We have two responses for you.
you need to be careful and try to understand what 'percent of' means rather than look for a formula in each and every case.
'Percent of' means 'one-hundredths of'. Thus
I'm guessing that's what you mean by 'extracting' 17.5%; the language is vague because when I first read it I wondered if you meant what was left when you take 17.5 of it away and wasn't sure until I noticed
Hi Richard. I think you meant to write 5.714 is related to 17.5%
Here's what is happening:
So with 14% you do the same thing. But the question becomes this:
14 / 100 = 1 / f
multiply both sides by f and we get this:
f x ( 14 / 100 ) = 1
now multiply both sides by the reciprocal of what is in parentheses:
f x (14 / 100) x (100 / 14) = 1 x (100 / 14)
f = 100 / 14
in my calculator that means
f = 7.143
In fact, you can convert any percentage to this decimal method by
So 379.28 x 14% = 379.28 / 7.143.
Stephen La Rocque.>
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.