9 is what percent of 30?

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Answer 1 · 2016-12-26T03:53:24

9 is 30% of 30.

Let's 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:

$9 = p/100 xx 30$

$100/30 xx 9 = 100/30 xx p/100 xx 30$

$900/30 = color(red)(cancel(100))/color(blue)(cancel(30)) xx p/color(red)(cancel(100)) xx color(blue)(cancel(30))$

$30 = p$ or $p = 30$