# 40% of 75 is what number?

Jan 31, 2017

$30$

#### Explanation:

40% is the same as $\frac{40}{100}$, so taking the percent amount as $x$ we write:

$x = 75 \times \frac{40}{100}$

Dividing the numerator and the denominator by $25$, we get:

$x = 3 \cancel{75} \times \frac{40}{4 \cancel{100}}$

$x = 3 \times \frac{40}{4}$

Dividing the numerator and the denominator by $4$, we get:

$x = 3 \times \frac{10 \cancel{40}}{1 \cancel{4}}$

$x = 3 \times 10$

$x = 30$