Percentages

The word percent comes from the Latin “per centum” meaning “per hundred”. It is a piece of a hundred and can be written as a decimal, fraction or a percentage

So 34 out of 100 could be written as [latex]\frac{34}{100}[/latex] or 0.34 or 34%

These all mean the same thing and have the same value

To convert a percentage into a fraction, divide the percent by 100 and simplify if possible

6 % becomes [latex]\frac{6}{100}[/latex] or [latex]\frac{3}{50}[/latex]

Convert from a fraction to a percentage by multiplying by 100 when the denominator is 100

[latex]\frac{3}{100}[/latex] x [latex]\frac{100}{1}[/latex] = 3

The percentage can also be written as a decimal by moving the decimal place over 2 places

34.00 % becomes 0.34

6.00 % becomes 0.06

Convert back from a decimal to a percentage by multiplying by 100

0.05 x 100 = 5 %