# What is 42% of 150?

May 10, 2018

63

#### Explanation:

We can rewrite this problem as an expression.

$x = 150 \cdot 0.42$

Now just multiply to find x

$x = 63$

May 10, 2018

$63$

#### Explanation:

We can set up the following ratio:

$\frac{42}{100} = \frac{x}{150}$

Which compares the percent to the number we're trying to take the percent of. We can cross multiply and we get:

$x = \frac{42 \cdot 150}{100}$

Dividing both top terms by $2$ and dividing the bottom by $4$ (because we divided by $2$ twice on top)

$x = \frac{\textcolor{b l u e}{21} \cancel{42} \cdot \textcolor{b l u e}{75} \cancel{150}}{\textcolor{b l u e}{25} \cancel{100}}$

$x = 63$

Therefore, 42% of $150$ is $63$

Hope this helps!