This document provides 42 examples of solving one-variable equations involving percents. The examples are divided into three main types: finding the percent of a number, finding what percent one number is of another, and finding the solution to "a number is b% of what number." Each example solves an equation using different value ranges for the variables a and b, and varies whether b is an integer or decimal. The goal is to demonstrate how to solve various percent equations.

1. Solving One-Variable Equations with
Percents

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