get a 50% change. Why are the percentages different?
Thank you very much Answered by Penny Nom. 





The percentage of fat in a container of yogurt 
20130517 

From Katy: There is a question that I' having trouble with. It says: "A container of yogurt
contains 228 g of water, 54 g of carbohydrates, 12 g of protein and
6 g of fat, what percentage of the yogurt is fat?" How do you convert 6 g
into percentage? Answered by Penny Nom. 





25% 
20130328 

From aaliyah: what is the raw data of 25% Answered by Penny Nom. 





A markup followed by a discount 
20130323 

From edward: A shopkeeper marks his goods to gain 35%. He allows 10% discount for cash payment. What is his profit percent when he sells the goods for cash? Answered by Penny Nom. 





Percent profit: State exam question 
20130312 

From tony: which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015
2)
1000 product
500 labor
50 permit
1550 total cost
1.3=.7
1550/.7=2214 Answered by Harley Weston. 





state exam question 
20130312 

From tony: which is the correct way to figure 30% profit?
1)
1000 product
500 labor
50 permit
1550 total cost
1550x1.3=2015
2)
1000 product
500 labor
50 permit
1550 total cost
1.3=.7
1550/.7=2214 Answered by Harley Weston. 





Increasing and decreasing sales 
20130306 

From Meghan: Pace Design's sales increased by 30% in the first year, increased by 60% in the second year, decreased by 60% in the third year and increased by 90% in the fourth year. What was the cumulative change in sales over the 4 years? Answered by Penny Nom. 





What is the subtotal & GST? 
20130304 

From REBECCA: Hi, I have a total of $300.
What is the subtotal & GST?
How do I work backwards? Answered by Penny Nom. 





Markup and discount to get a sale price 
20130302 

From Warren:
If you are an ardent shopper you will be aware of the discount (% decrease) marketing strategy to produce the sale price. I began to wonder just how much markup (% increase) was added initially to an item in order to deliver the discounted sale price.
It was simple to construct a formula to convert one to the other.
For example a 30% (mark down) decrease in price required a 42.86% (mark up) to increase the price initially to Tag price. However when I started apply the formulae to a number of circumstances I noticed some very interesting circumstances associated with this relationship
For example a 99.999999% decrease is numerically equal to a 9,999,999,925% increase (huge ratio difference) while conversely a 0.1% decrease is numerically equal to a 0.10010010% increase (Infinitesimally small ratio difference) so the patterns appears logarithmic not linear.
However what really caught my attention was this pattern
See http://www.ozsmart.com/doc/percentage.htm
My questions is why does the decline in the ratio of increases in required mark up (%) price peak at 50 and 51% precisely and then expand again as the percentage move higher
Any explanation would be appreciated Answered by Harley Weston. 





Percent as a fractional relationship 
20130114 

From Kenneth: What does the following indicate?
"A percent is another way of expressing the ratio or fractional relationship
of two numbers."
I know what a ratio is, but the term "fractional relationship" confuses me.
I thank you for your reply. Answered by Penny Nom. 





The circumcenter 
20121209 

From BandNerd: I need to find the circumcenter of the triangle with the coordinates A(0,0) B(12,6) and C(18,0). I do not understand how to solve it algebraically. Please help! Answered by Chris Fisher. 





How much should I price the earrings? 
20121113 

From Sharon: I want to sell some earrings and make a $12.00 profit on them I have to pay a
35% commission on them. How much should I price the earrings? Answered by Penny Nom. 





Percentiles 
20121017 

From Kenneth: Question from Kenneth:
Hello:
What is a common calculation used to determine percentiles?
For example, five employees have the following salaries:
Office worker 1  $25,000
Office worker 2  $27,000
Office worker 3  $30,000
Office worker 4  $32,000
Office worker 5  $35,000
What is the percentile rank of office worker 3 who earns $30,000?
Here's what I know: Add the number of salaries. Total: 5
Add the smallest number of salaries less than $30,000. There are two.
Now, divide 2 by 5 and multiply by 100. 2/5 * 100 = 40
I think the office worker making $30,000 is in the 40th percentile.
and I'm not sure what this ranking indicates.
I thank you for any helpful reply and or different calculation. Answered by Harley Weston. 





The degree measure of the central arc of a circle 
20121017 

From Crystal: On a circle with radius of 12 cm is an arc of length 20 cm. What is the degree measure of the central angle used to make this arc? Answered by Penny Nom. 





GST in New Zealand 
20121010 

From Colleen: I work out my claimable gst each month but need to know the total sales or purchases amounts for filling in my six monthly paper work. How do I do that. I tried doing the opposite of calculating the gst i.e. x3 and /23 but it is slightly different to my total. Answered by Penny Nom. 





What percent of her monthly take home pay are her monthly expenses? 
20120919 

From tina: a girls monthly take home pay is 1932.00. her monthly expenses total 1910.00. What percent of her monthly take home pay are her monthly expenses? Answered by Penny Nom. 





A profit of 35% 
20120907 

From Jack: If a product cost me $10.00 and I want a profit of 35% what is my sell price? How do I figure the sale price to make a 35% profit on the sale? Answered by Penny Nom. 





Changing a decimal or a number to a percent 
20120810 

From Kenneth: When a decimal or a number is changed to a percent, the decimal or number is multiplied by 100 and then a percent sign (%) is attached.
Why is it necessary to multiply by 100?
What is the reasoning or logic for using this calculation? Answered by Robert Dawson. 





A garden in the back yard 
20120804 

From Lucy: Your boss says that his wife has put an 18 × 51 foot garden in along the whole back end of their back yard. He says that this has reduced the backyard lawn area by 24%. What are the total dimensions of his back yard? What are the dimensions of the remaining lawn area? I found this question on purplemath(http://www.purplemath.com/modules/percntof3.htm). I still don't understand how to solve it. Can you walk me through the process please?
Thank you in advance for taking the time to answer my question. Answered by Penny Nom. 





Percentage increase 
20120801 

From Jay: When calculating percentage growth, why is (yx)/x the same as
(y/x)1 ??? (I seem to be stuck on the simple algebra here)...
e.g. 2011, toy was £5, 2012, toy is £10. What is the percentage
increase? So, (105)/5 = 1 (i.e. 100% increase), AND, (10/5)1 = 1
(i.e. also 100% increase).
Thanks in advance. Answered by Penny Nom. 





A truncated cone: the central angle 
20120717 

From Tom: I have researched several sites, including this one and am fairly confident I can do the calculations required to produce the two radii and the slant height for a truncated cone.
I a somewhat confused by the central angle. Some sites indicate that it should never exceed 180 degrees while others do not. Different examples on your site seem to use this in two different ways in constructing a truncated cone.
Sometimes the angle seems to indicate the section to be removed, while in other examples the angle seems to indicate the section to be saved. Since the two angles will always total 360 I am confused about how to use the info to
calculate the minimum rectangle required to contain the pattern. I'm guessing that in some cases I may need to use the chord or sagitta to determine the desired height and width of the material. Any help is greatly appreciated.
Thank you.
Tom Answered by Penny Nom. 





Finding the circumcentre 
20120524 

From Glen: Hi,
I'm having trouble finding the circumcentre of these 3 coordinates A(1,1) B(10.5,1) and C(6,6).
I understand what circumcentre is but I cannot work out where it is.
Thanks very Much,
Glen Answered by Chris Fisher. 





The circumcentre and orthocentre of a triangle 
20120425 

From Nazrul: The circumcentre and orthocentre of a triangle is given. A point on a side of the triangle
given. A vertex of the triangle on the circumcircle is also given.
How can I draw the triangle?
Please Help me.
Thank you for answering my previous questions. Answered by Chris Fisher. 





The circumcentre, centroid and orthocentre of a triangle 
20120424 

From Nazrul: The circumcentre, centroid and orthocentre of a triangle is
given. The distance between circumcentre and orthocentre is also
given.
How can I draw the circle?
Please Help me. Answered by Chris Fisher. 





Percentage change 
20120419 

From Christine: For my intermediate macroeconomics class, there is a question about percent change.
The numbers are:
Quantities of oranges in 2010: 104
Quantities of oranges in 2009: 100
How would I calculate to find the percentage change in quantities? Answered by Penny Nom. 





Profit as a percent 
20120414 

From Anson: The cost price of a CD is $50 and its marked price is $105. If the
selling price is $88, find the profit percent. Answered by Penny Nom. 





A Performance Appraisal 
20120306 

From Reuel: Hello:
I'm looking for an answer to this one:
If I have 428 staff for Performance Appraisal the year 2011 my
suggestions for rating their rankings would be:
5% can be no. 1 which would mean 21 employees
15% can be no. 2 which would mean 64 employees
60% can be no. 3 which would mean 257 employees
15% can be no. 4 which would mean 64 employees
5% can be no. 5 which would mean 21 employees
However, what I have received is this:
5% are no. 1 which would mean 20 employees
22 % are no. 2 which would mean 94 employees
60% are no. 3 which would mean 270 employees
15% are no. 4 which would mean 41 employees
5% are no. 5 which would mean 3 employees
Now my question is how do I find the percentage difference between both
the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated.
Best Regards,
Reuel Answered by Harley Weston. 





[Difference between percentages and percentages] 
20120306 

From Reuel: Hello:
I'm looking for an answer to this one:
If I have 428 staff for Performance Appraisal the year 2011 my
suggestions for rating their rankings would be:
5% can be no. 1 which would mean 21 employees
15% can be no. 2 which would mean 64 employees
60% can be no. 3 which would mean 257 employees
15% can be no. 4 which would mean 64 employees
5% can be no. 5 which would mean 21 employees
However, what I have received is this:
5% are no. 1 which would mean 20 employees
22 % are no. 2 which would mean 94 employees
60% are no. 3 which would mean 270 employees
15% are no. 4 which would mean 41 employees
5% are no. 5 which would mean 3 employees
Now my question is how do I find the percentage difference between both
the scenarios of should be versus reality? I don't think it is normal subtraction, is it? any help would be appreciated.
Best Regards,
Reuel Answered by Harley Weston. 





Percentage of water in a soil sample 
20120301 

From avi: what i need is the formula in getting the percentage from gram.
situation:
i need to know how many percent will i declare in getting the moisture of a soil sample
i weighed 2,000 grams of soil before i dried it out in the oven, after few hours the recovery
of the dried out soil is 1,700 grams. How many percent will be the water content?
kindly send me a formula in computing this.
thank u very much! Answered by Penny Nom. 





38/50 as a percent 
20120206 

From 2: 38/50 in a percent Answered by Penny Nom. 





Expressing 0.5% 
20120206 

From Kenneth: Hello:
It is correct to express 0.5% as 5 tenths of one percent.
Is it also correct to express 0.5% as 5 tenths of onehundred percentage points or 5 tenths of one percentage point?
I think it would be 5 tenths of one percentage point because 5 tenths of onehundred percentage points would be 50 percentage points, but I'm not sure.
I thank you for your reply. Answered by Penny Nom. 





A circular cylinder circumscribed about a right prism 
20120125 

From Noriz: A cylinder is circumscribed about a right prism of altitude 12.6cm.
Find the volume of the cylinder if the base of the prism is an
isosceles triangle of sides 3cm by 3cm by 2cm.
Hope you can help me with this. Answered by Penny Nom. 





Ten percentage of 24 hours 
20120123 

From robin: Hai.. Myself Robin.. May i know the ten percentage of 24 hours? Pls help me.. Thank you. Answered by Penny Nom. 





75% of 12.5 
20120105 

From Jennifer: 75% of 12.5
Please explain how you got your answer cause I don't understand how to do this Answered by Penny Nom. 





A 46% increase 
20120103 

From kabilan: increase a price of £8.24 by 46% and give the answer to the nearest penny Answered by Robert Dawson. 





A 6% commission 
20111015 

From Tamara: if you earned a gross wage of $810, which includes a salary of $90 and a 6% commission how much is the net sales? Answered by Penny Nom. 





Eight percent 
20110922 

From Michelle: Hello. I need help with a math problem please. I have not done this in so long.
This is a 40% margin
360X8%= Answered by Penny Nom. 





The dimension of the box in centimetres 
20110827 

From Eliza: Find the dimension of the box in centimetres. Then find its volume in cubic centimeters.
The box is 0.7m (l) 0.4 (h) 0.2 (w) Answered by Penny Nom. 





What is the angle of decent? 
20110520 

From Taten: So you have an airplane with an altitude of 5.8KM. It has 46KM till the run way. What is the angle of decent? Answered by Penny Nom. 





Why use percentiles? 
20110429 

From Kenneth: I need some clarification regarding the word "percentile."
Here is an example and what I know: If an investor had twenty stocks in his portfolio and five of those stocks paid an annual dividend of $200.00 or more, the five stocks are in the 25 percentile.
Why is this word necessary? If my example and explanation is correct, why not simply indicate that 25% of his stocks paid an annual dividend of $200.00 or more? Answered by Penny Nom. 





Converting millimeters to centimeters 
20110404 

From Pat: I need to convert 67 mm to centimeters how do I do this? Answered by Penny Nom. 





3% commission 
20110401 

From bertha: A real estate broker’s base annual salary is $18,000. She earns 3% commission on
total sales. How much must she sell in real estate value during the year to earn
$65,000? Set up an equation and solve. Show all work to receive full credit. Round
final answer to the nearest dollar. Answered by Penny Nom. 





A 15% increase 
20110322 

From Abeth: Bobby dela Cruz is the purchasing agent for school supplies of a certain university. Because of new research projects, Bobby ordered an additional 32,500 worth of supplies this month. This is a 15% increase from last month. What was the value of the school supplies that Bobby ordered last month? Answered by Robert Dawson. 





6685 is 67.5% of the total number 
20110222 

From Donna: I know 6685 is 67.5%. How do I calculate the total number. Answered by Penny Nom. 





Profit as a percentage 
20110117 

From Connie: I am trying to determine the profit margin on selected items.
ex: A bottle of juice costs me $.70, I sell it at $3.75. How can I determine what my profit percentage is? Answered by Penny Nom. 





Profit as a percent 
20101219 

From gaurav: In the following, which calculation is right to calculate the profit percent.
if profit is 20% 100*1.2 = 120
if profit is 20% 100/0.8 = 125? Answered by Penny Nom. 





The percentday method 
20101204 

From Kenneth: I read about this method in an old business mathematics book and was curious about how it works to produce the correct answer.
“Percentday method is based on 360 days’ time and 1% interest. Any interest rate multiplied by any number of days is equal to so many %days.”
Example: 82 days at 5% equals 410%days. Answered by Penny Nom. 





A 35% profit 
20101119 

From Ana: You have a stamp collection and make a 35% profit by selling it on EBay for $2700. Find the original cost of the collection by using the formula:New value × 100 / 100 + percent change = Original value Answered by Stephen La Rocque. 





I want to make a 50% profit 
20101029 

From Debbie: If my cost on an item is $32.00 and I want to make a 50% profit What would the retail be? Answered by Penny Nom. 





Area on a dart board 
20101011 

From Robert: A dart board consists of concentric circles and line segment. the radius of the bull's eye is 4 inches and each ring surrounding the bull's eye is 3 inches wide.
a) what is the area of the bull's eye
b) what percent is the bull's eye.
hint there are 4 rings and the bull's eye is divided into 4 (90) degree angles (meaning 1/2 up and down) (1/2 left to right. Answered by Stephen La Rocque. 





An investment of 500$ 
20100927 

From georgia: if you invest 500$ at a 7% annum and the balance at a 10% annum and your interest earned is 44$ annum how much was invested in the 7% and how much in the 10%. Answered by Penny Nom. 





Percentage of Revenue Generated 
20100922 

From Jeri: Hi! I am trying to fill out the government form for obtaining a business license and this is all new to me...it wants to know the estimated percentage of revenue that my product generates. An easy formula to figure this out would be greatly appreciated! Answered by Stephen La Rocque. 





The new diameter is 50 per cent larger than the original. 
20100904 

From mahwish: . A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased? Answered by Tyler Wood. 





Percentage improvement 
20100826 

From shahrukh: Hi...
We had a web page that was taking 12 secs to load. Now it loads in 3 secs.
What is the percentage of improvement or how much faster is it working now.
TO me it looks like it is working 3 times faster or there is a 300% improvement in the loading time.
However my client says its ((123)/12*)100 = 75% improved. Which seems illogical on the face of it.
Thanks for your help
Shahrukh Answered by Robert Dawson and Chris Fisher. 





$1579 is 20% of what number? 
20100722 

From Luis: Question: $1579 is 20% of what number? Answered by Robert Dawson. 





Selling price, cost and profit 
20100622 

From Alex: The profit on a certain television set is 16.5% of the cost price. If the profit is $330,
Find:
a) the cost price
b)the selling price of the television Answered by Penny Nom. 





A loan 
20100616 

From melody: LOAN: 1000
TERM: 2 years
INTEREST: 2% (per month)
AMOUNT: ???
what is he formula of solving this and what is the answer.. Answered by Robert Dawson. 





What is 13% of $5.99? 
20100615 

From Paige: What is 13% of $5.99 ? Answered by Penny Nom. 





Comparing percentages 
20100614 

From Anouska: In category A, Annie gave 5 out of 6 responses. I make this 83%
I the same category, Adam gave 4 out of 10 responses. I make this 40%
Does this mean that Annie gave 43% more responses in this category than Adam? Answered by Robert Dawson. 





A comparative report 
20100527 

From jo:
Question from jo:
I have a comparative report and I was confused about how to get the percentage of the current 1st quarter vs. last year 1st quarter, vs. last year of the same month. I hope you could help me, thank you.
Example: Food sales: 3Day Sale Event
TY: 1,352,293.58 May (Back to School)
LY: 1,205,614.31 April (Summer Sale)
LY: 1,065,693.40 May 2009 Answered by Penny Nom. 





Percentage of Group B's score 
20100522 

From Carolyn: If the CONTROL Scorer A scored 5 minutes of Stage 1 sleep, and the compare Scorer B scored 7 minutes of Stage 1 sleep out of the same sample, what is the % similar/same is Scorer B to the Control Scorer A? Answered by Tyler Wood. 





Percentage increase 
20100520 

From Rebecca: Question from Rebecca:
In 2008 my land was valued at $84,000. In 2009 my land was revalued at $235,000.00. What is the
percent increase between the two values? I want to be able to express "the
value was increased by x%." Answered by Harley Weston. 





One in twenty as a percentage 
20100427 

From jim: Please advise how I work out a gradient of say 120 one in twenty as a percentage % Answered by Penny Nom. 





Commission 
20100424 

From TAHIR: I want to predetermine the amount of commission on sale of my product which will be the amount that I shall have to pay .
For example, the price is $ 600and commission 5% .
1) I calculate commission on 600 @ 5% = $ 30
When added $ 600 the retail price = $ 630
2) But on $ 630, 5% commission = $ 31.50
So we make a loss of $ 1.50 .
3) Again if we add this $ 1.50 to $ 630 the price = 631.50
But the commission when calculated does not tally
and we make a loss of $ 0.075.
Please let me know how to determine the commission beforehand so that it matches our accounts. Answered by Penny Nom. 





