Converting decimal numbers, fractions, proportions and ratios to percentages
It's very simple to write a fraction (a proportion or a ratio) or a decimal number as a percentage. To convert a fraction just start by dividing the numerator by the denominator and then multiply the result by 100%. By multiplying the result by 100% the value we've got at the previous step is not modified, since 100% = 100/100 = 1. By multiplying by 100% only the form is being changed - it's written as a percentage.
It's even simpler to write a decimal number as a percentage. Simply multiply the number by 100%.
Examples
- 1/4 = 0.25 = 0.25 × 100% = (0.25 × 100)% = 25%;
- 7/8 = 0.875 = 0.875 × 100% = (0.875 × 100)% = 87.5%
- 1.3/9.4 ≈ 0.138297 = 0.138297 × 100% = (0.138297 × 100)% = 13.8297%