# What percent of 18 is 27?

Dec 26, 2016

27 is 150% of 18

#### Explanation:

Let's call the percentage 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 $n$ while keeping the equation balanced:

$\frac{p}{100} \times 18 = 27$

$\frac{100}{18} \times \frac{p}{100} \times 18 = \frac{100}{18} \times 27$

$\frac{\cancel{\textcolor{b l u e}{100}}}{\cancel{\textcolor{red}{18}}} \times \frac{p}{\cancel{\textcolor{b l u e}{100}}} \times \cancel{\textcolor{red}{18}} = \frac{2700}{18}$

$p = \frac{2700}{18}$

$p = 150$