Profit 
20100421 

From joyann: a Raleigh road runner 16" unisex bike which cost $892 was sold for $1052.56 calculate
A. the profit made on the bike
B. the percentage profit Answered by Penny Nom. 





Splitting the mortgage payment 
20100409 

From Jodi: What percentage of $2,500.00 (monthly mortgage payment)would I pay per month  if I make $2,200.00 per month and my partner makes $6000.00 per month?
Thank you. Answered by Tyler Wood. 





Total tax 
20100331 

From Keli: if the gst in Ontario is 5% and the pst is 8% the total tax would be 13%. How come the total tax is 1.13? Shouldn't it be 0.13? Answered by Robert Dawson and Tyler Wood. 





A 25% discount 
20100329 

From Susan: If something costs 1.00/per lb. and that price includes a 25% discount. How do you calculate what the price was before the discount? Answered by Penny Nom. 





I want to add 4.3% 
20100310 

From Brandy: I am trying to find out a total. I have 7,118.00 and I want to add 4.3% to that total. How do I do that. Answered by Penny Nom. 





How many people in total came to the museum that day? 
20100305 

From simon: 1354 people attended exhibition A and 1427 people attended exhibition B. 79% of people attended both exhibitions. How many people in total came to the museum that day Answered by Penny Nom. 





15% profit 
20100221 

From daviann: calculate the cost price,given
selling price=$304
percentage profit=15%
what is the answer? Answered by Penny Nom. 





The center of a rectangular room 
20100216 

From Diana: Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Answered by Penny Nom. 





23 correct out of 28 as a percentage 
20100205 

From Renay: What is the correct way to figure a percentage like 23 correct out of 28? Answered by Penny Nom. 





A decrease in travel time 
20100130 

From Mike: if a 100 mile trip averages 50 miles per hour, how much distance does one need to travel at 90 miles per hour to decrease travel time by 10% Answered by Stephen La Rocque. 





A 20% markup 
20100122 

From barbara: i ran across the same question using 10%, my question is this, I have $751,400, which has been marked up 20%. I want
to know the original amount prior to mark up.... can you give me the formula.? Answered by Penny Nom. 





What percentage am I reducing it by? 
20100113 

From Lynda: I need to calculate the percentage of a total number.
If my total is 2.9 million and I take out 187,000 what percentage am I reduing it by? Answered by Penny Nom. 





Percentage increase from a negative to a positive 
20100112 

From Greg: If a company had a net lost in 2005 of $11,234 and net income of $3231 in 2006, what is the percentage annual growth in income between the two years? Answered by Robert Dawson. 





Two percent 
20091220 

From Brian: Hello I am having a problem figuring out something. Someone told me that .98 is the same as 2% how is this possible, how did they figure this out
here is my example 929.79 x .98 = 911.19, is the same as 929.79 x 2% = 18.59, now minus the 18.59 and you will end up with 911.19, how did they convert 2%
to .98, please help thgis is driving me nuts as I am not very good at math. Thank you
Warmest Regards
Brian Answered by Penny Nom. 





Percentage reduction 
20091215 

From John: Please explain how I should calculate the percentage of £676 billion reduced to £498billion Answered by Harley Weston. 





Deducting 10% from £100 
20091117 

From Steve: What is the correct way of deducting 10% from £100?
Would it be £100 multiplied by 0.1 and then deduct to leave you £90; or
Would it be £100 divided by 1.1 to give you £90.91? Answered by Penny Nom. 





A markup and a discount 
20091115 

From joe: I have a product that cost $ 300.00 I want a 25% markup and give a 15% discount
but keep 25% markup.
300 + 25% = 375
300 + 40% = 420
420  15% = 357
what am i doing wrong???? Answered by Harley Weston. 





Find the original price 
20091106 

From Cyndy: Find the original price of a pair of shoes if the sale price is $98.00 after a 30% discount. Answered by Penny Nom. 





Commodity price increase 
20091104 

From bharat: if price of a commodity increases by x% the to keep the expenditure same
the decrease in consumption should be (x/(x+100))*100, why? Answered by Penny Nom. 





Concentric circles 
20091014 

From maddy: Find the exact area of the region bounded by two concentric circles with radii 10 inches and 6 inches. Answered by Penny Nom. 





Grams to percent 
20090920 

From brandy: how do you convert 1.5 grams to a percent Answered by Stephen La Rocque. 





A 30% markup 
20090902 

From Lisa: Ok i want to mark a products up 30%, I would take 5.00X3o%,but my boss does it another way I have yet to figure out he takes cost divided by 70% or something like that I am so lost can you help? PLEASE Answered by Victoria West and Penny Nom. 





Percentage price change 
20090827 

From alicia: what is the percentage price change between R66R10 if the answer between the two is R56 Answered by Penny Nom. 





Find the central angle 
20090818 

From Larissa: In a circle, the length of a chord AB is 4 cm and the length of the arc AB is 5 cm. Find the central angle theta, in radians, correct to four decimal places. Then give the answer to the nearest degree. I think I'm supposed to use Newton's method, but am not sure how to start with this problem. Answered by Harley Weston. 





Susan's RRSP 
20090805 

From Polly: Susan contributed $500 every 6 months for 14 years into a RRSP earning interest @ 7.5% compounded semiannually. Seven years after the last contribution Susan converted the RRSP into a RRIF which is to pay her equal 1/4 payments for 16 years. If the first payment is due 3 months after the conversion into the RRIF and the interest on the RRIF is 9% compounded 1/4, how much will Susan receive every 3 months? Answered by Stephen La Rocque. 





Percentage decrease 
20090804 

From Bill: How to calculate the Percentage Increase or Decrease of a $ value.
Example 
Site Spend for 01012008 thru 073108 was $ 3,465,660
Site Spend, 2009 YTD as of 073109, was $ 1,673,405
Site Spend down what % between these two amounts ? Answered by Penny Nom. 





Percentage of Acid 
20090717 

From Leeanne: here is my question:
a chemist has 200 liters of solution that is 5% acid. how many liters of water
(0% acid) must he add to make a solution that is 4% acid? Answered by Stephen La Rocque. 





Profit as a percentage 
20090715 

From Jay: If I buy an item for $3.00 and sell it for $6.00. What is my percentage of profit? Answered by Penny Nom. 





The retail price for an ice cream scoop 
20090705 

From Patricia: Hi  I am trying to figure out the fairest retail price for an ice cream scoop. We have an ice cream parlor
and the cost of the ice cream we buy by the bulk container has recently been increased so now we must charge
more for our scoops. We pay a wholesale price of $25.40 for 242 ounces of ice cream. The cost per ounce is
$0.105. What is the formula for figuring out how much to charge retail per scoop? This is probably so simple
but confusing to me. Please help. Thank you! Answered by Harley Weston. 





17.5% of 500 
20090705 

From b: what is 17.5% of 500 Answered by Harley Weston. 





Descending Percentages 
20090702 

From Chris: Hi
I'm having a problem working out the percentage target achievement, when i'm
calculating a descending indicator. For example, if you take something like
the number of contracts cancelled. You might give your retentions team the task
to make sure that no more than 2 customers cancel a contract wihin a particular
month. If exactly 2 customers cancel their contract, that should represent 100%
achievement of the target, but i'm really struggling to work out what that percentage
would be if 1 or 3 customers cancelled.
Chris Answered by Janice Cotcher. 





Fish Feed 
20090701 

From David: 57 grams of feed how many fish can I feed at 2% of 1lb body wieght or I suppose to feed 2% of body wieght of food in grams fish wieghts 1 lb.I hope I said that write
Thank you Aloha dave Answered by Janice Cotcher. 





Averaging percentages 
20090614 

From Alan: Can you add percentages and then divide them by the number of percentages to get the average percentage.
I.E day 1 100% day 2 100% day 3 95% average= 98.3%
is the above possible or is it not done, I have a dispute with a work colleague over this.
many thanks Answered by Harley Weston. 





How much more volume is needed to reach a certain % 
20090529 

From Chris: I am trying to figure out how much more volume is needed to reach a certain %. For example if I sell 15,182 of unit X out of 43,241 total units. Then I know that unit X is 35.1% of units sold. However, I need to get unit X to be 46.3% of total units sold. I need to figure how many more units of X I need to sell to reach this %. Of course if I sell more units of X then this increases the denominator. Can you please help? Thank you for your time. Answered by Penny Nom. 





Profit margin 
20090526 

From andreya: what is the profit margin of a business that spends $200 in order to make $1000 Answered by Penny Nom. 





A car loan 
20090506 

From Cindy: A person takes out a car loan in the amount of $11,170.00 @ 4.5% interest. The person makes 17 payments of $500.00, then for the 18th payment (this person 'finds' some $) and pays off the whole thing. How much was their last (18th) payment? How much overall did they pay in principle? and interest?
The person who made the initial loan then takes $11,156.25 and places it into a High Interest Savings Account @ 2.25% annually on Nov 18, 2003. How much is now in the High Interest Savings Account if no futher funds have been added to the account and no withdrawls have been made?
Thanks for your help with this. I have been trying on and off for 3 years to figure this out.
C Answered by Robert Dawson. 





Decimeters and centimeters 
20090430 

From Jeannette: I cannot convert because of a question that throws me off. For example, A mother African elephant avg's 250 dm in height. A newborn baby African elephant avg's 89cm in height. How many cm shorter is the baby African elephant than its mother? Which one do I convert first? in order to subtract the number from the baby? Answered by Penny Nom. 





12% of 4 trillion 
20090425 

From ROBERT: WHAT IS 12% OF FOUR TRILLION Answered by Penny Nom. 





Percent increase from a negative number to a positive number 
20090421 

From Brian: I have no problem calculating year over year net profits but am having trouble when it comes to a negative.
2007 Net Profit = 110,333.00
2008 Net Profit = 66,054.00
Brian Answered by Harley Weston. 





The center of an ellipse 
20090421 

From Nae: what is the ellipse center of 5x^2+3y^2=15 Answered by Stephen La Rocque. 





Change 5/6 into a percent 
20090415 

From Shelly: My question is when it says change 5/6 into a percent Answered by Penny Nom. 





$65.09 is 70% greater than the average price 
20090411 

From Kelly: Hello!
I know you might be thinking that I didn't look through your previous answers, but I really did.
Here's my dilemma I have a percent increase equation that is missing the 'old" value.
I know that $65.09 is 70% greater than the average price, but I do not know the average price. How do I go about finding that?
I tried to set up an equation, but its throwing me off because the unknown variable is in there twice, and it's been a long time since I've taken math
Thank you for your help...greatly! Answered by Penny Nom. 





Actual Food Cost is 3% or more above Projected Food Cost 
20090407 

From Kam: Your store guidelines states that when Actual Food Cost is 3% or more above Projected Food Cost, immediate corrective action be taken by the Unit Manager. In January, your Actual Food Cost was $11,000, and your Projected Food Cost was $10,850. To find out what percentage the difference is do I divide the difference ($150) by Actual Food Cost ($11,000) or Projected Food Cost ($10,8500)? What would be the answer? Thanks Answered by Harley Weston. 





The central angle of a chord 
20090406 

From Dale: How do I find the central angle if I only have the cord length and radius. Answered by Harley Weston. 





Payroll deductions 
20090329 

From Jim: I want to set up a spread sheet where i can enter my hourly pay or gross income,
and calculate my tax deductions. I have my old pay stubs but I am stuck when I
take the amount of the deduction and try to figure out the % used to calculate the amount
for example gross pay $1359, EI= $64, Fed Tax=$129, Prov tax = $35
these numbers I have provided are random but I think you can get the idea Answered by Penny Nom. 





Profit as a percent 
20090326 

From Danny: If I have something that cost me .38 and I want to sell it for $1.00 what is my profit % on this item Answered by Robert Dawson. 





Percentiles 
20090321 

From Shawn: For a normal distribution of u=654.00 and o=138.00.
What is the percentile rank for X=426? Answered by Harley Weston. 





How do I calculate to find what 100% is? 
20090321 

From Kathy: If $13.50 is 32% of a number, how do I calculate to find what 100% is? Answered by Stephen La Rocque. 





Find the retail price 
20090318 

From Allie: If you have food that costs $0.75 per portion and your food cost is 16.5% how would you find the retail price? Answered by Penny Nom. 





0.0007 as a percent 
20090318 

From Shelly: I need to know how to divide 0007 by 100 and soon! and I have no idea how I can get 100 to go into a number like that! here's the question this problem originated from:
change the decimal into a percent:
0.0007 _________
How do I change THAT number into a percent?
How do I change 12.455 and 92.348 and 29.005 into percents as well? I know how to change numbers like 0.6 and 0.70 into percents but not the numbers I told you I'm having problems with. Please someone explain this to me and also please focus mainly on the first number I asked about but don't forget the others please. Please reply ASAP I need to know this in about a week or less! Answered by Penny Nom. 





What percentage is £2,407.33 of £9,352.41? 
20090316 

From Joanne: Could you show me how to work out what percentage £2,407.33 is of
£9,352.41 in very basic terms.
Thank you very much
Joanne Answered by Penny Nom. 





Express 13 mills as a decimal part of $1.00. 
20090313 

From Kenneth: Hello:
I read the following in an old business mathematics textbook:
"Express 13 mills as a decimal part of $1.00."
I can determine the answer as follows: There are 1000 mills in or per
$1.00. 13 mills divided by 1000 mills/$1.00 equals $0.013, the answer.
My question is as follows: What does "...as a decimal part of $1.00"
indicate or represent from "Express 13 mills as a decimal part of
$1.00."?
Is (a decimal part of $1.00) any decimal less than $1.00 with the decimal having a dollar sign
before it.
I thank you for your reply. Answered by Harley Weston. 





66 2/3% 
20090310 

From Traci: Please convert 66 2/3% into a decimal and a fraction Answered by Penny Nom. 





What percent commission does Aaron earn? 
20090309 

From Jerry: Aaron works part time as a salesperson for an electronics store. He earns $4.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 20 hours and earned a gross income of $143.75. If his total sales for the week were $1,500, what percent commission does Aaron earn? Answered by Penny Nom. 





A property that decreases in value every year by 10 percent 
20090307 

From PEter: there is a competition problem where a cottage is worth 25000 years, but it decreases in value every year by 10 percent. Without a calculator, is there a way to find after how many years, the cottage will be worth 2500? (besides multiplying it out and besides logs) Answered by Stephen La Rocque. 





An annuity 
20090227 

From Jules: R 20 000 is deposited in the bank,at the end of each year R 5 000
is withdrawn from it, the interest is 13 percent compounded monthly.
Calculate how many years that person will be able to use his/her money ? Answered by Stephen La Rocque. 





More on the gst 
20090223 

From melissa: I need to know the amount of gst that was in the amount of 630.67? How do you figure this out? I don't need the amount of gst after, but the gst included? Answered by Penny Nom. 





Percentage difference in pipe volumes 
20090222 

From mike: what is the % difference between a 3 inch diameter pipe compared to a 4 inch diameter pipe? and how do i find the answer? Answered by Penny Nom. 





Averaging percentages 
20090221 

From Chris: Ok I'll give you a simple example of what I'm doing. Lets say that on one forum, a memebr has made 52 posts out of the 412 posts made altogether. Then on another forum, the same person has made 10 posts out of the 60 posts altogether. What percentage of the posts has this person made in these 2 fourms combined. Answered by Robert Dawson and Harley Weston. 





A dinner party 
20090218 

From will: You are serving 3 different entrees at a party. If 100 guests are having beef, 175 guests are having pasta, and 45 percent of the guests are having chicken how many guests are expected at this party? Answered by Penny Nom. 





Rent and a commission 
20090217 

From cliff: a landlord receives $95.00 rent 5% commission was paid to get to $95.00 what was the original number. The answer is obvious but what is the formula. Thanks. Cliff Answered by Penny Nom. 





Can you convert numbers with units to percents? 
20090212 

From Kenneth: To change a number to a percent, move the decimal two places to the right and add a percent sign.
For example, 0.35875 = 35.875%.
If the number has a dollar sign or some other kind of unit, for example, pounds, feet, etc. how is the number converted to a percentage.
For example, change $0.35875 and 0.75 lbs. to a percentage. How is this done. I have never seen $35.875% or 75 lbs.% before. Answered by Robert Dawson and Harley Weston. 





What percent is 314.70 of 693.20? 
20090211 

From steph: what percent is 314.70 of 693.20 Answered by Penny Nom. 





A goat in a square paddock 
20090210 

From lachlan: A farmer uses a rope to tether a goat to a pole at the corner of a square paddock. The length of one side of the square is 24m.
a) If the length of the rope is 12m,what % of the paddock can the goat reach? is the answer 19.62 %?
b) If the farmer wants the goat to be able to graze exactly half the area of the paddock, what length must the rope be? Answered by Penny Nom. 





Cubic centimeters and ounces 
20090206 

From Dawn: 1 syringe contains 5.5cc of medicine & cost $13.50
1 2 oz bottle of medicine cost $17.50
How many cc's in 2 oz, & which is the better deal? Answered by Stephen La Rocque. 





How much did the statue originally cost him? 
20090206 

From Debra: Jim is able to sell a handcarved statue for $670 which was a 35% profit over his cost. How much ded he statue originally cost him? Answered by Penny Nom. 





A company fish fry 
20090204 

From shaelisa: At a company fish fry, ½ in attendance are employees. Employees’ spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? Answered by Robert Dawson. 





Calculating markup 
20090203 

From Tonya: I'm trying to figure out the formula for the following, I have a product that I want to receive a certain profit, but with this product I also have to pay a percentage of commission to someone. I need to know how to calculate my new selling price taking into account the markup percentage, but I don't want my cut to be lowered. I have calculated the markup percentage to get my new selling price with the commission, but it lowers my cut once I pay the commission and I don't want it to do that. Thanks Answered by Penny Nom. 





What do I need to pass the course? 
20090202 

From Lynnette: If I received 100% on my assignment which is worth 20% of my total mark and 87% on my midterm which is worth 40% of my total mark what would I need to get on the final exam which is worth 40% of my mark. To pass the course I must have 80% or above. Thanks. Answered by Penny Nom. 





Calculate the GST paid from the total 
20090122 

From Claude: I need to know the GST I paid for irems bought. What is the simple formula to calculate the GST paid from the total. Some merchants do not clearly indicate the amount of GST on their sale receipt. Answered by Harley Weston. 





PST and GST 
20090120 

From janet: Hello
I need to figure what one would pay pst 8% gst 5% on a total of $1700.00
I have a small business some pay with cash I need to calculate the taxes in reverse Can you help with formula that the government might like
Thank you
Janet Answered by Harley Weston. 





Percentage increase 
20090119 

From Destiny: In 1990 there were 25 springs in the park. This year there are 35 springs
in the park. What is the percent increase? Answered by Penny. 





Two methods of payment 
20090113 

From adjoa: owen was offered $225.00per week plus 3%on sales, or 15%of sales with no salary. How much must he sell before the second method of payment gives him the highest pay? Express your answer to the nearest dollar. Answered by Penny Nom. 





