# 22% of what number is 33?

Nov 17, 2016

22% of 150 = 33.

#### Explanation:

First, let's call "what number" $n$. And let's change is to "=" which is what it means.

We can then write: 22% of n = 33

Also, percent or % means "per 100" or "out of 100" so we can change 22% to 22/100. And when dealing with percents, "0f" means the same as multiply or times. So we can change the problem as follows and solve for $n$ while keeping the equation balanced:

$\frac{22}{100} \times n = 33$

$\frac{100}{22} \times \frac{22}{100} \times n = \frac{100}{22} \times 33$

$n = \frac{3300}{22}$

$n = 150$