# 70 is what percent of 1000?

Dec 29, 2016

70 is 7% of 1000.

#### Explanation:

First, 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 $\frac{p}{100}$.

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:

$70 = \frac{p}{100} \times 1000$

$70 = p \times \frac{1000}{100}$

$70 = p \times 10$

$\frac{70}{10} = \frac{p \times 10}{10}$

$7 = p$