# Percents and Decimals

The word percent means “hundredths” or “divided by $100$ .” The symbol % is used to represent percent.

$39\%$ means $39$ divided by $100$ or $\left(\frac{39}{100}\right)$

To convert a
**
percentage to a decimal
**
, remove the percent sign and divide by
$100$
. (You can achieve the same result by moving the decimal point two places to the left.)

$\begin{array}{l}16.2\%=0.162\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}25\%=0.25\end{array}$

To convert a
**
decimal to a percentage
**
, multiply by
$100$
and add a percent sign. (You can achieve the same result by moving the decimal point two places to the right.)

$\begin{array}{l}0.065=6.5\%\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}3.75=375\%\end{array}$

To change a
fraction
**
into a percentage
**
, divide to find its decimal equivalent and then change the decimal to the percentage.

$\frac{15}{20}=0.75=75\%$