# 2.6 is 6.5% of what number?

May 15, 2018

See a solution process below:

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 6.5% can be written as $\frac{6.5}{100}$.

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:

$2.6 = \frac{6.5}{100} \times n$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{6.5}} \times 2.6 = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{6.5}} \times \frac{6.5}{100} \times n$

$\frac{260}{\textcolor{b l u e}{6.5}} = \frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{6.5}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{6.5}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times n$

$40 = n$

$n = 40$

2.6 is 6.5% of $\textcolor{red}{40}$

May 15, 2018

2.6 is 6.5% of 40

#### Explanation:

The formula of percentage is

"Part"/"Whole"xx100=%

here you want to find the whole so

$\frac{2.6}{\text{Whole}} \times 100 = 6.5$

$\frac{260}{\text{Whole}} = 6.5$

$\text{Whole} = \frac{260}{6.5}$

$\text{Whole} = 40$

2.6 is 6.5% of 40