The word percent comes from the Latin word “cent” meaning “hundred”, such that “percent” means “per hundred”. Examples of percentages are:
The symbol % always means divided by 100.
Converting a percentage to a fraction
So if we divide a whole into 100 equal parts, each part is 1 out of 100, or written as a fraction, 1/100. As a percent, this is 1%. This means that
Therefore 45% of the whole will be 45/100.
Furthermore, 110% of the whole will be 110/100, which is more than a whole. We can write it as a mixed number
Converting a fraction to a percentage
To convert a fraction to a percent, multiply by 100%.
For example, express 1/2 as a percentage, i.e.:
Another example, express 1/8 as a percentage, i.e.:
Converting a percentage to a decimal
Percentages can be expressed as decimals.
Alternatively, . This is because there are 2 wholes, and not a proportion of one.
Converting a decimal to a percentage
To convert a decimal to a percentage, multiply by 100%.
In the further alternative,
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