# What is 28% of 95?

Mar 1, 2017

28% of 95 is $\textcolor{red}{26.6}$

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 28% can be written as $\frac{28}{100}$.

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:

$n = \frac{28}{100} \times 95$

$n = \frac{2660}{100}$

$n = 26.6$

Mar 1, 2017

$26.6$

#### Explanation:

The % symbol is a unit of measurement that is worth $\frac{1}{100}$

So 28% of 95 $\to 28 \times \frac{1}{100} \times 95$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Using a calculator}}$

$\frac{28}{100} \times 95 = 26.6$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Manual calculation}}$

Splitting the calculation

$28 \times 95 \times \frac{1}{100}$

For the moment discount the $\frac{1}{100}$

Split the 28 into $20 + 8$ which can be split further into

$\textcolor{p u r p \le}{28 \times 95 \text{ "=" ")color(green)( (20xx95)" "+" } \left(8 \times 95\right)}$

 " "=" "color(red)((2xx10xx95)color(darkslategrey)(" "+" "(8xx95)))
$\textcolor{w h i t e}{.}$

$\underline{\textcolor{red}{10 \times 95} = 950}$
color(red)("Double it")=1900 larr" That is the "2xx10xx95" bit"
$\underline{\textcolor{\mathrm{da} r k s l a t e g r e y}{8 \times 95} \textcolor{w h i t e}{\ldots .} = \textcolor{w h i t e}{.} 760} \leftarrow \text{ Add}$
$\text{ } 2660$

Now we bring back the $\frac{1}{100}$

$2660 \times \frac{1}{100} = 26.60 \to 26.6$