40 is what percent of 32?

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40 is what percent of 32?

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Answer 1 · 2017-03-01T23:14:46

40 is $color(red)(125%)$ of 32

Explanation:

First, lets call the percent we are looking for "p".

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as $p/100$ .

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for $p$ while keeping the equation balanced:

$40 = p/100 xx 32$

$color(red)(100)/color(blue)(32) xx 40 = color(red)(100)/color(blue)(32) xx p/100 xx 32$

$4000/color(blue)(32) = cancel(color(red)(100))/cancel(color(blue)(32)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(32)))$

$125 = p$

$p = 125$

Answer 2 · 2017-03-01T23:16:11