16 is what percent of 64?

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Answer 1 · 2016-12-06T17:13:10

16 is 25% of 64.

Let's call the number 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 $n$ while keeping the equation balanced:

$16 = x/100 xx 64$

$16 = (64x)/100$

$16 100/64 = 100/64 (64x)/100$

$1600/64 = 100/64 (64x)/100$

$25 = cancel(100)/cancel(64) (cancel(64)x)/cancel(100)$

$x = 25$