A 10% salt solution 
20090112 

From Joanna: How many liters of water must evaporate from 40 liters of a 10% salt solution to make a 25% salt solution? Answered by Robert Dawson and Penny Nom. 





Numbers or Percentage or probability or what? 
20090107 

From Chew: Teacher A teaches 50 students and 45 of them obtained straight As.
Teacher B teaches 5 students and 5 of them obtained straight As.
Which teacher would you send you child to and why? Answered by Robert Dawson and Harley Weston. 





30% profit 
20090106 

From bob: this is a basic question that I just can't get thru my head.
I know all my cost for a product, if I want to sell at a given profit can I divide by a given
number, example for 30 % divide by .7 or do I multiply?
Is there a simple answer for this? Sure would make my work a lot easier.
Thank you for your time
Puzzled in Ohio Answered by Penny Nom. 





Annual percent growth 
20081213 

From Joe: If WallMart had sales of $58,200,000,000 in the year 2002 and $90,800,000,000 in the year 2006.
1. Find what percent that increase is of the 2002 sales? I came up with (9.08*10^10  5.82*10^10) / 5.82*10^10 * 100 = 56.01% increase. Is this correct?
2. What was the percent GROWTH in WalMart's sales from 20022006? I am having trouble figuring out how to do the Growth problem. I would appreciate any help. Answered by Harley Weston. 





The centroid and circumcircle of a triangle 
20081209 

From prateet: in an equilateral triangle prove that the centroid and centre of the circumcircle coincide
here i am not clear about the concept of centroid and circumcircle
i cant understand how AGis 2/3 AD.
please help in details about the topic mentioned. Answered by Harley Weston. 





Solution Concentration 
20081206 

From Manjola: I mixed 100 ml of 28% Ammonium nitrate, with 100 mL of 68% nitric acid. What is the concentration of the resulting solution?
Thank you Answered by Janice Cotcher. 





A markup of 30% 
20081206 

From Tammy: How can a markup of 30% be calculated by using 1.43 times the original cost? Where does the 1.43 come from? For example: the original cost is 830.00 the markup is 30 %. The selling cost is 1186.90. My boss uses 1.43 to figure the mark up for 30% and 1.23 for 25% and 1.1 for 10%. What I want to know is how do they come up with these figures? Answered by Stephen La Rocque. 





What is the pre GST price? 
20081205 

From Chris: I've been looking at a few answers to the question of before and after GST price calculation.
the suggestion have been :: multiply the pre GST price by 1.10 to get the
price and reverse to get a pre GST price.
But how do you calculate the pre GST price from an existing retail price?
For example if you take an item that is $150.00 and multiply it by 0.10
you get $15.00 as the GST add on. Apparently giving you $135.00 as the
pre GST price. However if you then multiply $135.00 by 1.10 you get the
$148.50 as the total.
So the question is how does one calculate the real pre GST price from
an existing retail price?
Regards,
Chris Answered by Penny. 





40lbs is what % of 75lbs? 
20081129 

From Kieara: 40lbs is what % of 75lbs? Answered by Penny. 





A weighted average 
20081127 

From Kenneth: I am interested in determining the answers to the following question by using some type of weighted average:
An investor has $30,000 to invest at simple interest in two accounts. One account earns 2% and the second earns 5%. How much must he invest in each account if his total return is 4% or $1,200? Answered by Penny. 





What % of his salary does he save? 
20081124 

From Tarique: John earns 15000 every month. He spends Rs. 8900 .What % of his salary does he save? Answered by Penny Nom. 





Profit as a percentage 
20081121 

From Nomar: Cost Price is $ 556,109.64 and Selling price is $ 1,020,936.00, What is the Profit Percentage? Answered by Harley Weston. 





The volume is decreased by 25% 
20081117 

From Wanda: If the volume of a sphere is decreased by 25%, what is the new equation? Answered by Penny Nom. 





A group of people 
20081115 

From Michael: In a group of people,
if 20% of the people are 1834 years of age, and 30% of the people
are 2554 years of age.
What are the percentages of people 1824,2534,3554 and other?
Thank you  Mike Answered by Chris Fisher. 





20% of 8 million 
20081031 

From joe: what is 20% of 8million Answered by Penny Nom. 





Markup 
20081021 

From lisa: A television cost Best Buy 400.00. They want to sell it at a price of 1500.00. What would the percent markup have to be for this to happen. Answered by Penny Nom. 





I borrowed 2000.00 at a rate of 7% for 1 year 
20081020 

From carolita: if i borrowed 2000.00 at a rate of 7% for 1 year what would be the interest Answered by Penny Nom. 





100,000 + 20% 
20081016 

From Andrew: I have a question what 100000 + 20% = Answered by Penny Nom. 





What percentage is 33333 of 22222? 
20081016 

From b: How do I find the percentage of 2 numbers?
What percentage is 33333 of 22222? How do I find the answer. Answered by Penny Nom. 





Percentage of an hour 
20081015 

From JESSICA: HI I AM IN GRADE 7 AND FOR MATH HOMEWORK MY TEACHER ASKED US
TO MAKE 8 DIFFERENT TIMES(clocks) AND TELL HIM WHAT THE PERCENTAGE
FOR THE TIME IS.
BUT I DON'T KNOW HOW TO CONVERT TIME TO A PERCENT.
PLEASE HELP ME??!!??
JESSICA
SEVENTH GRADE Answered by Penny Nom. 





A 10% increase in supply 
20081010 

From Irena: How do you find begining inventory if after 10% increase in supply you got 27.5 units Answered by Penny Nom. 





A double discount 
20081006 

From Joanna: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? Answered by Penny Nom. 





Cost before and after the GST 
20081001 

From bruce: Hi, i seem confused on this topic:
If i need to add say 10% GST to a cost then i would times it by 1.1.
If i need to reduce the cost by 10% then i need to divide it by 1.1. that is all well and good.
What if i need to add 12%, 18% or 20% what is the formula then? Answered by Penny Nom. 





Increase pricing by 5% 
20080928 

From Adrian: I am working to increase pricing by 5%. If the price is 100, I would typically use the formulas 100 * 1.05 = 105, which is a $5 increase. An associate suggests I divide to get the desired increase. For example, using $100 with a 5 percent increase. I would use the forumula 100/.95 = 105.26. Thas is a 5.26 increase. Can you explain this method to me an why the different increases? Which one is correct. Answered by Penny Nom. 





144 square inches 
20080927 

From mike: how much cm is in 144 square inches? Answered by Penny Nom. 





Sample variance: inches to centimeters 
20080922 

From Anita: The average height of a sample of basketball players is 6 feet, 2 inches or 74 inches.
The standard deviation of this sample of players is 4 inches. If each person's height were to be multiplied by 2.54, what would be the value of the resulting sample variance? Answered by Harley Weston. 





Markup as a percentage 
20080920 

From itzie: Okay, I've tried to make sense from some of the other questions and
answers but I still don't see the answer that makes sense to me so here goes:
I need an explanation on how $15.00 / .6 = $25 is a 40% and not as one
would see it as a 60% mark up??? I don't get it. Answered by Penny Nom. 





A 5% raise each year for 20 years 
20080913 

From marie: In his first year, a math teacher earned 32,000. Each successive year, he earned a 5% raise. How much did he earn in his 20th year? What were his total earnings over the 20year period Answered by Stephen La Rocque. 





A price reduction and a discount 
20080911 

From Rita: A store advertises that during its Labor Day sale $15 will be deducted from every purchase over $100. In addition, after the deduction is taken, the store offers an earlybird discount of 20% to any person who makes a purchase before 10 a.m. If Hakeem makes a purchase of x dollars,
x > 100, at 8 a.m., what, in terms of x, is the cost of Hakeem's purchase?
(1) 0.20x  15 (3) 0.85x  20
(2) 0.20x 3 (4) 0.80x  12 Answered by Penny Nom. 





The percentage of sand in a soil mixture 
20080905 

From kristi: 2 m 3 of soil containing 35% sand was mixed
into 6 m 4 of soil containing 15% sand. What
is the sand content of the mixture? Answered by Penny Nom. 





A discount as a percentage 
20080905 

From joeann: if a product sold for $40.00 and you got a $10.00 discount what percentage discount do you recieve? Answered by Penny Nom. 





Tara's game show winnings 
20080902 

From David: Tara paid onehalf of her gameshow winnings to the government for taxes. She invested onethird of her winning in Jeff's copy shop at 14% interest and onesixth of her winnings in Kaiser's German Bakery at 12% interest. If she earned a total of $4000 on the investments in on year, then how much did she win on the game show? Answered by Penny Nom. 





The saddle height on a bicycle 
20080831 

From David: The saddle height on a bicycle should be 109% of the inside leg measurement of the rider (http://www.harriscyclery.com). If the saddle height is 37 in., then what is the inside leg measurement?
I don't know how to set up the equation if you can teach me how to set it up it would be great thanks Answered by Harley Weston. 





GST and PST 
20080825 

From Monique: okay i live in ontario and i want to find out what my grand total will be so
i know how much i will have to pay...
so if i have a before tax total of $48.40... what will my grand total be? with
GST and PST i know that GST=5% and PST=8% Answered by Penny Nom. 





Converting centimetres to metres 
20080821 

From walter: how do you convert the smaller unit to a decimal of the larger unit and then solve
17 m  130 cm Answered by Penny Nom. 





Eccentricity of an Elliptical Orbit 
20080820 

From Gina: A satellite has an elliptical orbit around the earth with one focus at the earth’s
center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is
from the surface of the earth is 800 miles, and the lowest is 200 miles.
What is the eccentricity of the satellite’s orbit? Answered by Janice Cotcher. 





A 3% increase 
20080818 

From RENEE: I need to know how to do a 3 percent increase for $118,200......x's it by 3% will not work please answer fast Answered by Penny Nom. 





Percent difference 
20080812 

From mike: What is the percent difference between two homes if one is worth $525,000
and the other is $425,000. (525,000  425,000 = 100,000) Answered by Penny Nom. 





What is the account value after 3 years? 
20080710 

From Carlos: Question
Suppose that you deposited $3,000 at the beginning of each year for three years in a savings account earning 4%. What is the account value after 3 years (approx)?
a. 9,120
b. 9,211
c. 9,739
d. 9,989 Answered by Penny Nom. 





Profit as a percentage 
20080708 

From ANNORIS: Question from annoris, a student:
How to calculate percent of profits using step by step division formula.
I know how to get the profit.
Selling cost was $15.00
Cost amount was $10.00
Total profits its $ 5.00.
But i do not know how to get the percent because i dont know how to divide to well . Can you helppppppp me ? Answered by Penny Nom. 





A net profit of 4% on a sales volume of $100 million 
20080707 

From Muriel: If a firm has a net profit of 4% on a sales volume of $100 million and the
company has instituted logistics programs that result in cost savings of
$1 million, what equivalent sales increase would be required to equal such
a cost savings?
What I do know is that the net profit % has increased from 4% to 5% and
the profit has gone from $4,000,000 to $5,000,000 but I have no idea what
the formula is to figure out how much sales would have to increase to
result in that same profit. Answered by Janice Cotcher. 





Cubic centimeters and milliliters 
20080707 

From Robert: how many milliliters are in 750 cubic centimeters? Answered by Harley Weston. 





GST and PST 
20080702 

From Sharon: The question was asked before but it was based on a G.S.T of 7% and I am now interested in the answer for 5% G.S.T.
It usually comes up when I husband bring homes a gas bill that doesn't break down the gst and pst, but rather just gives him the total cost I have to know how much GST he paid. If it is Diesel the PST isn't included but if it is regular gas he pays both. PST is 7%. Answered by Penny Nom. 





Percentage increase 
20080629 

From Paul: Could you please help me with this question. I was paying $98.00 a month for my health insurance premium, now it is up to $125.83 How much of an increase is that as a percentage increase, and how can I do this on a calculator. I'd like to know how much my increase is as a percentage. Answered by Penny Nom. 





30% profit 
20080619 

From Julie: how do i calculate the price per person that will return a 30% profit on the sales revenue generated? Answered by Penny Nom. 





A 15% discount 
20080618 

From karonn: Muthu bought the following items from a furniture shop which offers trade discounts of 15% on its furniture.
Item 
list price 
office chair 
RM 250 
office table 
RM 1400 
book shelf 
RM 3500 
(a) find the net price of each item.
(b) find the total payment if Muthu bought 3 office chairs, 2 office tables and a book shelf. Answered by Penny Nom. 





A space camera circles the Earth 
20080616 

From Rita: A space camera circles the Earth at a height of h miles above the surface. Suppose that d distance, IN MILES, on the surface of the Earth can be seen from the camera.
(a) Find an equation that relates the central angle theta to the height h.
(b) Find an equation that relates the observable distance d and theta.
(c) Find an equation that relates d and h.
(d) If d is to be 3500 miles, how high must the camera orbit above Earth?
(e) If the camera orbits at a height of 400 miles, what distance d on the surface can be seen? Answered by Penny Nom. 





Price discounts 
20080614 

From karonn: Kinky Trading sells an items for RM90 less 25% and 10%. Softee Trading sells the same item for RM100 less 30%.
(a) find the net price of the item for the two companies.
(b) what additional discount percent must be offered by the company that sells at higher net price in order to meet the competitor's price? Answered by Penny Nom. 





Percent difference? 
20080614 

From Cathy: I am trying to verify a "percent of difference" as stated on a tax form. I cannot seem to come up with the equation to do so.
Here are a few examples on the form:
Last year $62.91 this year $66.05 tax difference $3.14 percent difference 5.64%
Last year $ 2014.97 this year $1982.93 tax difference $32.04 percent difference 57.56%
Last year $97.66 this year $79.58 tax difference $18.08 percent difference 32.48%
I have tried several different ways and per some of Q&A's already on your site I still have a problem and would appreciate some assistance.
ThanksCathy Answered by Penny Nom. 





Percent improvement 
20080612 

From JOHN: IF YOU HAD A RATE OF 678/HOUR AND YOUR NEW RATE/HOUR
IS NOW 1961 WHAT IS PERCENT OF IMPROVEMENT Answered by Penny Nom. 





Rate reduction 
20080611 

From Brian: we had a 2.43% scrap rate last year, compared to a 1.28% this year. does this come out to a .47% improvement?
Thanks for your help Answered by Harley Weston. 





What is 6 over 8 as a percentage? 
20080611 

From stephen: what is 6 over 8 as a percentage? Answered by Penny Nom. 





90% of gross leaseable footage 
20080607 

From Rosalind: 90% of gross leaseable footage in the shopping center, being 394,577, excluding that square footage leased by major anchor tenants, being 284,747. Would you deduct the 284,747 from the 394,577, then multiply by the 90%. Or would you multiply the 394,577 by the 90%, then deduct the 284,747? Answered by Penny Nom. 





Calculating a price based on markup 
20080603 

From Sheldon: I know the most common form for retail businesses of calculating a price based on markup is:
Cost/(1  Markup), but how is this supposed to work for a business that desires a markup of over 100%. Answered by Harley Weston. 





$16000 at 7% per annum for six months 
20080521 

From Delbert: If my principal balance if $16000.00 and I paid 7% interest per annum but only kept the loan for 6 months How much interest would I owe after 6 months. Answered by Harley Weston. 





Percentage difference 
20080520 

From Cavell: Hi, the projected cost was 71,700. The actual cost was 56,876. What is the percent difference? Answered by Penny Nom. 





The wedges in a circle graph 
20080518 

From Libby: I don't understand how to do this word problem:
The cafeteria workers distributed a survey to the student body asking students to pick 1 from a list of 5 choices for their favorite lunch. The circle graph below gives the results of the survey for the students who responded. What is the measure, in degrees, of the central angle for each choice?
And there is a pie chart that has food choices with these percentages: 25%, 20%, 15%, 10%, and 30% Answered by Leeanne Boehm and Penny Nom. 





Percentage difference 
20080514 

From sam: if you move 3,626 packages in 2008 and moved 3,202 in 2007 what percet difference do you have from 2008/2007. Answered by Penny Nom. 





Selling price 
20080510 

From Roxane: I'm trying to figure out the formula for the following, I have a product that
I want to receive a certain profit margin, but with this product I also have
to pay a percentage of commission to someone. I need to know how to
calculate my new selling price taking into account the markup percentage, but
I don't want my gross margin to be lowered. I have calculated the markup
percentage to get my new selling price with the commission, but it lowers
my profit margin once I pay the commission and I don't want it to do that. Answered by Penny Nom. 





Markup 
20080502 

From Sussie: I sold an item for $75.00
It cost me $17.00
How do I calculate to come up with the Markup %? Answered by Penny Nom. 





5 percent 
20080426 

From Lok: I do not understand why 1.05 = 5%, how can I get this?
In additional, if I want to calculate 10 x 5% in excel, what is the formula? Answered by Penny Nom. 





What percent of the 35 graduates took the exam? 
20080425 

From Laura: I have 35 graduates. All but 2 took their board exam. What percent of the 35 graduates took the exam? Answered by Stephen La Rocque. 





What is the % of the resulting solution? 
20080420 

From RON: USING 4 PARTS OF 80% SOLN AND 1 PART OF 20% SOLN, WHAT
IS THE % OF THE RESULTING SOLN? FOR 120ML USE 96 ML OF
THE 80% SOLN AND 24 ML OF THE 20% SOLN BUT WHAT IS
THE % OF THE RESULTING SOLN? PLEASE SEND HOW TO
CALCULATE THE %. IS THE ANSWER 68% ?? Answered by Penny Nom. 





Chord, radius, arc length and central angle 
20080415 

From Cindy: There is a railroad curve with a chord length of 2000 ft. and a central angle of 35 degrees. What is the radius and arc length of the circular arc? Answered by Stephen La Rocque. 





What is 300% as a fraction? 
20080414 

From Carli: what is 300% as a fraction Answered by Stephen La Rocque. 





What is the easiest way to remember how to do percents? 
20080409 

From Amy: what is the easiest way to remember how to do percents? Answered by Stephen La Rocque. 





2500mL of Phosphoric acid 
20080409 

From Trina: If I have 2500mL of Phosphoric acid that has a fluoride concentration of 0.91% and need to increase it to 1.40% how much 49% HF do I need to add? Answered by Harley Weston. 





5% tax on $1,500.00 
20080326 

From Kay: If a sales tax is 5% on $1.500.00 car. What would be the total? Answered by Penny Nom. 





The centre and radius of a circle 
20080312 

From Ryan: hello and thank you for such a wonderful service.
This problem I think needs to be checked could you take a gander at it and tell me if i get it correct thanks
find the center and the radius of this circle x^2+y^2=8x2y+15=0
I cam up with center 2, 1/2 and a radius of 11 3/4 Answered by Harley Weston. 





Percent and range 
20080306 

From Greg: How do you find out the percent of a number that is with in a range of numbers (i.e. what % is 39 of range 34 to 42)? Answered by Penny Nom. 





The profit was what percent of the cost? 
20080229 

From sierra: The profit was what percent of the cost?
Here is some more of that whole problem.
Selling Price$26.60
Discount$6.65
Sale Price after the Discount$19.95
The Profit$5.95 Answered by Penny Nom. 





