# 9 is what percent of 30?

Dec 26, 2016

9 is 30% of 30.

#### Explanation:

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 $\frac{p}{100}$.

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:

$9 = \frac{p}{100} \times 30$

$\frac{100}{30} \times 9 = \frac{100}{30} \times \frac{p}{100} \times 30$

$\frac{900}{30} = \frac{\textcolor{red}{\cancel{100}}}{\textcolor{b l u e}{\cancel{30}}} \times \frac{p}{\textcolor{red}{\cancel{100}}} \times \textcolor{b l u e}{\cancel{30}}$

$30 = p$ or $p = 30$