Converting percentages to decimals and fractions

To convert from a percentage, first convert it to a decimal and then convert the decimal to a fraction if required.

Example

Convert 24% to a decimal and a fraction.

24% = 0.24 (2 tenths and 4 hundredths)

HundredsTensUnits.TenthsHundredthsThousandths
0.24

0.24 as a fraction is \frac{24}{100} which simplifies to \frac{6}{25} (simplified by removing a common factor of 4).

Key conversions

There are some important fraction/decimal/percentage conversions that you should know.

FractionDecimalPercentage
\frac{1}{10}0.110%
\frac{1}{5}0.220%
\frac{1}{4}0.2525%
\frac{3}{4}0.7575%
\frac{1}{2}0.550%
\frac{1}{3} 0. \dot{3} 33. \dot{3} \%