1. How to Work Out the Percentage of
an Amount Using Equivalent
Fractions
e.g. 25% of 84
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2. A percentage (%) means: a part out of every
100.

3. A percentage (%) means: a part out of every
100.
So, 1% means: 1 part out of every 100. It is
equivalent (the same as) 1/100 and can be shown
in a diagram as:

4. To find 1% of a number, you can think of it as finding 1/100 of the number.
To find 1/100 of a number, you divide by 100 (the value of the denominator:
the number on the bottom of the fraction)
For example:
1% of 300 = 300 ÷ 100
=3

5. To find 1% of a number, you can think of it as finding 1/100 of the number.
To find 1/100 of a number, you divide by 100 (the value of the denominator:
the number on the bottom of the fraction)
For example:
1% of 300 = 300 ÷ 100
=3
1% of 900 = 900 ÷ 100
=9

6. To find 1% of a number, you can think of it as finding 1/100 of the number.
To find 1/100 of a number, you divide by 100 (the value of the denominator:
the number on the bottom of the fraction)
For example:
1% of 300 = 300 ÷ 100
=3
1% of 470 = 470 ÷ 100
= 4.70
1% of 900 = 900 ÷ 100
=9

7. To find 1% of a number, you can think of it as finding 1/100 of the number.
To find 1/100 of a number, you divide by 100 (the value of the denominator:
the number on the bottom of the fraction)
For example:
1% of 300 = 300 ÷ 100
=3
1% of 470 = 470 ÷ 100
= 4.70
1% of 900 = 900 ÷ 100
=9
1% of 675 = 675 ÷ 100
= 6.75

8. 10% means: 10 parts out of every 100. It is
equivalent (the same as) 10/100 or 1/10 and
can be shown in a diagram as:

9. To find 10% of a number, you can think of it as finding 1/10 of the number.
To find 1/10 of a number, you divide by 10 (the value of the denominator: the
number on the bottom of the fraction)
For example:
10% of 370 = 370 ÷ 10
= 37

10. To find 10% of a number, you can think of it as finding 1/10 of the number.
To find 1/10 of a number, you divide by 10 (the value of the denominator: the
number on the bottom of the fraction)
For example:
10% of 370 = 370 ÷ 10
= 37
10% of 9540 = 9540 ÷ 10
= 954

11. To find 10% of a number, you can think of it as finding 1/10 of the number.
To find 1/10 of a number, you divide by 10 (the value of the denominator: the
number on the bottom of the fraction)
For example:
10% of 370 = 370 ÷ 10
= 37
10% of 67 = 67 ÷ 10
= 6.7
10% of 9540 = 9540 ÷ 10
= 954

12. To find 10% of a number, you can think of it as finding 1/10 of the number.
To find 1/10 of a number, you divide by 10 (the value of the denominator: the
number on the bottom of the fraction)
For example:
10% of 370 = 370 ÷ 10
= 37
10% of 67 = 67 ÷ 10
= 6.7
10% of 9540 = 9540 ÷ 10
= 954
10% of 874 = 874 ÷ 10
= 87.4

13. 25% means: 25 parts out of every 100. It is
equivalent (the same as) 25/100 or 1/4 and
can be shown in a diagram as:

14. To find 25% of a number, you can think of it as finding 1/4 of the number.
To find 1/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction)
For example:
25% of 36 = 36 ÷ 4
=9

15. To find 25% of a number, you can think of it as finding 1/4 of the number.
To find 1/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction)
For example:
25% of 36 = 36 ÷ 4
=9
25% of 320 = 320 ÷ 4
= 80

16. To find 25% of a number, you can think of it as finding 1/4 of the number.
To find 1/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction)
For example:
25% of 36 = 36 ÷ 4
=9
25% of 68 = 68 ÷ 4
= 17
25% of 320 = 320 ÷ 4
= 80

17. To find 25% of a number, you can think of it as finding 1/4 of the number.
To find 1/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction)
For example:
25% of 36 = 36 ÷ 4
=9
25% of 68 = 68 ÷ 4
= 17
25% of 320 = 320 ÷ 4
= 80
25% of 44 = 44 ÷ 4
= 11

18. 50% means: 50 parts out of every 100. It is
equivalent (the same as) 50/100 or 1/2 and
can be shown in a diagram as:

19. To find 50% of a number, you can think of it as finding 1/2 of the number.
To find 1/2 of a number, you divide by 2 (the value of the denominator: the
number on the bottom of the fraction)
For example:
50% of 16 = 16 ÷ 2
=8

20. To find 50% of a number, you can think of it as finding 1/2 of the number.
To find 1/2 of a number, you divide by 2 (the value of the denominator: the
number on the bottom of the fraction)
For example:
50% of 16 = 16 ÷ 2
=8
50% of 320 = 320 ÷ 2
= 160

