# Juliet sold a house for $112,000. What percent commission did she receive if she earned$6,720?

Dec 8, 2016

#### Explanation:

We can rewrite this question as:

$6,720 is what percent of$112,000?

Let's let the percentage we are looking for be represent by $p$.

"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:

$6720 = \frac{p}{100} \times 112000$

$\frac{100}{112000} \times 6720 = \frac{100}{112000} \times \frac{p}{100} \times 112000$

$\frac{672000}{112000} = \frac{\cancel{100}}{\cancel{112000}} \times \frac{p}{\cancel{100}} \times \cancel{112000}$

$p = 6$