# 80 us 56% of what number?

Dec 1, 2016

80 is 56% of 142.9 rounded to the nearest 10th

#### Explanation:

First, when converting from a word problem to a math problem the word "is" is the same as equals or $=$.

"Percent" or "%" means "out of 100" or "per 100", Therefore 56% can be written as $\frac{56}{100}$.

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

Then, we can make "what" be or variable, let's call it $n$.

Putting this all together gives:

$80 = \frac{56}{100} \times n$

Solving this equation gives:

$\frac{100}{56} \times 80 = \frac{100}{56} \times \frac{56}{100} \times n$

$\frac{8000}{56} = \frac{\cancel{100}}{\cancel{56}} \times \frac{\cancel{56}}{\cancel{100}} \times n$

$142.9 = n$ rounded to the nearest 10th