# What percent of 800 is 78?

Aug 11, 2016

color(green)(9.75%) of $800$ is $78$

#### Explanation:

If x% of $800$ is $78$
then
$\textcolor{w h i t e}{\text{XXX}} \frac{x}{100} \times 800 = 78$

$\textcolor{w h i t e}{\text{XXX}} 8 x = 78$

$\textcolor{w h i t e}{\text{XXX}} x = 9 \frac{6}{8} = 9 \frac{3}{4} \mathmr{and} 9.75$

Aug 11, 2016

9.75%

#### Explanation:

What percent is 78 of 800?

Write it exactly as it is said.

78/800 xx 100 %

=9.75%

Or use direct proportion, because percentages are always in the same ratio as the numbers.

$\frac{78}{800} = \frac{x}{100}$

$x = \frac{78 \times 100}{800}$

$x = 9.75$