150 decimeters is how many centimeters 
20080229 

From gayle: 150 decimeters is how many centimeters Answered by Penny Nom. 





GST and PST 
20080228 

From Donna: If I have a total amount and would like to know the amount of GST paid (5%) and I would have also paid PST (7%) in the total, can you give me a number to multiply by to get the answer Answered by Penny Nom. 





A percentage problem 
20080226 

From Suzanne: In a class of 40 students, 80% are business majors. Of the 24 students
who passed the midterm examination, 75% are business majors. What
percentage of students in the class who are not business majors passed
the examination? Answered by Penny Nom and Claude Tardif. 





A triangle and its incenter 
20080211 

From Elle: In the figure, P is the incenter of triangle ABC, the radius of the inscribed circle is 6cm, and the perimeter of triange ABC is 38cm. What is the area of triangle ABC? Answered by Penny Nom. 





How much tax does Zoe have to pay? 
20080211 

From Kelly: Rahsad pays $6.30 tax for a pair of shoes that is priced at $45.
His friend Zoe purchases another pair of shoes on sale for $25 in the same store.
How much tax does Zoe have to pay?
Solve the problem in two ways. Show your work.
What assumptions did you make? Answered by Penny Nom. 





What percent profit is this? 
20080207 

From Vanessa: Mrs Henderson buys a chair for $215.00 and later sell the chair for $336.00 what percent
profit is this? Answered by Penny Nom. 





The cost before tax and shipping 
20080206 

From jonathan: Please explain how to solve this problem. I know you have to work backwards. If i have $125 to spend, how do I know the most I can spend before adding 6% tax and 9% shipping.(shipping is cost before tax) I can only figure this out by trial and error. I know there is a better way Answered by Penny Nom. 





The radius of a circular arc 
20080204 

From Bill: Hi,the Central Angle of a sector of a circle is 40 degrees. The circular arc of the curve has a chord length of 3000 ft. Find the radius(r) of the circular arc. Answered by Penny Nom. 





More than 100% 
20080204 

From francisco: when changing from a percent to a decimal,how can you tell when the decimal will be greater than 1? Answered by Penny Nom. 





Total profit 
20080203 

From Rhonda: I help to manage a concession stand. We sell a variety of items. Some have a profit of 60%, some 80%, etc. We have done nothing scientific to choose our prices. We just try to stay in the ballpark of schools around us. Our administrator wants to pay those that run the concession stand a percent of what is in the cash box after startup money is taken out. We have some gathered some data (not much) on how many of each item we sell and can certainly calculate percent profit. Is the profit for the entire concession stand a weighed average? I'm thinking (% profit on candy)(number candy sold) + (percent profit nachos)(number nachos sold) + (percent profit pop)(number pop sold), etc. Will this work? Does the AMOUNT of profit for these different items need to be figuredin? Hmmm. . . Answered by Victoria West and Harley Weston. 





The 5% GST 
20080202 

From Nathalie: The GST is now 5% I have a new amount $587.43 what is the formula to calculate the GST. On the $587.43 Answered by Penny Nom. 





Percentage savings 
20080201 

From Donna: What is the percentage of savings if I bought an item for $98.60 that was $152.23 and something for $96.48 that was $136.65? Answered by Penny Nom. 





Percentage off 
20080129 

From Donna: What is the percentage of savings if you bought something for $34.00 that was originally priced at $37.60. Answered by Stephen La Rocque. 





How do I convert mcg to ml? 
20080127 

From David: How do I convert mcg to ml? Answered by Stephen La Rocque. 





Percentage of what? 
20080123 

From Jenny: What is the difference in percentage between 31990 and 29990? Answered by Stephen La Rocque. 





Percentage and units 
20080115 

From Kenneth: Hello:
If the sales tax on merchandise sold in stores is 6%. The item is
multiplied by the sales tax of 6%. For example, the sales tax on
pencils worth $1.00 is 6% X $1.00 is $0.06 or 6 cents plus $1.00 for
a total of $1.06.
1. If the tax is 6%/$1.00, why doesn't the dollar sign as a unit cancel
after the multiplication?
Isn't it 6%/$1.00 X $1.00 or whatever the dollar amount is?
The dollar signs should cancel, but they do not.
2. If percentages are unitless, is there a reason? Answered by Harley Weston. 





What do I need on the exam to get an average of 75%? 
20080115 

From Alyssa: Hi there,
I was wondering how i could calculate the mark i need on my upcoming exam in order to increase my final grade. If i currently have a 65% in a class and my final exam is worth 20% what would i need to get on my exam to increase at least 10%
thanks :) Answered by Penny Nom. 





Average Yearly Percentage Change 
20080110 

From Ray: It's about average test scores over a three year span. If the scores were:
2005 52.6%
2006 42.5%
2007 45.5%
What is the average amount they changed each year in three years? Answered by Stephen La Rocque and Harley Weston. 





Base salary plus commission 
20080110 

From mike: i need some help with this word problem.
in november 2001, hall kinion advertised an account executive position in savannah
georgia for a salesperson with experience selling internet services. the job
advertised a 3500 dollar base salary and 24000 dollar to 48000 dollar in
commissions in the first year. Assuming a 20 percent commission rate, how many
dollars in sales would u have to generate to earn 64000 dollars annually. Answered by Penny Nom. 





The 5% GST 
20080103 

From Kim: If I have spent $1700 what portion is GST now that the rate has dropped to 5%? Answered by Stephen La Rocque. 





Percentage of an acre 
20080103 

From Christine: Given that an acre is 43,560 sq/ft; If a piece of property is 19,506 sq/ft, What percentage of an acre is it? Answered by Stephen La Rocque. 





The centroid of a polygon 
20071229 

From David: I am playing around with an idea. I've read previous answers to questions
(using surveyor calculation methods) related to finding the area of an irregular
shape parcel of land (or irregular polygon). Is there a formula or method for
calculating the centroid (midpoint) for this type of polygon. I've seen plenty
of methods for calculating the midpoint for a triangle or regular shape poloygon
but few for an irregular shape polygon such as a parcel of land. Thanks... Answered by Harley Weston. 





Percentage change 
20071219 

From Aaron: I understand how figure percent of change and I can figure it on a calculator but if I have to do it without I'm not sure how to divide when the original amount is larger than the amount of change. For example, the decreased amount is 5.00 on 29.99, what would the percent be. Like I said I can do it on a calculator but need to know how to figure it without one. Answered by Penny Nom. 





Circumcentre of a triangle 
20071218 

From Kathryn: Find the coordinates of the circumcentre of the triangle whose vertices are:
(5, 3), (3, 1), (1, 5) Answered by Stephen La Rocque. 





Profit percentage (markup and margin) 
20071218 

From Laura: If my husband says he sold $11,000 worth of tools and made $1400 on the deal, what is the percent of profit? Answered by Stephen La Rocque. 





A T.V. is offered at a sale price of £460 
20071212 

From Conor: I was wondering if you could help me
with this question which I have for homework.
a) A T.V. is offered at a sale price of £460.
If the reduction was 8%, what was the original price of the T.V.? Answered by Penny Nom. 





Percentage increase in profit 
20071204 

From Dee: If I had a certain % increase in profits for the entire year, why can't I add the profits I made for the first 1/2 of the year to the profit I made in the second 1/2 of the year to get the total year end profit percentage? Or how can I compare the increase/decrease for each 1/2 of the year to the total % increase/decrease? Answered by Penny Nom. 





Percent change between two value ranges 
20071128 

From Joe: How do you calculate a percent change between tow value ranges  for instance if I project a range for 2007 to be between 100 and 120 and a range for 2008 to be between 120 and 140, how do I calculate the estimated increase between the range? Is it 0% to 40% (taking the two inside values rto calculate the minimum and the two outside values rto calculate the maximum?) Answered by Harley Weston. 





Find the centroid 
20071126 

From josh: vertices X(2,6) Y(4,10) Z(14,6) find the coordinates of the centroid Answered by Stephen La Rocque. 





A percent as a fraction 
20071124 

From Abby: write 43.75% as a fraction or mixed number in lowest terms. Answered by Penny Nom. 





20 gallons of concentrate 
20071120 

From Ken: What is the formula I need to use?
I have 20 gallons of concentrate. I am mixing it at 0.5%.
How many total gallons of solution will I end up with?
I came up with 4000 gallons of solution  but not using the easiest of methods. Answered by Penny Nom. 





A 15% discount 
20071117 

From Deanna: if I purchase an item for $450.00 but get a discount 15% of my item what would then be my total Answered by syeve La Rocque and Penny Nom. 





How many centimeters equal one meter? 
20071115 

From Sherrie: How many centimeters equal one meter? Answered by Penny Nom. 





Our company charges a 4% margin 
20071113 

From Nadja: Our company charges a 4% margin on top of a pay rate to obtain the total charge rate. A
client is denying that the total charge rate is calculated in the following
way:
Pay rate/0.96 = Charge rate
Please could you provide me with an explanation which I can pass on as
to why it is calculated in this way? Answered by Penny Nom. 





A 10% markup then a 10% discount 
20071113 

From svetik: The best selling dessert at Chez Russell earns revenue of $5000 per week. During Restaurant Week, they are required to give a 10% discount on this dessert. Because the owner is a crook, he decides to mark up the price the week before Restaurant Week and then give the 10% discount off the marked up price. During the marked up week, they still sold the same amount of pieces as any prior week. However, they expect to sell 100 more pieces during restaurant week. If the revenue from this dessert is the same for the marked up week and restaurant week, what is the normal price of the dessert, rounded to the nearest cent? Answered by Penny Nom. 





How do i convert milliliters to grams for water and also for copper sulfate (CuSO4)? 
20071111 

From jenn: how do i convert milliliters to grams for
water and also for copper sulfate (CuSO4)? Answered by Harley Weston. 





Cubic centimeters to cubic yards 
20071110 

From Logan: if i have 188.4cm^3 of concrete how do i change it into cubic yards? Answered by Penny Nom. 





Constructing the centre of a circle 
20071106 

From Carolyn: I have a line segment AB. I need to divide a segment into 3 parts that are congruent. Please help how to divide it. The answer that I was given previous was not the way the teacher wanted it.
I also need information on how to find the center of a circle given an arc. Answered by Penny Nom. 





Percentage 
20071105 

From K.: I am trying to figure out the percent a student has accomplished some goals. My mind is drawing a complete blank...can you help!
Here are the figures I'm looking at making into a percentage:
Goal #1: yes=136, no=8
Goal #3: yes=131, no=13 Answered by Penny Nom. 





A tshirt is on sell at 33 1/3% off 
20071031 

From kbennett: A tshirt is on sell at 33 1/3% off. Joey paid $12 for his shirt. What was the original price? Answered by Penny Nom. 





Percentages to put on top of an items cost 
20071015 

From GAIL: what is the formula for calculating percentages to put on top of an items cost.
ie: 115.60 with 15% on top Answered by Penny Nom. 





What is the total population? 
20071015 

From Tomco: 7/10 of the population believed 175,104,000 to be true  what is the total population.
We keep coming up with about 227,000,000 by just adding 30% to 175. Why doesn't that
work?
We have since figured out the answer to be 250...but why? Answered by Steve La Rocque and Harley Weston. 





How much can Daisy spend? 
20071014 

From Math: Daisy has $25.00 to spend on dinner. Her sister tells her to leave 18% of the bill as a tip and
the sales tax is 8% of the bill. What is the maximum amount she can spend on dinner in order to cover
the meal, sales tax, and the tip? Answered by Penny Nom. 





The percentage difference between 1/20 to 1/15 
20071011 

From jake: what is the percentage difference between 1/20 to 1/15.... Answered by Stephen La Rocque. 





The aggregate percentage for the year 
20071011 

From Lisa: I would like to add up twelve percentages then divide it by 12 to get the aggregate percentage for the year. How do I accomplish this task? Thanks. Answered by Penny Nom. 





calculating percentages for my class 
20071009 

From Cori: I teach a class in which there are seven projects/quizzes worth 10% each,
and the midterm and the final are each worth 15%. No problem figuring out
their final grade, but I have to give a midterm average, having only FOUR
of the seven 10% things, and the midterm test. The closest I've come to
an accurate "average" is to just add them together (as equals) and average them. Answered by Victoria West & Harley Weston. 





Doubling every day 
20071007 

From Jerrie: Patti saved pennies for 10 days. The first day she saved 1 cent. Every day after that she saved twice as much as the day before. How much money did Patti save altogether? Answered by Stephen La Rocque. 





Arc lengths, central angles and radii 
20071004 

From Ashutosh: Jose can remember that the length of an arc is 440cm, but he cannot remember the radius of the arc or the angle at the center. He does know that the angle was a whole number of degrees and the radius was less than 100cm. Find three possible angles and write down the size of each of the possible radii. Answered by Stephen La Rocque. 





Rolling a die repeatedly (you can't just add percentages) 
20071004 

From Howard: If my son has a 16.66% chance of rolling a particular number on a dice,
and he rolls for it 6 times, he knows (from experience) that his
odds of getting at least 1 right are not 100% (16.66% +16.66%+16.66% etc).
He asked me if there was an equation that would give him the correct
percentage chance of success when trying X times for a Y% chance
of something. Answered by Victoria West. 





Percentage 
20070930 

From carolyn: What percentage is 1 million dollars to 6,450 million dollars Answered by Penny Nom. 





Finding the center of a circle that goes through three given points 
20070916 

From Gary: I am given three points represented by their Latitude and Longitude. How do I determine the Latitude and Longitude of the center of a circle through the three given points?
The lat/lon of the three points are:
A. N 43 degrees 30.251 min. W 96 degrees 45.695 min.
B. N 43 degrees 30.006 min. W 96 degrees 45.082 min.
C. N 43 degrees 30.719 min. W 96 degrees 45.410 min.
Thanks. Answered by Stephen La Rocque. 





$19.54 is 20 % of ????? 
20070914 

From aryanna: i need to find out how to find percentage on a calculator ?? the equation is
$19.54,, is 20 % off????? Answered by Penny Nom. 





Percentage differences 
20070829 

From Camilla: If a store sells a certain syle of skirt, an in the first week they sell 13,
in the second week 20, in the third week 17 and in the fourth week 23, calculate the percentage
difference between the highest and the lowest weekly sale. Answered by Stephen La Rocque and Harley Weston. 





Fractions, ratios and percentages all mixed together 
20070829 

From Charon: Example: x : 1/4% :: 9 3/5 : 1/200 Answered by Stephen La Rocque. 





More on a percentage question 
20070823 

From Dee: In a previous question, you answered:
"What percentage of $34.51 is $10.71?
I translate this English statement into a mathematical statement (equation) using the following
"what" is the unknown, call it x
"percent" is peronehundred, that is over 100
"of" is multiplication
"is" is the verb, which in an equation is the equal sign
Thus the English statement above becomes
x/100 $34.51 = $10.71
Solving for x yields
x = 31.03
Hence the gross profit is 31% of your selling price."
How did you solve for 'x' Answered by Penny Nom. 





Percentage difference between a microcentury and 50 minutes 
20070821 

From Wonder: A lecture period (50 min) is close to 1 microcentury.
Find the percentage difference from the approximation? Answered by Stephen La Rocque. 





Percentage change 
20070821 

From Saleena: Hiya, my name is Saleena and I'm studying business at college. My question for you is what is the percentage change of turnover of the following supermarket.
Turnover (Millions)  ASDA
2001 10,732
2002 12,188
2003 13,326
2004  14,318
2005 14,865 Answered by Penny Nom. 





A mixture problem 
20070821 

From Arul: Hi
Please help me with this question
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of this mixture is X ? Answered by Stephen La Rocque. 





Markup 
20070820 

From Drew: I own a manufacturing business and I need to figure out the best way to mark up our products so that we can make a profit for this year. Say for instance we have a plow that we can make for $938.00. We need to mark it up 20% so that we have some income. Do we take the $938 x 20% = $1125.60 or $938 / 80% = $1172.50? Answered by Stephen la rocque and Harley Weston. 





Percentage change 
20070819 

From nona: If inputs increase by 30% and outputs increase by 15%, what is the percentage change in productivity? Answered by Stephen La Rocque. 





Percentage calculations 
20070815 

From Lorrinn: I process gifts for a nonprofit agency. For some gifts I calculate administrative fees. I understand calculating a straight percentage of a gift (i.e. 10% of $100.00 = $10.00). That's a fee "off the top". What I would like to better understand is the theory or the "mathematical reasoning" behind calculating percentages "on the inside". For example, to calculate 10% "on the inside" of $100.00, I use the following formula: $100.00/1.10*10.0%. The answer here is $9.09. I know how to do this, but I would like to better understand the "why". Thank you. Answered by Penny Nom. 





Percentage change 
20070813 

From Karen: I need a formula for calculating percentages in Excel. For example, we =
sold 4 units of an item one month, and 105 units the next. I need a =
formula to calculate the percentage increase in sales units. Also, if =
5251 were sold one month and 651 the next, what is the formula for =
calculating the percentage difference? Please help, thank you. Answered by Penny Nom. 





GST and PST 
20070811 

From Cynthia: I paid $15.98 for an item. Both GST (.96) & PST ($1.12) were added for a total of $18.06. I know that .96 is GST (6%) and $1.12 is PST (7%).
Other than looking at the receipt, if all I have is the total amount paid, how do I calculate how much of the total are taxes? Answered by Penny Nom. 





What percent of 68 is 51 
20070808 

From Kurt: what percent of 68 is 51 Answered by Penny Nom. 





Buying and selling apples 
20070803 

From Priya: Gorang bought 60 Kg of apples at Rs 48 per Kg. He sold 70% of the apples at Rs 60 per Kg and the remaining apples at Rs 35 per Kg.Find Gorang's gain or loss percent on the whole transaction. Answered by Stephen La Rocque. 





The cost of some groceries 
20070718 

From A student: Two boxesof the cereal and our four cans of the pears were boutht at grocery store,the cereal cost $2.29per box and the pears cost 79cent per can.sales tax is 6% what was the total cost of the food diregerding ? Answered by Penny Nom. 





Discount percentage 
20070711 

From Greg: List Price: $50.00
Discount: 33 1/3%
What would the net price be? Answered by Stephen La Rocque. 





Dried grapes and percentage of water content 
20070709 

From Jyoti: Fresh grapes contain 90% water by weight while dried grapes contain 20 % water by weight. what will be the weight of dry graprs available from 20kg of fresh grapes? Answered by Stephen La Rocque. 





How many ounces in 782 cubic centimetres? 
20070703 

From wilma: how many ounces in 782cubic centimetres Answered by Penny Nom. 





Finding the center of an ellipse 
20070620 

From Sima: find the center of the ellipse with the equation 3x^2 +4y^2+18x32y5=0 Answered by Penny Nom. 





An 18% reduction 
20070615 

From darren: I have a figure of 627.30 i need to find out what
the original amount was before 18% was taken away to leave the 627.30 Answered by Penny Nom. 





