1. Writing one number as a percentage of another
Percentages %
Writing one number as a percentage of another
1. Form a fraction with the two numbers
2. Convert the fraction into a decimal
3. Convert the decimal in a percentage
Example 1.
Write 24 as a percentage of 32
24 as a fraction of 32 =
24 as a decimal of 32 = 24  32 = 0.75
24 as a percentage of 32 = 0.75  100 = 75%

2. Percentages %
Example 2: Tarn scores 75 out of 125 in an English test. What is her percentage mark?
Step 1:
Tarn’s mark as a fraction =
Step 2:
Tarn’s mark as a decimal = 75  125 = 0.6
Step 3:
Tarn’s mark as a percentage = 0.6  100 = 60%

3. Percentages %
Example 3: A cardigan is reduced from £25 to £19 in a sale. What is the percentage reduction?
Cash reduction =£25 – £19 = £6
Step 1:
Reduction as a fraction =
Step 2:
Reduction as a decimal = 6  25 = 0.24
Step 3:
Reduction as a percentage = 0.24  100 = 24%

4. Practice: Write

5. Practice Answers