120 is what percent of 40?

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Answer 1 · 2016-12-09T21:00:40

120 is 300% of 40.

Let's call the percent we are looking for $x$ :

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

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

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

$120 = x/100 xx 40$

$100/40 xx 120 = 100/40 xx x/100 xx 40$

$12000/40 = cancel(100)/cancel(40) xx x/cancel(100) xx cancel(40)$

$300 = x$