Percentage increase and decrease 
20070613 

From Anna: I just want to if the following formula is used for the computation of a PERCENTAGE DECREASE:
Old Value  New Value/ Old Value x 100%
My immediate superior is under the impression that the said formula works ONLY for the computation of a percentage INCREASE. He believes that the formula for a percentage DECREASE:
Old Value  New Value/ NEW Value x 100%
On this score, I want to know the correct formula for the computation of percentage decrease. Thank you so much.
Answered by Penny Nom. 





Percent change over multiple periods of time 
20070607 

From Eric: I am trying to show the percent change over multiple periods of time.
Is there a formula for the percent change over multiple periods or will I have to calculate the percent change for each previous period versus the year prior? Answered by Penny Nom. 





Percentage below the monthly quota 
20070607 

From Greg: Sales quantities for the month were 12,834 with a monthly quota of 14,796. What is the percentage below the monthly quota? Answered by Penny Nom. 





A machine depreciates by 20% each year 
20070603 

From katie: the value of a machine depreciates by 20% each year.
How would i find what single decimal number to multiple the original value by to find its value after 2 years? Answered by Penny Nom. 





The number of grams of sulfuric acid 
20070531 

From cookie: Hi,
Can you please let me know if I've done this correctly?
Calculate the number of grams of sulfuric acid in 0.500L of battery acid if the solution has a density of 1.28 g/mL and is 38.1% sulfuric acid by mass. Answered by Stephen La Rocque. 





Fractions, decimals and profit 
20070529 

From fatima: how can i change a fraction into a decimal and how do i change a
decimal into a fraction................
anther question please what does making a profit have
to do with percentage change!!!!!! Answered by Penny Nom. 





$450.00 six years at 7 percent 
20070528 

From Donna: The future value of 450.00 six years from now at 7 percent Answered by Penny Nom. 





Percent difference 
20070517 

From Carolyn: What is the % difference between these two numbers 211373 & 185420 Answered by Gabriel Potter, Penny Nom and Steve La Rocque. 





Percent 
20070507 

From Art: what percent of 85 is 17? Answered by Stephen La Rocque. 





How many sales does she need? 
20070507 

From Jimi: The new businessperson hopes to earn $50,000 per year. The profit percentage for this type of business is typically 10%. How much must sales be? Answered by Stephen La Rocque. 





Reverse Calculation of GST and PST in Quebec 
20070503 

From Derek: Could you please tell me how to figure out the PST and GST paid on an item.
Example: I paid $10 total (including taxes) and the GST is 6% and the PST is 7.5%, HOWEVER, in Quebec, we pay the PST on the subtotal+GST.
Thanks, Derek Answered by Stephen La Rocque. 





My commsion is 2.5% 
20070502 

From susan: How do you do percentage say i sold a house for 350,000 my commssion
is 2.5% how do i figure that out can you show the formula for calculator please thank you very much Answered by Penny Nom. 





Two concentric circles form an annulus 
20070502 

From A student: In the diagram below, two concentric circles form an annulus. The
vertical line is tangent to the inner circle, and forms the diameter of
a third circle.
Explain why the areas of the annulus and third circle are the same. Answered by Penny Nom. 





Percentage change 
20070501 

From katie: i no many people have asked about this but im still unsure what is percentage change i have my ks3 tomoro so please reply asap thankz Answered by Penny Nom. 





What percentage made a grade below 70? 
20070501 

From Dee: There are 21 students in the class. 1 made a grade of 100, 2 made grades of 90 , 3 made 80,
4 made 70, 5 made 60, 6 made 50.
What percentage made a grade below 70?
I know 11 students made below a 70.
Please help me find the percentage, Answered by Penny Nom. 





Find her score 
20070501 

From shelley: barb had 16 right answers and 5 wrong answers in the math competition. Find her score
Jason had 27 right answers and 4 wrong answers in the math competition. find his score Answered by Penny Nom. 





(ab)/b = c 
20070427 

From Adam: What does
(ab)/b = c
represent when c is a percentage? Answered by Penny Nom. 





What is the Sales Tax? and Shipping? 
20070424 

From Mark: 1 Item $4020.44
1 Item $1749.86
1 Item $11455.62
Total 17,225.92
The sales tax and shipping is included in the total. The sales tax rate is 8.75%
What is the Sales Tax? and Shipping? Answered by Stephen La Rocque. 





Find the percentage of the students that are here? 
20070423 

From C.: If there are 260 students on roll and 11 of them are absent, how do i find the percentage of the students that are here? Answered by Stephen La Rocque. 





Two concentric circles 
20070419 

From James: Two concentric circles have a chord running through the outer one. The chord is the tangent of the inner circle and is 14 cm.The outer circle is shaded and the inner circle is not. Find the exact area of the shaded region without using a calculator. Answered by Stephen La Rocque. 





I want to mark up a price by 5% 
20070419 

From Steve: ok so i want to mark up a price by 5% or any percentage.
which is correct? ( this is done with a calculator with a % button)
a.
62*5% = 3.1 (3.1 + 62) = 65.1(total)
b.
62+5% = 65.263(total) (rounded to the 3rd decimal)
im trying to wrap my head around this.
the calculator has a button which does % all automatically.
Markup *20 which equal 5%.... Answered by Stephen La Rocque and Penny Nom. 





Fahrenheit and centigrade 
20070418 

From kyrie: help ?
temperature formula: f and c represent degree's of temperature.
exact formula:
f = 9c / 5 + 32
approx formula:
f = 2c + 30
at what temp in c do these formulae give an equal value for f ? Answered by Stephen La Rocque. 





The orthcentre and the circumcentre 
20070405 

From Ruby: I have tried to do this question so many times, could you please, please,
please show me how to do it. I just can't get the answer:
What is the (i)Circumcentre and (ii)Orthocentre of the triangle with
vertices a(2,2) b(2,6) c(5,3)? It would be so great if you could show
me how to do this. Thanks in advance,
Ruby. Answered by Penny Nom. 





How much did it originally cost? 
20070404 

From Megan: My question is simple:
"Jim is able to sell a handcarved statue for $650 which was a 35% profit over his cost. How much did ie originally cost?"
I don't even know where to start could you help? Answered by Penny Nom. 





n($) x 35% equals $159,530 
20070329 

From Christine: If n($) x 35% equals $159,530 what is n? Answered by Penny Nom. 





How do I extract 14% 
20070319 

From Richard: I need to find the calculation to answer this;
I have the figure 379.28, how do I extract 14% from this figure
to extract 17.5% I div by 6.714, however i cannot find the formula
on how to do this an extract 14% Answered by Stephen La Rocque and Penny Nom. 





Percentage markup 
20070316 

From Debbie: What formula or formulas do I use if I want to ultimately charge a customer $300 for a service, but need to factor in a 15% commission for a sales rep, $20 to cover the cost of our overhead, the cost of a $25 coupon that we will be sending to the customer to apply to future services. In other words, what amount do I initially quote the customer to be able to cover these costs? Answered by Stephen La Rocque. 





The Geosphere at the the Epcot Center park 
20070316 

From stephanie: The epcot center has a diameter of 265 ft the park needs to paint the park one can will cover 400 sq ft how many cans do they need ? Answered by Stephen La Rocque. 





Percentage increase 
20070316 

From Gerry: How do I figure the percentage between a small circle and a large circle Answered by Penny Nom. 





The percentage difference between 64.24% and 74.24% 
20070303 

From M: What is the percentage difference between 64.24% and 74.24%? Answered by Stephen La Rocque and Penny Nom. 





Percentage markup 
20070223 

From Jim: If a total amount includes a part price plus a markup percentage how do you calculate the part price if you know the markup % allowed. For instance : $810.00 includes a part plus 13.5% markup. How do I calculate the part price from this info? Answered by Penny Nom. 





Jim had 45 marbles and he lost 11 1/9% of them 
20070220 

From Mesha: If Jim had 45 marbles and he lost 11 1/9% of them, how many had he left? Answered by Steve La Rocque and Haley Ess. 





What is 40% of 936? 
20070214 

From naheem: what is 40% of 936 Answered by Sara Ulmer. 





Centimeters to cubic meters and grams to kilograms 
20070214 

From Colleen: A box of balls measures 120cm by 20cm by 20cm and weighs 48 g. One thousand boxes = x cubic meters and weighs x kilograms. Also, one million boxes = x cubic metes and weighs x kilograms. One billion boxes = x cubic meters and weighs x kilograms. Solve for x. Answered by Stephen La Rocque. 





Square centimeters 
20070212 

From Ivan: how many square centimeters are in a rectangle that is 210 centimeters long by 39 centimeters wide.? thank you Answered by Karen McIver and Melanie Tyrer. 





Two concentric circles 
20070211 

From maria: i have a problem with this quadratic word problem which i am trying to solve it but couldn,t get it please help me to solve this question Two concentric circles are drawn, the radius of one being 2cm greater than that of the other. The area of the ring enclosed between the two circles is one quarter of the area of the smaller circle.Calculate the radii of the circles,correct to three significant figures. (Don,t substitute for pie) Answered by Stephen La Rocque. 





income percentages 
20070205 

From karen: I would like to know what percent of a bill each person would pay based on the income differences one person makes 78968.00 and the other makes 52000.00 I believe it is 65% and 35%
so if a bill is 120.00 one person pays 78 and the other pays 42 is this correct thanks Answered by Stephen La Rocque. 





The centre and radius of a circle 
20070127 

From A student: x^2+y^2=121 is the equation of the Circle C
(1) Write down the center and the radius of C. Answered by Stephen La Rocque. 





6.9 is 11.5 percent of what number? 
20070125 

From David: 6.9 is 11.5 percent of what number? Answered by Penny Nom. 





Percent elevation gain 
20070124 

From Susan: okay... so if I hike Gregory Canyon and it's a 1.1 mile hike with a 900 foot elevation gain, what's the percent elevation gain? Answered by Stephen La Rocque. 





Percentage markup 
20070116 

From Lauren: MY DAD IS TRYING TO SELL PRODUCTS AT A 40% MARKUP. LET'S SAY THE COST IS $55.00. SHOULDN'T YOU JUST DO, 55 X 1.4 = 77 , SO THE $77 IS THE 40% MARKUP?? HE'S SAYING THAT YOU TAKE 55 / 60% = 91.67 . SO WHO'S FORMULA SHOWS YOU A TRUE 40% MARKUP OF $55.00 DOLLARS?????? Answered by Penny Nom. 





What is the percent of the decrease? 
20070110 

From Bill: if the value of xyz company stock drops from $25 per share to $21 per share, what is the percent of the decrease? Answered by Penny Nom. 





13.78g /11.3mL 
20070105 

From Judd: 13.78g /11.3mL Answered by Penny Nom. 





A percentage 
20061221 

From Kim: At a company fish fry 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses? Answered by Stephen La Rocque. 





Percentage increase 
20061221 

From Wang: The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month? Answered by Penny Nom. 





I want to convert milliliters into grams. 
20061214 

From Kenchotenzin : I want to convert milliliters into grams. Answered by Penny Nom. 





Percentage increase 
20061129 

From Toya: I have some statistics from year to year based on drug seizures.(units= lbs) e.g. in 2005 123lbs seized in 2006 1518lbs seized. now i worked out the percentage increase as to be in the thousands which from looking at the figures is correct however i don't want to say 1000% increase.
using another formula current previous *100 I got 92%. what exactly does this 92% represent and how can i use this number when presenting my answers instead of using 1000 + % Answered by Stephen La Rocque and Penny Nom. 





Percentages 
20061123 

From Hyaqcinth: I just do not understand percentages...if the cost of a product is $1.20, how can I make a profit of 55% ? how do I calculate this problem? Answered by Stephen La Rocque. 





What percent of the people oppose putting in curbs? 
20061117 

From DeeDee: The ratio of people who support putting in curbs to those who oppose it is 2 to 5. what percent of the people oppose putting in curbs? Answered by Stephen La Rocque. 





The semester grade 
20061103 

From Caroline: Can you tell me how to calculate a grade based on a percentage formula where 15 assignments account for 40% of the grade and 3 tests account for 60% of the semester grade. Answered by Penny Nom. 





How much smaller is this one in percentage? 
20061024 

From Michael: I have two different squares. One of them is smaller than the other. I need to know how to calculate how much smaller it is in percentage. 11.95mm x 6.72mm 11.2mm x 6.3mm How much smaller is this one compared to the one above in percentage? Answered by Haley Ess. 





Percentage differences 
20061023 

From Michael: how do I calculate the percentage difference of a certain box size. for example. How much percent smaller is this box: 8.4mm x 6.3mm to this box: 9.35mm x 7mm Answered by Stephen La Rocque. 





Percentage increase 
20061015 

From Amanpreet: in yr 7, bill was 1.28 m tall, in yr 9 he was 1.67m tall. calculate his percentage increase in height Answered by Stephen La Rocque. 





Plotting percentage change 
20061011 

From Beckie: I have worked out a set of percentage differences which are all percentage decrease. Should i express them as a negative percentage as 20%? I also need to plot them on a graph and am not sure whether to just use the percentage difference as it is, in which case i get a positive gradient, or include a negative axis and plot them in this way, in which case i would get a negative gradient. I think the slope of the curve will be the same either way so it might not matter! Answered by Penny. 





2/3 as a percentage 
20061010 

From Marlene: 2/3 is what percentage of a circle?
Answered by Penny Nom. 





What was the total cost of the dinners he served 
20060910 

From Connie: Walter is a waiter at the town diner. He earns a daily wage of $100 plus tips that equal to .15 of the total cost of the dinners he serves. What was the total cost of the dinners he served if he earned $170 on Tuesday? Answered by Stephen La Rocque. 





Grossing up payroll wages 
20060827 

From Katie: I really need to understand (spelled out step by step) how to gross up payroll wages. Answered by Penny Nom. 





Annual percentage yield 
20060817 

From Joe: If you have $360,767 in a money market fund that has accumulated a total of $2,127 in year to date dividends (an eight month period January to August) what is the annual percentage yield. Answered by Penny Nom. 





Percentage Difference 
20060725 

From Sandra:
I have two numbers (1530 and 1315). How do I calculate the percentage difference.
For example: I have one loader that lifts 1530 lbs. and another loader that lifts 1315 lbs. I know the difference is 215 lbs. How much greater lift capacity does the loader that lifts 1530 lbs. have than the loader that lifts 1315 lbs.?
The formula that I used was:
1530  1315 = 215
215/1315 = .163498 or 16.3%
Is this correct?
Answered by Stephen La Rocque. 





What is the interest on $50,000.00 at 5% for 40 days? 
20060712 

From A borrower: What is the interest on $50,000.00 at 5% for 40 days? Answered by Penny Nom. 





A goods and Services Tax calculation 
20060701 

From Carol: If I have $1700 how much of that is GST? Before the GST was changed to 6% you would multiply $1700 by .06542. Now what number do you multiply for 6% GST. No PST involved. Answered by Penny Nom. 





A percentage question 
20060628 

From Terrence:
Given the percentage and the total amount, I need to know how to arrive at the total amount without guessing.
Example: 25\% of what is $298,750.00
Answered by Stephen La Rocque. 





Rates and percentages 
20060620 

From Todd: If rates are about to rise 1.84%, from the current 5.30% that they are currently at. What amount are they going to increase to?
I ask because many publications print an answer that is 7.14% but I don't see that as correct because the first line would have to say an increase of 184 basis points for that to be correct. My answer to this is about 5.4%. Am I thinking correctly?
secondly, if rates are about to move to 7.14% from 5.3% what percentage move is this?
I get an answer of about 35%. am I off on this or is everyone else that I ask not calculating correctly? Answered by Claude Tardif. 





How much did I have in my wallet when I lost it? 
20060615 

From Marangeo: I recently lost my wallet and when it came to completing the police report I couldn't remember how much money I had in there. I do remember thinking that the first time I bought something that it cost me 10 per cent of what I had. Then I noticed that the second purchase had also cost me exactly 10 per cents of what I had left. My receipts totalled $19. How much did I have in my wallet when I lost it? Answered by Stephen La Rocque. 





Can you explain the differences between margin and mark up? 
20060607 

From Michelle:
I have a widget I buy for $10. I want to make a 40% margin on the product cost. What do I then sell to the customer for?
Also, can you explain the differences between margin and mark up?
Answered by Penny Nom. 





A 3% tax 
20060510 

From Stacey: Illinois residents have to calculate their state income tax as 3% of their taxable income. If Mr. and Mrs. Grisham's taxable income for 2004 was $81,200, how much tax did they have to pay? Answered by Penny Nom. 





Percentage of weight 
20060426 

From Karen: How do you calculate percentage of weight lost? Answered by Stephen La Rocque. 





How do I find the percentage interest? 
20060424 

From Cheryl: Kiera invested $43,608 in a mutual fund that paid
$432.96 in interest at the end of the year. What was the percent interest Kiera earned from her initial investment? Answered by Stephen La Rocque. 





What's the difference between percentages and points? 
20060421 

From Sayed: What is the difference between percentages and points? Answered by Stephen La Rocque. 





What is the original cost? 
20060419 

From Charlie: Selling a piece of furniture for $670 and the profit is 35%. What is the original cost? Answered by Stephen La Rocque. 





How much money can I borrow if I have $5 000 for a deposit? 
20060419 

From Chris: I have a sum of cash that I want to use as a deposit ($ 5 000) and a lender will lend me 65% of the purchase price. How do I calculate the maximum value I can borrow?
Answered by Stephen La Rocque. 





Reverse percentage 
20060419 

From Mike: How would I calculate a reverse percentage?
Let me give you an example. I have two values that calculate to a success rate of 93.32. Total=1546051 Failures=103302. (1546051103302)/1546051=93.32% success.
Now how much would I need to increase the total value to get the success up to 95%? Answered by Stephen La Rocque. 





Price percentages 
20060413 

From Kristine: An item that is no longer on sale at "25% off" receives a price tag that is 33 1/3% more than the sale price. Has the item price been restored to its original price? Why or Why not? Answered by Stephen La Rocque. 





Markup 
20060407 

From Larry: Calculators from different manufacturers work differently. Enter 100, then plus 15%, on some calculators you'll get 115 on others return 117.65 . On any calculator, enter 100, then divide by 0.85 (point 85) and you'll get 117.65 .
I don't understand this well enough to explain to my grandson, but as a salesman, I know which one to use. Answered by Penny Nom. 





A square in a circle 
20060405 

From Lisa: A square is inscribed in a circle. Determine the percent of the circle's area that is outside the square. Answered by Stephen La Rocque. 





List price plus 10% 
20060403 

From Heather: We shipped 2 pieces of an item with a unit price of $578.74 for a total amount of $1157.48. My task is to bill the customer at LIST + 10%. What formula do I need to use to calculate this? Answered by penny Nom. 





The centre and radius of a circle 
20060402 

From Kaye: I need to calculate Dimension E and F. I am given A, B, C, (or over all A+B+C), D, G. The radius is one continuous unknown radius.
Example: A = 23.50
B = 35.50
C = 0.50
D = 11.50
G = 23.50
I have calculated this for angles but my mind is drawing a blank for the radius calculation. I can draw it but I need to put into Excel spreadsheet.
Answered by Harley Weston. 





