# What percent of 153 is 9.18?

Feb 5, 2017

9.18 is 6% of 153

#### Explanation:

First, lets 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:

$\frac{p}{100} \times 153 = 9.18$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{153}} \times \frac{p}{100} \times 153 = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{153}} \times 9.18$

$\frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{153}}} \times \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{153}}} = \frac{918}{\textcolor{b l u e}{153}}$

$p = 6$