Year 8 · Maths · Percentages · Lesson 1
Percentages of amounts
Convert between fractions, decimals and percentages, find percentages of amounts without a calculator, and write one number as a percentage of another.
23-minute video lesson
Teaching, worked examples and 20 practice questions solved step by step.
Watch free for a monthWhat your child will learn
- Convert decimals and fractions to percentages
- Find 10%, 5% and 1% of an amount
- Build up any percentage of an amount
- Write one number as a percentage of another
- Compare percentages of amounts
The method
- 10%: divide by 10. 1%: divide by 100.
- 5% is half of 10%. 50% is half.
- Build up: 35% = 30% + 5%.
- A as a percentage of B: A ÷ B × 100.
Key words: percentage, per cent, decimal, fraction, amount.
Worked examples
The first three practice questions from the lesson, with every step.
Question 1
Write 0.7 as a percentage.
- Step 1: 0.7 × 100 = 70
Answer: 70%
Question 2
Write 0.04 as a percentage.
- Step 1: 0.04 × 100 = 4
Answer: 4%
Question 3
Write 1/4 as a percentage.
- Step 1: 1/4 = 25/100
- Step 2: 25/100 = 25%
Answer: 25%