# Question 31c61

Apr 12, 2017

See the entire solution process below:

#### 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 $\frac{p}{100}$.

So we can write and solve for $p$:

$\frac{p}{100} = \frac{36}{90}$

$\textcolor{red}{100} \cdot \frac{p}{100} = \textcolor{red}{100} \cdot \frac{36}{90}$

$\cancel{\textcolor{red}{100}} \cdot \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \frac{3600}{90}$

$p = 40$

color(red)(40%)# of 90 is 36