What percentage of the seniors polled yes? 
20060320 

From Jean: An equal number of juniors and seniors responded to the question, "Do you like math?" Each respondent said yes or no. If 70% of those who said yes were seniors and 80% of those who said no were juniors, what percentage of the seniors polled yes? Answered by Penny Nom. 





A bill with a 15% tip and a 10% discount 
20060320 

From Tracy: A $4500 bill is presented, without tax. 10% discount coupon. Add 15% tip with 3 people spitting for the sever. Answered by Penny Nom. 





Gross profit as a percentage 
20060318 

From Mark: How do I calculate the gross profit by percentage on and a product I purchased for $23.80 marked up 45% sold for $34.51 = profit of $10.71 GP by percentage???????? Answered by Penny Nom. 





A reduction of 10% in the price of tea 
20060308 

From Bidhu: A reduction of 10% in the price of tea enables a dealer to purchase 25 kg more tea for Rs 22500.What is the reduced price per kg of tea?What was the original price per kg? Answered by Stephen La Rocque. 





If something costs $40, and they took 20% off, what is the original price 
20060304 

From Kevin: If something costs $40, and they took 20% off, what is the original price Answered by Penny Nom. 





A 5900% increase 
20060303 

From Pat: I want to find out the % of production increase from 250 dolls a month to 15,000 dolls a month. i think it is 5900% but that seems too high. Answered by Penny Nom. 





An account that earns 6% annually 
20060301 

From Christine: How much do you have to deposit to an account that earns 6% annually if you want to earn $1200 on the account? Answered by Stephen La Rocque. 





Cutting off the top of a triangle 
20060222 

From Ken: I'm a creative type who needs to find how you can determine the horizontal, relative percentages within a triangle. Attached is a pdf showing approximately the
50% line, but I'd like to know how to determine any percentage (horizontally) within a triangle . I know that if I put a horizontal line though the height of the triangle I won't be showing 50% above and 50% below. The bottom part has to be larger (correct me if I'm wrong).
I'm not concerned about height as I am wanting to break down the percentages into 60% at the bottom, 25% in the middle and 15% at the top.
Answered by Penny Nom. 





What percentage of 120 is 24? 
20060222 

From Julie: What percentage of 120 is 24? Answered by Penny Nom and Stephen La Rocque. 





A man sells a refrigerator for $171 
20060220 

From Skye: A man sells a refrigerator for $171, gaining on the sale as many percent (based on the cost) as the refrigerator cost, C, in dollars. Find C. Answered by Stephen La Rocque. 





A 35% discount 
20060219 

From Marc: If Julie paid $455.00 for a television and it was already discounted by 35% what was the original price? Answered by Penny Nom. 





Percent gain 
20060214 

From Bill: If a stock is bought at $3.50 and sold at $5.80, what percent was the gain? Answered by Penny Nom. 





Working with percentages 
20060210 

From Mark:
Hi, i have problem...i am trying to average a group of numbers....when i try to average the average...its gives a different results:
A 
b 
c 
d = A/(bc) 
1169 
1173 
1 
100% 
534 
540 
0 
99% 
358 
359 
0 
100% 
172 
174 
0 
99% 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
. 
2375 
3422 
24 
70% 
1976 
3677 
42 
54% 
1431 
3660 
53 
40% 
187 
3433 
57 
6% 
761 
3142 
39 
25% 
2080 
2109 
7 
99% 




38280 
49121 
266 
78.35% 
When I try to average column D  it yields to 86.73% and not 78.35?
Please help me
Answered by Penny Nom. 





More on percentges 
20060210 

From Rich: I need to dilute several owners who combined own 66% down to 50% and increase the 34% owner to 50%. I thought it was as simple as taking 16% away from each of the 66% and transferring that amount to the 34%, but it doesn't add up. Answered by Penny Nom. 





A percentage question 
20060209 

From Graham: If i order 700 lines in total, 500 lines on order A and 200 lines on order B how bo i work out the percentage of lines ordered on order A Answered by Penny Nom. 





Mixing 
20060203 

From Caren: If I am 75% flippino and 25% white and the guy is full white what will be the whole percentage of the flippino and white nationality in the baby? Answered by Penny Nom. 





What is 3.5% of 4000.00? 
20060131 

From Ellen: What is 3.5% of 4000.00?
What is 3.5% of 2000.00? Answered by Penny Nom. 





Percentage increase in sound intensity 
20060129 

From David: I am doing some emotion response mapping.
Being a composer I know how to push the heart beat tempo by a % increase of BPM in my music. I want to know how to calculate an increase in intensity of sound. Now I have 60 decibels. I want an increase of intensity by a factor n% with out going over 156 decibels.
Answered by Penny Nom. 





Percentage weight change 
20060124 

From Abdul: what is the percent change if a person's weight changed over 3 years:
year 1995 1997 1998 %change(19951998)
weight 63kg 67kg 73kg ......... Answered by Penny Nom. 





Our client wants to make 25% from their sale... 
20060124 

From Noelle: I need to figure out how to figure pricing for our clients. If our client wants to make 25% from their sale and they purchase it from me for $35.95, how do I figure what their cost is? Answered by Penny Nom. 





A circle problem 
20060123 

From Matyan:
Find the standard equation of the circle that passes through the points (0,4) and (3,7) with center on the line
2xy+4=0.
I've tried substituting the two points to the general equation of a circle, but I can't solve it without a third equation. The problem here is I don't really know how to use the given line of 2xy+4=0. Please help. Thank you.
Answered by Penny Nom. 





Markups and discounts 
20060121 

From Dan: I'm trying to increase my pricing by 30 percent. I'm doing something completely wrong. If my price is $150.00 and I increase the price by 30 percent. I would take 150 times .30 and that equals 45. I would then take 45 plus 150 and that would give me 195. My problem is now 195 is my list price. If I turn around and give my customer a 30 percent discount off the 195 the price ends up being 136.50. Which is less than the 150 that I started with. I'm confusing myself and have totally lost confidence in what I'm doing and how . Can you help me? Answered by Penny Nom. 





The centroid of a triangle 
20060118 

From Andrea: I am trying to find the centriod of a triangle. I have been given the three vertices of the triangle: A (25, 20), B (5, 40), and C (15, 30). I believe I calculated the correct midpoints: AB(E) (5, 5), BC(D) (5, 5), and AC(F) (15, 30). When I graphed these points I came up with the solution (5, 10), but I can't seem to write the answer out (equations of the lines, etc) correctly. Any help would be greatly appreciated! Answered by Penny Nom. 





Percentage discount 
20060115 

From Louise: Avril is buying a computer. She finds two places with a discount."Classy Computing" is selling a computer that was £650 and NOW it has £50 off.
"WWW.CHEAPO.COM" is also selling a computer that is £650 but it NOW has 10% off.
WHICH IS CHEAPER? Answered by Penny Nom. 





Percentage markup 
20060110 

From Ian:
I have a markup question for you. I work for a painting company, specifically I estimate cost and sell painting projects. Within our office, we've had some discussion on how markup should be calculated for materials that we include in our prices. These are the two scenarios that we've come up with.
1. Mark up as a percentage of the cost: Cost = $ 10.00 X 15% Markup = $ 1.50. $ 1.50 + $ 10.00 equals $ 11.50 as a sale price.
2. Selling Price = Cost / (1the desired profit margin). This would equal to $ 10.00 / (1.15) = $ 11.76 roughly.
If you have any information on whether one is more correct and why, I would appreciate this. I want to make sure that I am marking things up correctly.
Answered by Harley Weston. 





10% of 20% of 40% of ... 
20060108 

From Michael: What is 10%
Of 20%
Of 40%
Of 80%
Of 1000? Answered by Penny Nom. 





Milliliters, centiliters and hogsheads 
20060103 

From A worried teen: How many milliliters are in a centiliter?
and What is an equivalent to a hogshead in liquid measuring? Your help is greatly appreciated. Sincerely worried teen
Answered by Penny Nom. 





Percentage change when you start from zero 
20060102 

From Joseph: I am not sure if my meaning for calculation for a percent change (CP/P)x100) is correct. In this case, C=10, P=0, does this mean 100 percent increase from previous period? Answered by Harley Weston. 





Percentages in our daily life 
20051223 

From Naina: what are the uses of percentages in our daily life Answered by Penny Nom. 





Percent change 
20051217 

From Marie: What is the percentage change when 1500 becomes 2000? Answered by Penny Nom. 





Percentage increase 
20051215 

From Luiz: I would like to know how much net income in % we have increased from 2005 to a 2006(projection).
2005 Net Income Actual: $1,599,887
2006 Net Income Budgeted: $2,067,339 Answered by Penny Nom. 





what is 5'7 
20051126 

From A student: what is 5'7" inches in cm? Answered by Harley Weston. 





Percent or percentage 
20051103 

From Kenneth:
Which word should be used in the following?
Change a (percent or percentage) to a decimal.
Should the word percent be used only when a number precedes it as in 45 percent?
Answered by Harley Weston and Chris Fisher. 





Marked down 31% 
20051027 

From Virginia:
Question: How do you calculate a percentage back into a cost?
Example: $1,025.00 sale cost and I want to add 31 percent back into it for a list cost.
Answered by Penny Nom. 





Inches and millimeters 
20051008 

From Ron: You know they say 14mm = 9/16" or something of that nature, i need to know exactly how this is done. Answered by Chris Fisher. 





Inches and millimeters 
20050930 

From A student: how many inches are there in mm? For example 30x40 mm = how many inches. Answered by Penny Nom. 





Markup 
20050922 

From Cassie: The retail price of a car stereo is $265 and the markup rate is 68%. What is the wholesale price of the car stereo to the nearest dollar. Answered by Penny Nom. 





Percent markup 
20050919 

From Dan: If a product cost $2.00 and sells for $2.00 there is 0% markup
If a product cost $2.00 and sells for $4.00 there is a 100% markup
If a product costs $2.00 and sells for $6.00 there is a 200% mark up which I don't understand I would think that the markup would be 300%
If a product costs $2.00 and sells for $8.00 there is a 300% mark up " " " " " " " " " " 400% Answered by Claude Tardif. 





Percentage increase 
20050919 

From Dory: Last year sales was 120,000 $ and this year sales is 280,000 $, there was an increase in sales. what I would like to know is the percentage increase between the years with the formula. Answered by Penny Nom. 





What is 3% OF $200.00? 
20050914 

From Glenda: What is 3% of $200.00? Answered by Penny Nom. 





Is this percentage change or percentage increase? 
20050815 

From Betty: When calculating a percentage, if the formula is
A(new)  B(old)/A(new)
Is this percentage change or percentage increase? Answered by Penny Nom. 





10% of $50 
20050716 

From A student: If I had $50 and 10% of it had to go to my mother, how much would I have left? Answered by Penny Nom. 





A percentage of the whole 
20050716 

From A student: two people both own property and would like to combine their properties into one. the first person contributes 1 acre and the second person contributes 1.5 acres. of the whole, how much percent does the first person own? Answered by Penny Nom. 





What percent of 100,000 is 629.77? 
20050708 

From Someone: What percent of 100,000 is 629.77? Answered by Penny Nom. 





Percent change 
20050701 

From Betty: Can you tell me the difference between Percentage Change, Percentage Increase, Percentage Difference and please give an example of each, I am very visual. Answered by Penny Nom. 





Profit of more than 100% of cost 
20050622 

From sam: I know I can work out what percentage profit I am making by : profit/cost x 100, and I can work out up to 99% profit (the way I currently calculate it is profit x 1.99) But how do I work out any amount over 100%, say for instance I have something that costs me $0.52 that I wish to sell for 250% profit? Answered by Penny Nom. 





20% profit 
20050612 

From Shawn: If I know that I will be paid, say, $150.00, for labor, and I want to make
20% profit on what I pay for the labor, what is the calculation and factoring
process?
I see it like this
(x*.2)+x = 150
but I don't know how to factor it out from there. Answered by Penny Nom. 





Cost price 
20050525 

From Sunitha: What is (how to calculate) the cost price of a product which is markedup by 15% and retailed at $25? Answered by Penny Nom. 





A 5% increase 
20050427 

From Debra: How can I determine the increased percentage of a dollar amount? I.e.: One dollar amount is $202 and another is $150, how can I determine the 5% increase from last year on the $202 dollar amount? Answered by Claude Tardif. 





40% profit 
20050419 

From Carol: Could you please tell me the formula to calculate for example a 25% profit on cost.
I.e a sandwich cost .75p for the cost of ingredients, I wish to make a 40% profit on that cost so what do I multiply and divide it by to arrive at the selling price in order to achieve a 40% profit? Answered by Penny Nom. 





Percentage increase 
20050419 

From Tom: What is the percentage increase from (negative $9262.00) to (positive $3840.00)? Answered by Penny Nom. 





Centimeters, millimeters and milliliters 
20050419 

From A student: How many milliliters in a centimeter? Answered by Penny Nom. 





A 25% markup 
20050407 

From Jason: I want to markup $2.00 by 25%...How do I do this??? Answered by Penny. 





The centroid of a triangle 
20050407 

From Maria: Q3)find the coordinates of the centroid of triangle ABC
i want your help here to solve the 3rd question i got stuck. Answered by Penny Nom. 





The benefits of saving for retirement 
20050311 

From Nick: A human resources department wants a report that shows its employees the benefits of saving for retirement. Produce a report that shows 12 predicted retirement account values for each employee  the values if the employee saves 5, 10, or 15% of his or her annual salary for 10, 20, 30, or 40 years. Assume that savings grow at a rate of 8% per year. Not really interested in answers, just the equations to solve the problems. Answered by Penny Nom. 





Reverse pecentage 
20050301 

From Nathan: Question for you. If I have spent $10.00, what is the mathamatical equation to
figure out what the G.S.T (7%) was?
Also if I were to spend $80.00 on a hotel, and I would like to know how much
G.S.T (7%) and how much provincial tax (6%) I spent how would I go about this.
Answered by Penny Nom. 





A triangle question 
20050226 

From John: H=10' 7and3/4",angleX=30 degrees solve for the adjacent side Answered by Penny Nom. 





$14k is 22% of ________ 
20050219 

From A parent: When one knows the
percentage, and a known number, how is the unknown total figured? In other
words, I know that $14k is 22% of what number?? Answered by Claude Tardif and Penny Nom. 





Sales before tax 
20050209 

From Lynda: I know my total sales for the month, which includes sales tax. How do I get to the sales dollars before the sales tax? Answered by Penny Nom. 





Are the vetices of this quadrilateral concyclic? 
20050130 

From A student: Show that the peints A(2,0),B(6,6),C(1,7) and D(2,6) are concyclic. Also find its circum radius. Answered by Chris Fisher. 





Cost before the markup 
20041123 

From Norman: the sum of eg $130 includes the markup of 30%.
However I need to calculate the percentage to apply to the $130 to assess the cost ie $100. Answered by Penny Nom. 





A 40% reduction 
20041110 

From Cathy: I'm having trouble figuring out how to figure a percentage??? it's easy to find what 40% of any given number is, but how would i accurately figure out what is the final number is when i know the number after the 40% has been removed? when i add 40% to this number it obviously is lower than it should
be. the best i could figure is;
x=?40% > x?=40% i'm all confused???? Answered by Penny Nom. 





42.5 is what % of 170? 
20041105 

From Dawn: 42.5 is what % of 170? Answered by Penny Nom. 





Adding 3% to get 120,000 
20041102 

From Shaun: I was asked a question by a friend of mine's kid. He asked me if you had a final figure of say 120,000, how do you work out the amount you started with if you added 3% of the starting amount, to the starting amount to get the 120,000.
Answered by Paul Betts. 





Vectors in three space 
20041030 

From Jo: I have two questions that I just cannot visulise and dont know how to get started on them..!
1. Ship X is sailing North at 4m/s and Ship Y is sailing due East at 3m/s. A sailor on Ship X climbs a vertical pole at 1/2 m/s. What is the velocity of the sailor on Ship X relative to an observer on Ship Y? State it's magnitude and direction.
Not sure where to start with this one...
2. Show, using vectors, that for any tetrahedron, the segments joining the midpoints of the opposite edges are concurrent.
i know what a tetradedron is, and what I am proving but do I solve simultaneously for a specific case?? Answered by Walter Whiteley. 





Ratios and rates 
20041027 

From Kenneth: What is the difference between a ratio and a rate? Answered by Penny Nom. 





A 40% increase in garage space 
20041020 

From Dianna: A bus company recently expanded and no longer has enough room in its garage for all of its buses. Twelve of the buses have to be stored outside. If the company decides to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company own? Answered by Penny Nom. 





$25,000 at 11% per year 
20041013 

From A student: suppose u have $25,000 to invest and the interest rate at your bank is 11%.
1) how much money would you have at the end of EACH of the first four years?
1) i already kno that the first year w/ interest is $27,750 but how do i get the 2nd? 3rd? 4th? years? Answered by Penny. 





37% 
20040926 

From Andrew: how do we change 37% into a fraction Answered by Penny Nom. 





Payment plus interest 
20040914 

From Penny: Brian wants to borrow some money from Margaret.
After three years he is to pay X back plus one interest sum of 25%. If he is pays back a total of $3800, what was the original sum borrowed? Answered by Penny Nom. 





105.6 is a discount of 12% from x 
20040910 

From David: If I know that 105.6 is a discount of 12% from x, how do I find x?? Answered by Penny Nom. 





Percentage change 
20040830 

From Lauren: if egg A weighed 55.4g and after 2 days it weighed 60.9g how could i calculate the percentage change in weight? Answered by Penny Nom. 





69 is what percentage of 113 
20040828 

From Mary: How do I work out what percentage of 113 69 is? Answered by Penny Nom. 





Percentage of a quota 
20040826 

From Jenni: I have the year to date sales of $2,042,744 and the quota is $2,257,440, how do I figure the percent quota. Answered by Penny Nom. 





130 cc. is ? 
20040820 

From Ayrn: 130 cc. is ?
I have to put 130cc. of petroleum in a bucket how much exactly is that?
Also 110 cc.?
I have to also put 110cc. wood alcohol in a bucket aswell! Answered by Penny Nom. 





Percentiles 
20040815 

From Gary: Table 1
Selected percentiles for family income in the US in 1992
1 $1,300
10 $10,200
25 $20,100
50 $36,800
75 $58,100
90 $85,000
99 $151,800
Q. The percentage of families in Table 1 with incomes below $58,100 was about? Answered by Penny Nom. 





The circle through three points 
20040706 

From Jim: I am a student trying to solve math problem. I'd like to calculate the radius of the circle that exactly fits any three points. If the points are (X1,Y1), (X2,Y2), and (X3,Y3), what is the radius of the circle that contains those three points? Answered by Penny Nom. 





Percentage markup 
20040604 

From A parent: if our cost is 54.00 and their cost is 117.00 what is the percentage of mark up? Answered by Penny Nom. 





