# What percent of 125 is 2?

Dec 26, 2016

1.6% of 125 is 2

#### 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:

$\frac{p}{100} \times 125 = 2$

$\frac{100}{125} \times \frac{p}{100} \times 125 = \frac{100}{125} \times 2$

$\frac{\textcolor{red}{\cancel{100}}}{\textcolor{b l u e}{\cancel{125}}} \times \frac{p}{\textcolor{red}{\cancel{100}}} \times \textcolor{b l u e}{\cancel{125}} = \frac{200}{125}$

$p = 1.6$