1. Making Percentages. So 76% of pupils love maths . 19 x 100 25
Dream on !!

2. Testing Times. John achieves the following grades in his exams:
Science 54 86
History 36 55
Maths 27 40
English 47 65
Write down in order what you think is John’s best to work subject.
The problem is because the totals are all out of different amounts we can’t compare the subjects very easily.
What can we do ?
Turn all the grades into a percentage out of a hundred.

3. Marks As Percentages. Look at the grades again: Maths 27 40 English 4765
Science 54 86
History 36 55
100 1
To change the maths score into a percentage we multiply by
100 1
27 x 100
2700 27 40
67.5% x = = = 40
40 x 1
We now know John gained 67.5% for maths.
Now turn the other scores into percentages.

4. John
Maths %
English 72.3%
Science 62.7%
History 65.5%
Now put the subjects in order from best to worst:
English
Maths
History
Science.
By turning different scores into percentages which are always out of a hundred we can compare the scores together accurately.

5. Further Problems. Solve the problems below:
(1) Express £34 as a percentage of £96
Solution 34 96
100 1
3400 96
35.4% = = x
(2) 67 out of 89 people are men. What percentage are men?
Solution 67 89
100 1
6700 89
75.3% = = x

6. What Goes In The Box ? (1) Express £67 out of £134 as a percentage.
50%
(2) If 34 out of 66 people buy a newspaper , what percentage is this ?
51.5%
(3) If 34 out of 189 adults can’t swim what percentage can swim ?
82%