The center of a circle 
20040526 

From Wan: I am trying to find the radius of an arc. The only things i know about the arc is all referenced from the line of tangency to the arc. on both sides i have a differnt horizontal perpendicular distance to the point of tangency.
left side * right side (*=point of tangency). Then i have 2 difference vertical perpendicular distance of the end points to the line of tangency. I know it sounds very bad in text but this is all i know about the arc. Can you help me find the radius? Answered by Penny Nom. 





Percent difference 
20040410 

From A parent: For a school science project, my son Alex is taking measurements of plant growth at regular intervals. As part of the data, he must provide the maximum percent difference observed in the categories his team has identified.
So, for example he has six plants with four measurements each. (He has more, but I'll keep it simple) For the first plant he measured 2mm, 2.4mm, 2.9mm, and 3.2mm. For the 2nd, 3rd, and 4th plants, he has similar numbers. Is there a way to calculate the maximum percent difference between any two plants in his measurements during the project? Doing it for each combination would be tedious. Answered by Penny Nom. 





Differences in percentages 
20040406 

From Jose:
Question:
You have two groups:
Group A has 10 people and 2 are Chinese
Group B has 12 people and 3 are Chinese
In terms of percentages what is the difference in Chinese between the two groups? In other words which group has the biggest percentage of Chinese and why?
Answered by Penny Nom. 





425 cc's of a saline solution 
20040330 

From Julie: 425 cc's of a saline solution is equal to how much in lbsweight?? Answered by Harley Weston. 





Percentage difference 
20040328 

From Someone: what is the percentage difference between 157 to 251 Answered by Penny Nom. 





A fraction of a fraction as a percent 
20040318 

From Mary: I would like to know if you could help me with this problem? Could you
take me though the steps
to this math problems.
3 =(?)% x 3
 
16 4
the question states: Finding what is the percentage of a fractional
number and another fractional number. Answered by Penny Nom. 





GST and PST 
20040226 

From Mallory: I was absent on the day that my teacher taught the class how to find the GST and PST of items. I sort of understand that GST is 7% and PST is 7.5%, but our teacher said that we shouldn't combine the two to find the total amount... I'm really confused, so can you please help me?& Answered by Claude Tardif. 





The point where all the medians meet 
20040225 

From A student: What's the name of the point where all the medians meet? Answered by Penny Nom. 





Profit, markup and discount 
20040222 

From Kick: Using the calculation on your website, if I sell something for $885 and my cost is $296, I make $589 profit. How do I calculate the profit percent I made on that transaction?
Profit as a percentage of what it cost me?
Profit as a percentage of what I sold it for?
Answered by Penny Nom. 





Profit 
20040212 

From Mohamed: if i bought some thing with 100$ and the saller told me that his profit was 30% how can i know the actual price of the good Answered by Penny Nom. 





The incline of an exercise machine 
20040202 

From An exerciser: This is a question about incline percentage. On an exercise machine if the elevation is raised 3 and one half inches from a level position then what would be the incline percentage? Answered by Penny Nom. 





Ounces into cubic centimeters 
20040127 

From A student: how do you convert ounces into cubic centimeters? Ex: how does 12 oz. change into cc. Answered by Penny Nom. 





3/8 as a decimal 
20040113 

From A student: My Math Midterm is tommorow and I am stumped... how do you turn 1 and 3/8 into a decimal... I know the answer is 1.375 but I just copied down what the teacher wrote on the board.
Oh, and what are the three cases of percents? Answered by Penny Nom. 





Percent increase 
20031224 

From Frank: How does one figure the percent of increase or decrease in the cost of an item? Answered by Penny Nom. 





Adding percentages 
20031219 

From Paula:
How do you add percentages
e.g 90% + 80% + 60% + 54% + 25% = ?
Answered by Penny Nom. 





What percentage of 6 billion is 40 million? 
20031203 

From GiGi: What percentage of 6 billion is 40 million? Answered by Penny Nom. 





Markup, profit and margin 
20031124 

From Ali: I have question regarding Margins, Markups and Profit
Purchase price = $ 10.00
Margin or Markup ?? = 40 %
Therefore Selling Price = 10/0.6 = $ 16.67
Profit ? = (16.6710)/10 *100 = 66.67%
or is the profit = (16.6710)/16.67*100 = 40 %
Can you please clarify What is Margin, Markup and Profit Answered by Penny Nom. 





962 Sq. Ft. is what percent of 2656 Sq. Ft 
20031120 

From Jon: 962 Sq. Ft. is what percent of 2656 Sq. Ft Answered by Penny Nom. 





X bar 
20031104 

From mary: Remind me what this means:
_
X
Answered by Andrei Volodin. 





Knitting gauge and felting 
20031027 

From Sara:
I wish to create a pattern to knit an item that will then be felted, thus, shrink as a result. In order to determine the proper gauge to use in creating the item, I produced a gauge swatch, noted the original properties and then the postfelting properties. They are as follow: Before Felting: 20 stitches(width) x 20 rows(height)yielded: Gauge: 3.2 stitches(width) and 4 rows(height) = 1" Dimensions: 6.25"(width) x 5.25"(height) After Felting: 20 stitches(width) x 20 rows(height) Dimensions: 4"(width) x 3"(height) How do I calculate the percentage change in size to accurately determine the number of stitches and rows needed to produce the desired dimensions for the finished (felted) item? Answered by Penny Nom. 





Maine and Nevada 
20031024 

From Jimmy:
From 1989 to 1990, the population of Nevada increased b y 157,000, and that of Maine increased by 30,000. In 1990, the population of Nevada was 1,206,152, and that of Maine was 1,233,223. If the populations of the two states continue to increase at the same rates, when will the populations of Nevada and Maine be the same? Write a verbal model for this problem Write an equation for the model Solve the equation and answer the question. Answered by Penny Nom. 





Grooming the king's horses 
20030904 

From Janelle: the stable boy had 90% of the kings horses groomed.the next day the king acquired 25% more horses. Now there was 105 horses not prepared for the kings men. How many horses did the king originally have? Answered by Penny Nom. 





One percent of a billion 
20030904 

From Charles: What is one percent of one billion? Answered by Penny Nom. 





Why percentage? 
20030903 

From Vicky: My cousin aske me a question about the use of percentages and I'm not sure how to answer it. He wants to know why when there is a sale in a shop we use percentages and not fractions or decimals. Answered by Penny Nom. 





Percentage markup 
20030903 

From Virginia:
I am confused and hope you can help. I have looked high and low for a "chart" persay to go by when I am having to calculate markup percentages. Example if I have a List price of $1838.00 and my cost is $955.76 and I want to mark it up 30%. My colleage says it should be divided by .7 I don't understand how he arrives at .7 from 30 percent. Answered by Claude Tardif. 





Profit margin 
20030903 

From Chet:
My salesman calculates a customers profit margin by dividing what the customer paid by what he sells for, then subtracting that answer from 1. For example a customer sells a product for $15. He bought it for $10. 15/10=.66 Subtract that from 1 and get a profit % of 33% Here's my question: If I want to figure what a reseller will sell a product for if he wants 40% margin(by the technique above), what formula do I use? Let's say I want to sell a product for 8.50, and I want the reseller to make 40% Answered by Penny Nom. 





20% of 40% of 500 
20030831 

From A student: What is 20% of 40% of 500? Answered by Penny Nom. 





Percentage decrease in sales 
20030731 

From Linda: If I had sales in January of 2002 that were $42,493.73 and sales that were $37,281.59.Ý The difference is $5374.50.Ý What is the percentage of decrease in sales? Answered by Penny Nom. 





Preparing 100ml of a 30% alcohol solution 
20030713 

From Justin: My question is how do you prepare a 100ml of a 30% alcohol solution using 95% alcohol? Answered by Penny Nom. 





An onsale DVD player 
20030709 

From Kim: I have a DVD player with a regular selling price of $175 and percentage of discount is 10 percent. How to solve for discount amount and sale price? Also, when you figure out the sale price how to figure out commission amount when percentage of commission is 5 percent? Answered by Penny Nom. 





A 40% markup 
20030612 

From Nick: I am attempting to determine the Retail price of an item that costs me 11.00. Our company wants to sell it at a markup of 40%. I calculated this two ways, first the way I thought it should be done. Second, the way the calculator does it (and my accountant).
 Cost + Cost*(percentmarkup/100)= retail price 11.00 + 11.00*.40 = retail price 11.00 + 4.40 = 15.40 retail price
 Using the calculators Mark Up key the answer is 18.33. Or 7.33 more than the cost or 67%.
I am confused by this Mark Up key and how it calculates. I used a cost of $10.00 and marked it up 50%. I thought it should equal $15.00 but the calculator says $20.00? This seems to be 100% markup, yes? Can you explain the difference between the way I did it and the way a Business calculator does it? Answered by Penny Nom. 





$22,534.56 is what percent of $27,820.00? 
20030604 

From Minnie: $22,534.56 is what percent of $27,820.00? Answered by Penny Nom. 





20% of 40% of 500 
20030427 

From A student: What is 20% of 40% of 500 Answered by Penny Nom. 





______cm=0.048km 
20030227 

From Antonette: ______cm=0.048km Answered by Penny Nom. 





Percentage change in completion rate 
20030221 

From Remo: In the year 2000 300 out of a possible 600 completed a phone survey for a total of 50% completion rate. In the year 2001 20 out of 100 possible people completed the survey when it was redone. This is a completion rate of 20% To figure out the percentage change between the years can just use the difference between the percentage figures I already have? Or can I calculate it the same as you would for nonpercentage numbers. For example you gave an example here of a salary increase from $20 to $95 being an increase of 375%. Would I solve my problem the same way expect substituting my percentages (.5 and .2) in place of $20 and $95? Answered by Penny Nom. 





Deduct 60% from $150.00 
20030221 

From Mike: How do you get this answer? deduct 60% from $150.00 Answered by Penny Nom. 





Percentage decrease 
20030220 

From Hope: What number decreased by 33^{1}/_{3}% is 30? Answered by Penny Nom. 





Two investments 
20030207 

From A student: you have $7200 in principal and invest different sums @ 10% and 14%. You receive 920 at end of term. (one year)What amounts are invested at what rate? Answered by Penny Nom. 





A 15% markup 
20030207 

From Holly: what is 15% markup of 58.89? please show equation and why? which is correct? 58.89 divided by .85 or 58.89 times 1.15 Answered by Penny Nom. 





25% more 
20030116 

From Charlie: If I buy something for $10 and want to sell for 25% more, do I multiply by 1.25 or divide by .75? Or another way  why do I get $13.33 when dividing by .75 ? Answered by Penny Nom. 





Averages of Averages 
20021221 

From Amy: If in the month of October the % of Payments Received was 80.74% and in November it decreased to 69.36%. Can you take the 80.7469.36/69.36 to get the % of difference. In otherwords can you take the % of difference when the numbers you are comparing are %'s???? Can you also take an average of an average? For example, average number of payments received in October was 25.00%, average number of payments received November was 50.00%, and the average number of payments received in December was 15.00%. Do you average (25.00%, 50.00% and 15.00%) or do you have to go back to the numbers that calculated the averages. For example, October 25.00% was based on 25 payments being received out of a possible 100. So instead of taking the average of the averages, do you take the average payments and the average customers over the 3 months and calculate the average??? Answered by Harley Weston. 





20% of 40% of 500 
20021219 

From Richard: What is 20% of 40% of 500? Answered by Penny Nom. 





Tiffany plays first board for her middle school chess team 
20021202 

From Patty: Tiffany plays first board for her middle school chess team. Since she joined the team last year, she has won 27 of 51 tournament games. That's a winning percentage of about 53%. If Tiffany went on a winning streak, how many games would she need to win in a row to raise her winning percentage to 60% Use variables and equations to communicate the method you've used to solve the problem. Answered by Penny Nom. 





What percent is the same as three eighths? 
20021121 

From Katelin: What is the percent of three eight's? Answered by Penny Nom. 





A 40% markup? 
20021115 

From Amy: Please help? I own a basket and bouquet company, I have two retail stores with a markup of 40% on the price of the items I sale to them. I do not understand their conversion chart and I hope you can help me. A bouquet that I sale for $12.50 wholesale to the retail is marked up at a rate of 1.675 or (40%). I do not understand how the calculation of 1.675 is arrived at ... how is this 40%. I was told to multiply my wholesale price of $12.50 X 1.675 and I would arrive at the markup price of 40% the retailer would sale the item for. Answered by Penny Nom. 





A bus is 60% occupied 
20021109 

From Joe: A bus with a seating capacity of 60 people is 60% occupied. At the next stop onethird of the people get off the bus and 3 people get on the bus. The bus is now ___% occupied. Answered by Penny Nom. 





Cubic centimeters 
20021107 

From Rita: Was in emergency room yesterdayMD aspirated 40cc of fluid from my kneewhat does a "cc" equate to? Answered by Penny Nom. 





The percentage grade of that hill 
20021105 

From Cathy: If there is an 80ft climb over a kilometer(about 3280ft) what is the percentage grade of that hill? Answered by Penny Nom. 





The orthocentre 
20021017 

From Elsie:
 Find the orthocentre of the triangle with vertices at A(3,4), B(10, 3) and C(3,2).
 Find the distance of point X(3,8) from the line that passes through Y(2, 2) and Z (3, 2).
Answered by Chris Fisher. 





A sale price 
20021015 

From Chester: A jacket is on sale for 32% off. Find the original if the sale price is $89.00 Answered by Penny Nom. 





A million sheets of 30 cm long paper 
20020915 

From Jennifer: if you put a million sheets of 30 cm long paper end to end, how many kilometer long would the paper be from begining to end? Answered by Penny Nom. 





How do start from 2700 and get 35% back out? 
20020909 

From Dennis: 2000 x 0.35 = 700 + 2000 = 2700 How do start from 2700 and get 35% back out? If I have 2700, how do I figure out that 35% of 2000 is 700 and adding the two them together will get me 2700? Answered by Penny Nom. 





Sole Mates Shoes 
20020819 

From Robert: Sole Mates Shoes has expenses of $9,592 per month. What must the store's total income be if it is to make a profit of 12%? Answered by Penny Nom. 





Percentage 
20020720 

From Sally: If 20% of 100 is 80, then why is the percentage difference between 80 and 100 25%. Answered by Penny Nom. 





Two cubes 
20020712 

From Vanessa: The edges of a cube are 50% as long as the edges of another cube. What percent of the volume of the larger cube is the volume of the smaller cube? Answered by Peny Nom. 





A box that holds 22.4 liters 
20020707 

From Jon: How do I find the measurements required to make a box that holds 22.4 liters of something? Answered by Penny Nom. 





Ounces and cubic centimeters 
20020530 

From Martin: How many ounces are in 600cc of liquid? Answered by Penny Nom. 





Conversion of units 
20020429 

From Matt: I am having trouble finding a workable equation for the following problem, particularly the conversion of two systems of measurement. The question states that there are 27 grams of salt in a kilogram of seawater. And it asks how many tonnes (1 tonne = 1000 kilograms) of salt are there in one cubic kilometer of ocean. It also says that the density of seawater is 1.1 g/cm3. What is the equation and how do I figure out how many kilograms there are in a cubic kilometre? Answered by Harley Weston. 





How much of that total is G.S.T? 
20020424 

From Darlene: If I have $1700.00 how much of that total is G.S.T? not 1700.00 + gst ____ + _____ gst = 1700.00 Answered by Patrick Maidorn. 





Ratios 
20020417 

From A student:
 Medication is givin at 1cc. per 20 pounds of body weight. A dog weighs 16 pounds how many ccs. of medication does the dog get?
 Dr. Lee wants you to prepare 1000 ml. of a 10% dextrose solution in lactaed ringers for diuresis or a patient you have a 1 L bag of lactated ringers and 500 ml of 50% dextrose for injection. How would you prpare the solution?
Answered by Penny Nom. 





Calculate profit 
20020413 

From Allison: If I sell something for $75; and my cost is $40, I make $35 profit. How do I calculate the profit percent I made on that transaction? Answered by Penny Nom. 





3 5/8 and 2 1/4 
20020313 

From Shirley: 3 5/8 and 2 1/4 what is the percentage of 2 1/4 to 3 5/8. Answered by Penny Nom. 





My 1978 Chevy has a 350 cubic inch engine 
20020311 

From Sharon: If my 1978 Chevy has a 350 cubic inch engine, about what size engine would that be in liter? Answered by Penny Nom. 





Percentage difference 
20020308 

From Tedd: Can you give me the formulas for calculating percentage differences between two numbers? For example: if the first number is 10 and the second number is 15, then the second number is 50% larger than the first number. However, the formula to calculate that percentage won't work if the first number is greater than the second number as in the following example: The first number is 15 and the second number is 10, with the second number being 33.3% less than the first number. Or maybe I'm mistaken and the same formula will work in both situations. Answered by Penny Nom. 





Percentage 
20020303 

From Nathan: I have two questions:  25% of what number is 195?
 42 is what percent of 112?
Answered by Penny Nom. 





350 students took the math A exam 
20020222 

From Jim: at a high school 350 students took the math A exam. 82% passed the test. 40 students that failed the exam in june, took the exam in August. 70% of this group passed the August test. How many of the original 350 students have passed the exam before september? Answered by Paul Betts and Penny Nom. 





36 is 20% less than _____? 
20020213 

From Lori: 36 is 20% less than _____? Answered by Walter Whiteley. 





Number conversions and averages 
20020203 

From A student: A table has the measurements of 1.6m by 2m, how much material is needed to cover table? I converted to cm then multiplied but got an answer of 32000cm ,so I divide by 100 to get to metres  the answer was 320 which I know is wrong  please explain!! Also I need to explain in my own words what an 'average' is and I am struggling. Answered by Penny Nom. 





50% 
20020115 

From Lakarrieh: 4 is 50% of what number? Answered by Penny Nom. 





8% tax 
20020115 

From A student: total price including tax is $13359.60 8% tax was paid What is the dollar amount of tax paid? Answered by Penny Nom. 





Glasses of wine 
20020110 

From A student:
6 glasses of regular wine (12% alcohol) would equal aprox.? glasses of wine (8% alcohol)
a)9.33 b)8.5 c)7.75 d)9.0 Answered by Peny Nom. 





Nickles, dimes, quarters and fifty cent pieces 
20020108 

From A parent: The total for all coins counted is $4,564.50 The last coin added to the pile is a 50 cent piece There are 8 times as many 50 cent pieces as there are quarters There are 6 times as many dimes as nickles How many of each are there? Answered by Penny Nom. 





All of the Christmas trees are fiftyfive percent off. 
20020108 

From A teacher: All of the Christmas trees are fiftyfive percent off. Madison bought a tree and paid $103.50. Assuming no tax, what was the original price of the tree? Answered by Penny Nom. 





Fractions to decimals and percents 
20011231 

From A student: 2/5 , 4/8 , 4/10 , 3/5 , 6/8 , 7/7 (what is the decimal and percent for each)
1/5 , 1/10 , 1/8 , 1/1 (what is the decimal for each)
100 PERCENT, WHAT IS THE DECIMAL?
The ratio of boys to girls in a class is 1:4. What percent of the class are girls? Answered by Penny Nom. 





