# 40% of what number is 52?

Nov 17, 2016

40% of 130 is 52.

#### Explanation:

Let's call the number we are looking for $n$. We can then write this question as:

40% of $n$ is 52.

Percent or % means "out of 100" or "per 100" so 40% can be rewritten as $\frac{40}{100}$.

The term "of" when working with percents means to multiply or times.

The term "is" in mathematics means equal to or "".

Therefore we can write this problem as below and solve for $n$ while keeping the equation balanced:

$\frac{40}{100} \cdot n = 52$

$\frac{100}{40} \cdot \frac{40}{100} \cdot n = \frac{100}{40} \cdot 52$

$1 \cdot n = \frac{5200}{40}$

$n = 130$