P5 · Topic
Percentage
Percentage always means 'out of 100'. Always ask: of what?
Big Idea
Percentage always means 'out of 100'. Always ask: of what?
Key points
- 1Convert to fractions/decimals to compute: 35% = 35/100.
- 2Discount price = original × (100 − d)%.
- 3For '% of remainder', redraw the bar for the remainder first.
- 4Check: parts must add up to 100%.
Worked example
- 1Girls = 100% − 35% = 65% of total.
- 265% of total = 260, so 1% = 4.
- 3Total = 100 × 4 = 400.
Answer: 400
GYM Teaching Tip
Underline the whole in the question. Every % must refer to it.
See the question behind this example
35% of the pupils in a school are boys. There are 260 girls. How many pupils are there?