A 7% increase 
20011212 

From Lorraine: how do you calculate an old salary if the only information you have is current salary and the percentage increase received. For example if I make $15.86 an hour and I received a 7% increase, how much did I used to make? Answered by Penny Nom. 





83.3% 
20011203 

From Ellie: Please explain how a percentage like 83.3% is changed into a fractions. The answer given is 5/6 and I changed 83.3% to a regular decimal of .833, which would be 833/1000. How do they get 5/6 from that? HELP Answered by Chris Fisher. 





Original value 
20011127 

From Lisa: We are trying to find the original value of a product marked up by 10%. What is the formula to determine the original value? Answered by Penny Nom. 





15 % of 24.95 
20011101 

From Puzzled: How do I take 15% of a number I have forgotten Answered by Penny Nom. 





Metric units 
20011025 

From Kelly: i am helping my kids out with school work and don't remember meters,centimeters decimeters and all those. We have to change meters into cm.....and so on..........is there a place on the web to look for some kind of help in these questions Answered by Penny Nom. 





A $10,00 prize 
20011023 

From Michelle: The grand prize for winning a contest is $10,000. After 28 percent of the prize is deducted for taxes, the winner receives the balance of the prize in annual payouts of equal amounts over a 3year period. How many dollars will the prizewinner receive each year of the 3 years?(Disregard the $ sign when gridding your answer.) Answered by Penny Nom. 





A goat in a square pen 
20011019 

From Brad: A goat is tied to one corner of a square pen 20 ft. on a side.  If the goat's tether is 10 ft. long, what percentage of the grass in the pen can the goat reach?
 What should the length of the tether be so that the goat can reach half of the grass?
Answered by Penny Nom. 





414 is what percent of 5,624? 
20011018 

From A student: 414 is what percent of 5,624? Answered by Penny Nom. 





Column doesn't add up to 100% 
20011017 

From A student: why don't some tables I'm studying in a column add up to 100%? Example: N=338, but responses to questions asked in survey I'm studying equal of 24.3, 9.8, 43.8, DON'T add up to 100%. I'm assuming that some people surveyed out of the 338 didn't bother responding, but is there another problem related to proportion or ratio being used, but improperly labeled on graph?. Note at bottom of table says: "number in parenthesis are numbers of cases" and 338 was in parentheses. I'm lost. Answered by Penny Nom. 





Percentage in our daily lives 
20011008 

From Natasha: What are the uses of percentage in our daily lives? Answered by Leeanne Boehm. 





What percent of the sports drink was drunk by the women? 
20010922 

From Rachel:
 The male track and field athletes drank 153 gallons of sports drink at the meet.
 the track and field athletes drank 255 gallons of sports drink.
 The women track and field athletes drank 102 gallons.
problem: What percent of the sports was drunk by the women? Answered by Penny Nom. 





Investing $5,000 
20010709 

From A student: A principal amount of $5,000 was invested in a savings account for 5 years.The interest earned was $500.Use the simple interest formula to find the annual rate of interest. Answered by Penny Nom. 





Buying a car 
20010606 

From Steph: How do you figure a percent. Say you want to buy a car listed for 21,500. You tell the dealer you want to pay 19,600. The dealer says they'll sell it to you for 20,450. how do you figure what the percent is between 20,450 & 19,600? Answered by Penny Nom. 





A geometry proof 
20010418 

From Melissa: Extend the bisectors of angle A, angle B, and angle C of triangle ABC to meet the circumcircle at points X, Y, and Z respectively. Show that I is the orthocenter of triangle XYZ. Answered by Chris Fisher. 





Percents 
20010404 

From Cathy: This isvery embarassing but since math and specifically percentages was my worst subject in school here goes. If I have a figure such as 425 and that amount represents 10% of the total amount how do I find out what the total amount is? Answered by Penny Nom. 





128 percent too high 
20010404 

From A student: when pilgrims counted noses, they got a count that was 128 percent too high. if they counted 9120 noses, what was the correct count? Answered by Claude tardif. 





66:1 
20010326 

From A student: I need to know how to convert the ratio 66:1 to a percentage. I can not find an answer any where online when the second number is a 1. Answered by Penny Nom. 





Two problems 
20010323 

From James: Casey is a finanical consultant for ABC finance. She earns $456.21 weekly. Her annual group medical coverage costs $1942, of which ABC pays 65%. How much is deducted weekly for medical coverage? and: Eleanor demonstrates microwaves at the national home show. She is paid $7 for each of the first 7 demonstrations and $11 for each demonstration after 7. What is her commission for a day if she makes 12 demonstrations? Answered by Penny Nom. 





Converting percents to decimals 
20010301 

From Elliot: My math question is about Converting Percents to Decimals, here it is Convert 37 1/2 = ? Answered by Penny Nom. 





Solve for two variables 
20010225 

From A student: How do I solve for %1 and %2 in the following formula when T1, T2 and T3 are known? %1 and %2 are ratios of the same element, therefore %1 + %2 = 100%
(%1 x T1) + (%2 x T2) = T3 Answered by Penny Nom. 





Winning percentages 
20010221 

From Mike: TEAM A WINS 55% OF GAMES PLAYED TEAM B WINS 40% OF GAMES PLAYED AGAINST THE SAME OPPONENTS WHAT WINNING PERCENTAGE SHOULD BE EXPECTED WHEN TEAM A PLAYS TEAM B (NEUTRAL SITE)? Answered by Harley Weston. 





Working on commission 
20010217 

From Jay: Ron the realtor is offered a job directly out of realestate school. He has a choice as to which way he will receive his salary the first year.
Salary Plan 1: He would receive a base pay of $2000 per month plus a 3% commission on each sale.
Salary Plan 2: No base pay but a 6% commission on each sale.
Write an equation to determine when it would be better to switch from the first plan to the second plan. Give a one or twosentence answer that includes Ron`s sales in a month. Round to the nearest dollar, if necessary. Answered by Leeanne Boehm and Penny Nom. 





Percentage increase 
20010217 

From Bob: If sales for jan 2001 are 154 vs 105 for 2000  the increase total presented to my office is +46%  how does that compute. Please give me the equation. Answered by Penny Nom. 





percent 
20010211 

From A student: what is 1.5% of 20386.01? Answered by Penny Nom. 





25% mark up 
20010120 

From Vivian: If it costs me $100.00 to manufacture an item and I want to sell it at a 25% mark up, why do I get different answers when I perform the operation the following ways? 1. $100.00 x 25% = $25.00 $100.00 + $25.00  $125.00 2. $100.00 / .75 = $133.334 Should these two not be equal? Answered by Penny Nom and Claude Tardif. 





64.5% profit 
20010112 

From Ethel: IF I PURCHASE AN ITEM FOR $2.00 AND I WANT TO RESELL IT WITH A MARGIN OF GROSS PROFIT OF 64.5% WHAT FORMULA DO I USE TO ARRIVE AT THAT RESELL FIGURE? Answered by Penny Nom. 





30% of 80 
20010103 

From Denise: Could you please tell me what 30% of 80 is? Answered by Penny Nom. 





Calculating the tax 
20001222 

From A grocer: I have a small grocery store. I have a bag of money containing $325. This represents the mornings receipts and a tax of 5.75% is included in the total. How can I separate the gross take from the tax take so that I'll know how much is mine and how much is the state's? Answered by Penny Nom. 





Calculating your grade 
20001204 

From Jack: I got an 80 on test 1 and a 65 on test 2. The first test is worth 35% of our total grade and the second is worth 40%. What is my grade right now? Answered by Penny Nom. 





Two problems 
20001102 

From Michael: Question: I mistakenly divided a number by 5 when I should have multiplied by 5. FInd my percent of error. Next Question: How many odd numbers are between 10 and 9,999 from the digits 09 if each digit is used once per number. Answered by Penny Nom. 





Central Limit Theorem and Law of Large Numbers 
20000626 

From Jonathan Yam: The Central limit Theorem states that when sample size tends to infinity, the sample mean will be normally distributed. The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Is the two statements contradictory? Answered by Paul Betts and Harley Weston. 





A percentage question 
20000615 

From Michael Smith: I need a percentage for a business plan. How much is onepercent of twohundred and thirtynine million? Answered by Penny Nom. 





Percents with mixed numbers 
20000604 

From Julie: How would you find the percent of 33 1/3 out of 90 by using fraction settup!I can do whole numbers but not mixed. This is how to do whole numbers say it was 33 of 90 33 x 90 = 2970 100 x 1 = 100 2970 divided by 100 the answer is 29.7 so how do you do it with a mixed number Answered by Penny Nom. 





A centroid problem 
20000602 

From Kerstin: An isoceles triangle has sides measuring 13 cm, 13 cm, and 10 cm. Find the distance from the centroid to the vertex of a base angle. Answered by Harley Weston. 





Adjacent Angles 
20000521 

From Katherine Keys: Can a straight angle be an adjacent angle to another angle? Answered by Chris Fisher. 





What percent is one fraction of another fraction? 
20000429 

From A student in grade 4: What is the method for finding out what percent one fraction is of another fraction. For instance 4/5 is what percent of 1/9? Answered by Penny Nom. 





The weight of a watermelon 
20000425 

From Lori Speir: If I have a 100 pound watermelon and it is 99% water. If it sits out in the sun all day and is now only 98% water what does it weigh now? Answered by Penny Nom. 





42% of 70 
20000407 

From Nikkie: What is 42% of 70? Answered by Penny Nom. 





Wholesale price 
20000402 

From Lynda Bintz: If a product is priced at $4.99 and is marked up 40% how do I calculate the wholesale price? Answered by Penny Nom. 





The world of percentage. Price tags everywhere 
20000327 

From Lydia: I know there is a formula to be utilized for finding the percentage of a number, like most math. You just simply need to remember the formula for finding the number. Please put me on the path. How does one figure out 10% or 15% of a total number asked? Say... 120 Reverse: 15 is what percent of 120, I know the answer should be the same but how is the formula applied? Answered by Harley Weston. 





Increasing the weight 
20000323 

From Lee Millard: A weight of dimension a, b is to have its weight increased by w% by bolting plates of the same material along the top and one side (but not at both ends). The top plate and side plate have the thickness, x. Find the thickness of the plates for a given weight increase of w%. Answered by Penny Nom. 





1000 percent 
20000317 

From Matt Stevenson: If one invests $4000.00 and makes 1000% on the investment would he/she have $40,000.00? Could one figure this by: $4000.00 * 10.0 = $40,000.00? So is 10 times a number the same as 1000%? Would 100 times a number be the same as 10,000%? Answered by Penny Nom. 





Percentages with decimals 
20000206 

From Andrew Connell: I need help with these math questions: How does one convert a percent to a fraction when the percent has a decimal (example86.5%)? Answered by Penny Nom. 





Percent of improvement 
20000130 

From Steve Quigg:
In a 1998 survey, 21% polled responded favorably to a question. In 1999, 31% responded favorably. What is the percent of improvement? Answered by Harley Weston. 





Counting guppies 
20000126 

From Sarah Albaugh: Out of 200 fish, 99% are guppies. How many guppies must be removed to have 98% of the remaining fish to be guppies? Answered by Penny Nom. 





Percentages 
20000109 

From Nancy:
What is the best way for a parent to explain how one calculates percentages? ie. Commission is $54268. Total Sales $403114.00 from that number how do you calculate the percentage of sales of various expenses. Answered by Penny Nom. 





Percentage change 
19991208 

From Michael Weinberg: I am the Laboratory information system supervisor in a hospital. Our computer system calculates the change of specific results to monitor a patient's status. But there is a problem with the calculation in the base code of the program. If one day the patient has a Blood count of 100 (P for Previous) then the next day the Blood count is 75 (C for current), the computer should calculate the change as 25% using the calculation PC/P= D (D for Delta) and then check for positive or negative by the equation If P>C then D*1 or If P The program is calculating using the equation: ((P/C)1)*100 in the above situation this would calculate the Delta as 33.33333% Referenced in a Laboratory manual published before computers were used to calculate the delta changes. . . . Answered by Penny Nom. 





Percent 
19991116 

From Elaine Edwards: Can you please tell me what is 75% of $495.00? Answered by Penny Nom. 





Percentage increase 
19991003 

From Ann Allen: I am a a student in the 12th grade. I need to know how to calclulate the following: A percentage increase from 2.0% to 9.5% is what percentage? Answered by Harley Weston. 





Percentages 
19990923 

From Pete Cornejo: Hello, I was wondering if you could help me with a question? Yesterday my daughter came to me and asked if I could help her solve these three problems.  18 percent of 25 is what?
 18 percent is what of 25?
 25 is what percent of 18?
Answered by Walter Whiteley. 





Predictions 
19990922 

From Joesph Dana: How do u find the results of an unbiased sample of 100 students that are shown on the table. For example the school has a total of 1,150 students prdict how many students would chose cereal(46) pancakes(15) eggs(20) and sandwich(19) Answered by Haeley Weston. 





Fractions, percents and decimals 
19990919 

From Sue Farr: My son is in 5th grade, and I can't seem to find any papers that have a simple explanation of how to convert decimals into fractions, percents into decimals, and viceversa. Answered by Harley Weston. 





How many went to the game? 
19990909 

From Lisa Schmidt: If 3/4 more students went to the game than actually did go to the game, 25% of all students in the entire school would have gone. What fraction of students in the entire school went to the game? Answered by Harley Weston. 





RePercentaging 
19990515 

From Doug Guion: My mind has gone blank. I have a series of percentages which have been establised by the same base number. I need to remove one of the percentages (13%) leaving me with 87%. I need to arifically inflate the remaining percentages to total 100%. Any help would be appreciated. Answered by Penny Nom. 





Ounces and milliliters 
19990417 

From Tony Rizzi: I'm mixing a formula of: 48 oz distilled water. 15 grams of Hydroxy Ethyl Cellulose GR (powder) 30 grams of Hydroxy Ethyl Cellulose MR (powder) 200 grams of Barium Sulfate (powder) 1000 grams of Calcium Hydroxide (powder) After mixing, I need to estimate the amount of each ingredient that fits in a 3ml syringe. And how many syringes I can fill? Answered by Harley weston. 





Converting Metric Measurements 
19990408 

From Rick: Do you have any simple explanations for converting Metric measurements to other Metric measurements?? What helpful hints do you also have for a 5th Grader... Answered by Penny Nom. 





Percentages 
19990316 

From Beth Barton: If I have two figures and want to know the difference between them, in Percentage, how do I proceed with a calculation? Example: 67,800  56,000 = 11,800 What percentage does this difference represent? Answered by Jack LeSage. 





Metric Conversion 
19990307 

From TDestra: Please help to answer this question: Is a cubic centimeter equivalent to milligrams or milliliters, and how many? Also, is it a liquid measure? Answered by Penny Nom. 





Converting mm's to inches 
19990222 

From Paul White: It has been a long time since high school and I do not remember how to convert mm to inches. Could you please tell me what this would convert to in inches? 210 X 254 mm. Answered by Chris Fisher. 





Percentage markup 
19981128 

From John Coffey: My 11th grade daughter asked me how to calculate retail mark up percentages, I would appreciate any help with this question. Answered by Penny Nom. 





Two sides and a bisectrix. 
19981111 

From Victor Grinshtein: I am looking for someone who can tell me how to construct a triangle by 2 sides and a bisectrix using a compass and a ruler. Answered by Chris Fisher. 





Centimetres 
19981111 

From Vicky Caldwell: I work in Carpet Manufacturing and I need to know how to figure the calculation for a roll of carpet in centimeters. For example: a 12 x 100 roll of carpet equals 133.34 square yards, which is 100 linear ft. and 1,200 square foot. Can you please tell me how I would figure to get CENTIMETERS??????? Answered by Jack LeSage. 





Nickles on the Highway 
19980922 

From Ronnie Mac Donald: How many nickels would it take to cover 226km of highway,each nickel is 2cm in diameter? Answered by Penny Nom. 





Volumes 
19980829 

From Lorraine Wall: Consider the region in the first quadrant bounded by the x and y axes, the vertical line x=3 and the curve y = 1 / (x squared + 3). Determine the volume of the solid by rotating this region about the xaxis. Now that is the first part. I then have to find the coordinates of the centroid of the solid by rotating this region about the xaxis. Thanks. Lorraine Answered by Harley Weston. 





Percentages 
19980710 

From Adam: Hi, I would like to know the basics of percentages. It is all rather confusing to me.I have excelled in math but want to be ready next year for more advanced math. What is Percentages? Answered by Penny Nom. 





Percentage Question 
19980518 

From Eddie Knox: Example: If I have a recipe calling for 16 ounces of 4% vinegar (vinegar which has been diluted with water to a strength of 4%), and all I have on hand is 16 ounces of 5% vinegar, how much water should I add to decrease the strength to 4%, before measuring the 16 ounces to be used. I'll appreciate any insight and help. Thank you so much! Answered by Harley Weston. 





A Monte Carlo Procedure 
19970423 

From Donna Hall: A irregularly shaped object of unknown area A is located in the unit square 0<=x<=1. Consider a random point uniformly distributed over the square. Let X = 1 if the point lies inside the object and X = 0 otherwise. Show that E(X) = A. How could A be estimated from a sequence of n independent points uniformly distributed over the square? How would you use the central limit theorem to gauge the probable size of the error of the estimate. Answered by Harley Weston. 





The Central Limit Theorem 
19970421 

From Donna Hall: A skeptic gives the following argument to show that there must be a flaw in the central limit theorem: We know that the sum of independent Poisson random variables follows a Poisson distribution with aparameter that is the sum of the parameters of the summands. In particular, if n independentPoisson random variables, each with parameter 1/n, are summed, the sum has a Poisson distributionwith parameter 1. The central limit theoren says the sum tends to a normal distribution, butPoisson distribution with parameter 1 is not normal. What do you think of this argument? Answered by Neal Madras. 





The normal distribution. 
19970321 

From Donna D.Hall: I am looking for a proof for the normal distribution. I suppose "proof" was not a good choice of words. What I am looking for is a way to "derive" the normal distribution in simple terms so that the most average teenager can see the logic. Can you help me? Answered by Harley Weston. 





Pourcentage 
20080602 

From ferdjoukh: un article passe de 12 euros à 10 euros.
quel est le pourcentage de réduction?
et quelle est l'opération à faire pour obtenir le résultat?
merci Answered by Antoine Letarte. 





Le pourcentage en +ou en que représent la diférence de 2 nombres 
20070429 

From Jean: pouvez vous me donner la formule pour trouver
le pourcentage en +ou en
que représent la diférence de 2 nombres ex: 8594 et 7634 Answered by Claude Tardif. 





le prix de départ 
20060910 

From un élève: Une jupe coûte 36 euros après une démarque de 20% quel est le prix de départ moi j'ai trouvé 45 euros mais je n'ai pas la formule de calcul exacte Answered by Claude Tardif. 





100 centimètres 
20021113 

From Un élève: je voudrais savoir la contenance de 100 centimètres cube en litre? Answered by Diane Hanson. 

