2. Overview
This set of tutorials provides 42 examples of solving one-variable
equations that involve percents. They include these three main types of
equations:
•Finding the percent of a number (Examples 1-12)
•Finding the percent a is of b (Examples 13-33)
•Finding the solution to "a is b% of what number?” (Examples 34-42)
3. Solving Equations with Percents, of the form what is a% of b?
Example 1: 0 < a < 10, 0 < b < 10, b is an integer
4. Solving Equations with Percents, of the form what is a% of b?
Example 2: 0 < a < 10, 0 < b < 10, b is a decimal
5. Solving Equations with Percents, of the form what is a% of b?
Example 3: 0 < a < 10, 10 ≤ b < 100, b is an integer
6. Solving Equations with Percents, of the form what is a% of b?
Example 4: 0 < a < 10, 10 ≤ b < 100, b is an integer
7. Solving Equations with Percents, of the form what is a% of b?
Example 5: 10 ≤ a < 100, 0 < b < 10, b is an integer
8. Solving Equations with Percents, of the form what is a% of b?
Example 6: 10 ≤ a < 100, 0 < b < 10, b is a decimal
9. Solving Equations with Percents, of the form what is a% of b?
Example 7: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
10. Solving Equations with Percents, of the form what is a% of b?
Example 8: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
11. Solving Equations with Percents, of the form what is a% of b?
Example 9: a ≥ 100, 0 < b < 10, b is an integer
12. Solving Equations with Percents, of the form what is a% of b?
Example 10: a ≥ 100, 10 < b < 10, b is a decimal
13. Solving Equations with Percents, of the form what is a% of b?
Example 11: a ≥ 100, 10 ≤ b < 100, b is an integer
14. Solving Equations with Percents, of the form what is a% of b?
Example 12: a ≥ 100, 10 ≤ b < 100, b is a decimal
15. Solving Equations with Percents, of the form what is a% of b?
Example 13: 0 < a < 10, 0 < b < 10, b is an integer
16. Solving Equations with Percents, of the form a is what percent of
b?
Example 14: 0 < a < 10, 0 < b < 10, b is a decimal
17. Solving Equations with Percents, of the form a is what percent of
b?
Example 15: 0 < a < 10, 10 ≤ b < 100, b is an integer
18. Solving Equations with Percents, of the form a is what percent of
b?
Example 16: 0 < a < 10, 10 ≤ b < 100, b is an integer
19. Solving Equations with Percents, of the form a is what percent of
b?
Example 17: 0 < a < 10, b ≥ 100, b is an integer
20. Solving Equations with Percents, of the form a is what percent of
b?
Example 18: 0 < a < 10, b ≥ 100, b is a decimal
21. Solving Equations with Percents, of the form a is what percent of
b?
Example 19: 10 ≤ a < 100, 0 < b < 10, b is an integer
22. Solving Equations with Percents, of the form a is what percent of
b?
Example 20: 10 ≤ a < 100, 0 < b < 10, b is a decimal
23. Solving Equations with Percents, of the form a is what percent of
b?
Example 21: 10 ≤ a < 100, 10 ≤ b < 100, b is an integer
24. Solving Equations with Percents, of the form a is what percent of
b?
Example 22: 10 ≤ a < 100, 10 ≤ b < 100, b is a decimal
25. Solving Equations with Percents, of the form a is what percent of
b?
Example 23: 10 ≤ a < 100, b ≥ 100, b is an integer
26. Solving Equations with Percents, of the form a is what percent of
b?
Example 24: 10 ≤ a < 100, b ≥ 100, b is a decimal
27. Solving Equations with Percents, of the form a is what percent of
b?
Example 25: a ≥ 100, 0 < b < 10, b is an integer
28. Solving Equations with Percents, of the form a is what percent of
b?
Example 26: a ≥ 100, 0 < b < 10, b is a decimal
29. Solving Equations with Percents, of the form a is what percent of
b?
Example 27: a ≥ 100, 10 ≤ b < 100, b is an integer
30. Solving Equations with Percents, of the form a is what percent of
b?
Example 28: a ≥ 100, 10 ≤ b < 100, b is a decimal
31. Solving Equations with Percents, of the form a is what percent of
b?
Example 29: a ≥ 100, b ≥ 100, b is an integer
32. Solving Equations with Percents, of the form a is what percent of
b?
Example 30: a ≥ 100, b ≥ 100, b is a decimal
33. Solving Equations with Percents, of the form a is what percent of
b?
Example 31: 0 < a < 10, 0 < b < 1
34. Solving Equations with Percents, of the form a is what percent of
b?
Example 32: 0 < a < 10, 1 ≤ b ≤ 10
35. Solving Equations with Percents, of the form a is what percent of
b?
Example 33: 0 < a < 10, 10 ≤ b ≤ 99
36. Solving Equations with Percents, of the form a is b% of what
number?
Example 34: 0 < a < 10, b ≥ 100
37. Solving Equations with Percents, of the form a is b% of what
number?
Example 35: 10 ≤ a ≤ 100, 0 < b < 1
38. Solving Equations with Percents, of the form a is b% of what
number?
Example 36: 10 ≤ a ≤ 100, 1 < b ≤ 10
39. Solving Equations with Percents, of the form a is b% of what
number?
Example 37: 10 ≤ a ≤ 100, 10 ≤ b ≤ 99
40. Solving Equations with Percents, of the form a is b% of what
number?
Example 38: 10 ≤ a ≤ 100, b ≥ 100
41. Solving Equations with Percents, of the form a is b% of what
number?
Example 39: a ≥ 100, 0 < b < 1
42. Solving Equations with Percents, of the form a is b% of what
number?
Example 40: a ≥ 100, 1 < b ≤ 10
43. Solving Equations with Percents, of the form a is b% of what
number?
Example 41: a ≥ 100, 10 ≤ b ≤ 99
44. Solving Equations with Percents, of the form a is b% of what
number?
Example 42: a ≥ 100, b ≥ 100