Percentages · Usually met around P6
Percentages, fractions and decimals
A percentage is a fraction out of 100.
How to do it
Method
A percentage is a fraction out of 100
14 = 25100 = 25%
Another way
Times 100%
14 × 100% = 25%
In full
A percentage is a fraction out of 100. Decimal to percentage: move the point two places right, 0.35 = 35%. Percentage to decimal: move it two places left, 45% = 0.45. Not enough digits? Fill in zeros: 0.3 = 30%, 7% = 0.07. Fraction to percentage: scale it to a denominator of 100, 14 = 25100 = 25%. Percentage to fraction: write it over 100 and simplify, 40% = 40100 = 25. Or multiply the decimal or fraction by 100%: 14 × 100% = 25%.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
62% = ?
Answer as a decimal
Show the answer and working
Answer: 62% = 0.62
62%: move the point two places left, 62 ÷ 100 = 0.62
Example 2
1.02 = ?%
Show the answer and working
Answer: 1.02 = 102%
1.02: move the point two places right, 1.02 × 100 = 102 → 102%
Example 3
1.36 = ?%
Show the answer and working
Answer: 1.36 = 136%
1.36: move the point two places right, 1.36 × 100 = 136 → 136%
Practise it in the game →Percentages · Free to start, unlimited questions, no download