# 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.

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