What percent of 120 is 66?

Jan 26, 2017

55% of 120 is 66

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:

$\frac{p}{100} \times 120 = 66$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{120}} \times \frac{p}{100} \times 120 = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{120}} \times 66$

$\frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{120}}} \times \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{120}}} = \frac{6600}{\textcolor{b l u e}{120}}$

$p = \frac{6600}{120}$

$p = 55$