# 33% of what number is 66?

Let $x$ be that number hence

33%*x=66

$\frac{33}{100} \cdot x = 66$

$\frac{x}{100} = \frac{66}{33}$

$\frac{x}{100} = 2$

$x = 200$

Nov 16, 2016

33% of 200 is 66.

#### Explanation:

This can be written as "33% of x is 66"

"Percent" or "%" means "out of 100" or "per 100", Therefore 33% can be written as $\frac{33}{100}$ and this problem can be restated as:

$\frac{33}{100} o f x i s 66$

When dealing with percents the word "of" means "times" or "to multiply". So we can again restate this as:

$\frac{33}{100} \times x = 66$

Solving for $x$ while keeping the equation balanced gives:

$\frac{100}{33} \times \frac{33}{100} \times x = \frac{100}{33} \times 66$

$1 \times x = \frac{6600}{33}$

$x = 200$