# Kyle often pretends to take showers. He was told 330 times to take a shower, but only took one 264 times. What percentage of the time did he pretend to take a shower?

Nov 15, 2016

Kyle pretended to take a shower for 20% of the times he was asked.

#### Explanation:

The times Kyle pretended to take a shower amount to $\left(330 - 264\right)$, that is $66$.

To determine what percentage $66$ is of $330$, we write the equation:

$330 \times \frac{x}{100} = 66$

Multiply both sides by $\frac{100}{330}$.

$x = 66 \times \frac{100}{330}$

$x = 66 \times \frac{10 \cancel{0}}{33 \cancel{0}}$

$x = 2 \cancel{66} \times \frac{10}{\cancel{33}}$

$x = 2 \times 10$

$x = 20$