# What percent of 130 is 91?

Dec 7, 2016

70% of 130 = 91

#### Explanation:

Let's call the percent we are looking for n%. "Percent" or "%" means "out of 100" or "per 100", Therefore n% can be written as $\frac{n}{100}$.

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:

$\frac{n}{100} \times 130 = 91$

$\frac{n \times 130}{100} = 91$

$\frac{100}{130} \times \frac{n \times 130}{100} = \frac{100}{130} \times 91$

$\frac{\cancel{100}}{\cancel{130}} \times \frac{n \times \cancel{130}}{\cancel{100}} = \frac{9100}{130}$

$n = \frac{9100}{130}$

$n = 70$