# What percent is 9 out of 20?

Feb 28, 2017

9 out of 20 = 45%

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as $\frac{x}{100}$.

We can write and solve this as:

$\frac{x}{100} = \frac{9}{20}$

$\textcolor{red}{100} \times \frac{x}{100} = \textcolor{red}{100} \times \frac{9}{20}$

$\cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \cancel{\textcolor{red}{100}} 5 \times \frac{9}{\textcolor{red}{\cancel{\textcolor{b l a c k}{20}}}}$

$x = 5 \times 9$

$x = 45$