This document provides examples and questions to demonstrate how to express one quantity as a percentage of another. It shows that to calculate a percentage, you write the quantities as a fraction and convert the fraction to a decimal by dividing the top number by the bottom number, then convert the decimal to a percentage by multiplying by 100. Ten questions are provided with the quantities and the percentages calculated to 1 decimal place of accuracy.

1. Express one
quantity as % of
another
Created by Richard Bull

2. Example:
15 is what percentage of 50
Write it as a fraction and then change to a decimal and then
a percentage
15
50
= 0.3 = 30%
To change
fraction to
decimal
Divide top
number, by the
bottom number
To change
decimal to
percentage
Multiply by 100

3. Increase
Questions
Express the following as a percentage. Copy each question, showing your
working out and round your answers to a suitable degree of accuracy.
1) £3 of £10
2) £5 out of £7.20
3) 252kg out of 750kg
4) 15m of 24m
5) 17 minutes of 1 hour
6) 26 minutes of 2 hours
7) 2 weeks of a year
8) 5 months of a year
9) 245g of 5kg
10) 38cm of 4m
1) 30%
2) 69.4% (1dp)
3) 33.6%
4) 62.5%
5) 28.3% (1dp)
6) 21.7% (1dp)
7) 3.8% (1dp)
8) 41.7% (1dp)
9) 4.9%
10) 9.5% Created by
Richard Bull