# 120 is 30% of what number?

Nov 9, 2016

The number is $400$

#### Explanation:

Let $x$ be "what number". We can then write this problem as:

30% of $x = 120$

or

$\frac{30}{100} x = 120$

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

$\frac{100}{30} \frac{30}{100} x = 120 \frac{100}{30}$

$x = \frac{12000}{30}$

$x = 400$