







Working with percentages 
20180826 

From Kenneth: 16 is 4% of what amount?
The answer can be determined by the following unusual manner:
4% = 16
1% = 4
100% = 400
Can the following solutions for the following be determined by using the
same type of calculation?
16 is ?% of 400
? is 4% of 400
I thank you for your reply. 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. 





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. 





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. 





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. 





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. 





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. 





Solve for x 
20131012 

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





What percent is 50 of 4.5 billion? 
20130808 

From Bobby: What percent is 50 from 4.5 billion? 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. 





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. 





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. 





$1579 is 20% of what number? 
20100722 

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





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. 





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. 





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. 





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. 





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. 





Fractions, ratios and percentages all mixed together 
20070829 

From Charon: Example: x : 1/4% :: 9 3/5 : 1/200 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. 





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. 





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. 





What's the difference between percentages and points? 
20060421 

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





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. 





Percentages in our daily life 
20051223 

From Naina: what are the uses of percentages in our daily life 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. 





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. 





Adding percentages 
20031219 

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





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. 





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. 





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. 





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. 





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. 





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. 





Percent 
19991116 

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





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. 





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. 





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. 

