# 11 3/4% of 6000 is what number?

Dec 23, 2016

11 3/4% of 6000 is 705

#### Explanation:

First, we need to change $11 \frac{3}{4}$ to decimal for or $11.75$

Now we can restate the problem as:

11.75% of 6000 is what number?

"Percent" or "%" means "out of 100" or "per 100", Therefore 11.75% can be written as $\frac{11.75}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for $n$ while keeping the equation balanced:

$n = \frac{11.75}{100} \times 6000$

$n = \frac{70500}{100}$

$n = 705$