1. Proportions keep help us stay NOT confused!
Yesterday:
Find 24 % of 75. 18
Today:
Example A:
What number is 24% of 75?
Example B:
What percent of 75 is 18?
18 is 24% of what number?
Example C:
Proportions keep help us stay NOT confused!

2. 𝑥 = ∙ 75 𝑥 = 18 Example A: What number is 24% of 75? = 100𝑥 = 25𝑥 = 𝑥
24 100
75 𝑥
24 100
24 100 75 𝑥
𝑥 75 = = 75
24 75
1800 =
100 𝑥
100𝑥
6 75
450 =
25 𝑥
25𝑥
100
100 25 25 = 𝑥 18 18 = 𝑥 18 18
6 25
2∙2∙2∙3 2∙2∙5∙5
6 25 = =
What number 𝑥 = is
24% of ∙ 75
0.24 75 24 𝑥 = 18 4 6 2 2 2 3

3. = = 1800 600 = 24 𝑥 = 1 100 𝑥 1𝑥 100 𝑥 100 What percent 0.01𝑥 of ∙ 75
Example B: What percent of 75 is 18? 𝑥 ?
100 𝑥
100 18
75 18
18 75
18 75
18 75 = = 75
𝑥 25
25𝑥 =
75𝑥 =
1800
100 6
600
𝑥 75 75 75 25 25 = 24 𝑥 24 𝑥 =
1 100 𝑥
1𝑥 100
𝑥 100
What percent
0.01𝑥 of ∙ 75 75 = is 18 18
2∙2∙2∙3∙3∙5∙5 𝑥=
3∙5∙5
6 25
6 25
2∙3∙3 3∙5∙5
𝑥=24 24 = =
𝑥 = 24

4. Example C: 18 is 24% of what number?
24 100
24 100 18 18
24 100
18 𝑥
𝑥 18 = 𝑥 = 𝑥
6 𝑥 6𝑥 =
25 18
450 6 6
24 𝑥
24𝑥 =
1800 24 24 𝑥 = 75 75 𝑥 =
6 25
2∙2∙2∙3 2∙2∙5∙5
6 25 18 18 is =
0.24
24% = of ∙
what number 𝑥 =
2∙2∙2∙3∙3∙5∙5 𝑥= 24
2∙2∙2∙3 𝑥= 4 6
𝑥=75 75 75 2 2 2 3

5. Example A: What number is 24% of 75?
= 𝑥 75
𝑥=0.24∙75
Example B: What percent of 75 is 18?
𝑥 100 = 18 75
0.01𝑥∙75=18
Example C: 18 is 24% of what number?
= 18 𝑥
18=0.24∙𝑥

7. Practice
Drill

8. What percent of 36 is 4?
𝑥 100 = 4 36
0.01𝑥∙36=4

9. What number is 92% of 16?
= 𝑥 16
𝑥=0.92∙16

10. 33 is 24% of what number?
= 33 𝑥
33=0.24∙𝑥

11. 11 is 84% of what number?
= 11 𝑥
11=0.84∙𝑥

12. What percent of 2 is 3?
𝑥 100 = 3 2
0.01𝑥∙2=3

13. What number is 8% of 6?
8 100 = 𝑥 6
𝑥=0.08∙6

14. Example D: What number is 32% of 25?𝑥 𝑥 25
32 100
25 𝑥
What number = is
32% of ∙ 25
0.32
𝑥 25 = 25
Example E: What percent of 25 is 8? 8
8 25
25 8
What percent
.01𝑥 ∙ of 25 25 is 8 8
𝑥 100 = = 25
Example F: 8 is 32% of what number? 8 8 = is
32%
0.32 of ∙
what number 𝑥
32 100 8
8 𝑥
𝑥 8 = 𝑥

15. 𝑥 = ∙ 𝑥 = 8 Example D: What number is 32% of 25? = = 100𝑥 25𝑥 = 𝑥 = 𝑥
32 100 25 ?
32 100
32 100 25 𝑥 = =
8 25
200 =
32 25
800 =
100𝑥
25 𝑥
25𝑥
100 𝑥
100
100 25 25 = 𝑥 8 8 = 𝑥 8 8
25 1
What number 𝑥 = is
0.32
32% of ∙ 25 25
8 25
2∙2∙2∙2∙3 2∙2∙5∙5
8 25 = = 𝑥 = 8

16. Example E: What percent of 25 is 8?𝑥 ?
100 25 8 =
What percent
0.01𝑥 of ∙ 25 25 = is 8 8
𝑥 25
25𝑥 =
800
100 8 25 25
800 25 𝑥 =
𝑥 = 32
2∙2∙2∙2∙2∙5∙5 𝑥=
5∙5
𝑥=32 32

17. Example F: 8 is 32% of what number?
32 100
32 100 8
32 100 8 = = 𝑥 𝑥 ?
8 𝑥 8𝑥 =
25 8
200 8 8
32 𝑥
32𝑥 =
100 8
800 32 32 𝑥 = 25 25
800 32 𝑥 = 8 8 = is
0.32
32% of ∙
what number 𝑥 =
2∙2∙2∙2∙2∙5∙5 𝑥=
2∙2∙2∙2∙2
8 25
2∙2∙2∙2∙2 2∙2∙5∙5
8 25 = =
𝑥=25 25 𝑥= 75