21. To find 50% of a number, you can think of it as finding 1/2 of the number.
To find 1/2 of a number, you divide by 2 (the value of the denominator: the
number on the bottom of the fraction)
For example:
50% of 16 = 16 ÷ 2
=8
50% of 48 = 48 ÷ 2
= 24
50% of 320 = 320 ÷ 2
= 160

22. To find 50% of a number, you can think of it as finding 1/2 of the number.
To find 1/2 of a number, you divide by 2 (the value of the denominator: the
number on the bottom of the fraction)
For example:
50% of 16 = 16 ÷ 2
=8
50% of 48 = 48 ÷ 2
= 24
50% of 320 = 320 ÷ 2
= 160
50% of 11 = 11 ÷ 2
= 5.5

23. 75% means: 75 parts out of every 100. It is
equivalent (the same as) 75/100 or 3/4 and
can be shown in a diagram as:

24. To find 75% of a number, you can think of it as finding 3/4 of the number.
To find 3/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction) and multiply by 3 (the value of the
numerator: the number on the top of the fraction)
For example:
75% of 16 = (16 ÷ 4) x 3
= 12

25. To find 75% of a number, you can think of it as finding 3/4 of the number.
To find 3/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction) and multiply by 3 (the value of the
numerator: the number on the top of the fraction)
For example:
75% of 16 = (16 ÷ 4) x 3
= 12
75% of 32 = (32 ÷ 4) x 3
= 24

26. To find 75% of a number, you can think of it as finding 3/4 of the number.
To find 3/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction) and multiply by 3 (the value of the
numerator: the number on the top of the fraction)
For example:
75% of 16 = (16 ÷ 4) x 3
= 12
75% of 48 = (48 ÷ 4) x 3
= 36
75% of 32 = (32 ÷ 4) x 3
= 24

27. To find 75% of a number, you can think of it as finding 3/4 of the number.
To find 3/4 of a number, you divide by 4 (the value of the denominator: the
number on the bottom of the fraction) and multiply by 3 (the value of the
numerator: the number on the top of the fraction)
For example:
75% of 16 = (16 ÷ 4) x 3
= 12
75% of 48 = (48 ÷ 4) x 3
= 36
75% of 32 = (32 ÷ 4) x 3
= 24
75% of 44 = (44 ÷ 4) x 3
= 33

28. To work out other percentages, you can build
them up from the percentages that you know.
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

29. To work out other percentages, you can build
them up from the percentages that you know.
For example, to find out 20% of 40:
20% = 10% x 2
10% of 40 = 4
20% of 40 = 4 x 2
=8
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

30. To work out other percentages, you can build
them up from the percentages that you know.
For example, to find out 20% of 40:
20% = 10% x 2
10% of 40 = 4
20% of 40 = 4 x 2
=8
To find out 40% of 50:
40% = 10% x 4
10% of 50 = 5
40% of 50 = 5 x 4
= 20
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

31. To work out other percentages, you can build
them up from the percentages that you know.
For example, to find out 20% of 40:
20% = 10% x 2
10% of 40 = 4
20% of 40 = 4 x 2
=8
To find out 40% of 50:
40% = 10% x 4
10% of 50 = 5
40% of 50 = 5 x 4
= 20
To find out 60% of 90:
60% = 10% x 6
10% of 90 = 9
60% of 90 = 9 x 6
= 54
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

32. To find out 35% of 60:
35% = 10% + 25%
10% of 60 = 6
25% of 60 = 15
35% = 6 + 15
= 21
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

33. To find out 35% of 60:
35% = 10% + 25%
10% of 60 = 6
25% of 60 = 15
35% = 6 + 15
= 21
To find out 65% of 80:
65% = 75% - 10%
75% of 80 = 60
10% of 80 = 8
65% = 60 – 8
= 52
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

34. To find out 35% of 60:
35% = 10% + 25%
10% of 60 = 6
25% of 60 = 15
35% = 6 + 15
= 21
To find out 65% of 80:
65% = 75% - 10%
75% of 80 = 60
10% of 80 = 8
65% = 60 – 8
= 52
To find out 12% of 90:
12% = 10% + (1% x 2)
10% of 90 = 9
2% of 90 = 0.9 x 2 = 1.8
12% = 9 + 1.8
= 10.8
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4

35. To find out 35% of 60:
35% = 10% + 25%
10% of 60 = 6
25% of 60 = 15
35% = 6 + 15
= 21
To find out 65% of 80:
65% = 75% - 10%
75% of 80 = 60
10% of 80 = 8
65% = 60 – 8
= 52
To find out 12% of 90:
12% = 10% + (1% x 2)
10% of 90 = 9
2% of 90 = 0.9 x 2 = 1.8
12% = 9 + 1.8
= 10.8
Remember:
1% = 1/100
10% = 1/10
25% = ¼
50% = ½
75% = 3/4
It’s just a question of building
up the right combination.

36. That’s it for now......
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