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Three Types of Percent Problems

Three Types of Percent Problems. P ercents are "parts of a whole". The part is the numerator and the whole is the denominator. 17% means 17 parts per 100 or We are going to solve problems involving percents . There are 3 types of problems:

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Three Types of Percent Problems

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  1. Three Types of Percent Problems

  2. Percentsare "parts of a whole". The part is the numerator and the whole is the denominator. 17% means 17 parts per 100 or We are going to solve problems involving percents. There are 3 types of problems: 1. Find the part:What number is 54% of 34? 2. Find the whole:4 is 60% of what number? 3. Find the percent:18 is what percent of 28?

  3. Two words that will occur in these types of problems are "is" and "of". These words have specific meanings in math. "Is" means equals (=) "Of" means multiply To solve a percent problem, translate the words into an equationby 1. Percent into a decimal 2. "is" to "=" 3. "of" to " " 4. Unknown to "x" Then, solve the equation.

  4. Percent ofWhole is Part. Percent xWhole = Part

  5. Finding the Part...

  6. Examples: 40% of 60 20% of 90

  7. Finding the Whole...

  8. Examples: 40% of what number is 50? 100 is 20% of what number?

  9. 56 is 70% of what?

  10. Finding the Percent...

  11. Examples What percent of 80 is 24? • 60 is what percent of 15?

  12. You have just studied three different types of percent problems. Try all 3 types: 24 is 40% of what number? 42 is what percent of 840? What is 30% of 45?

  13. Find the largest value. A What is 50% of 50? B What number is 45% of 60? C 30 is 60% of what number? D 25% of what number is 150?

  14. Find the greatest percentage value. A What percent of 30 is 18? B 60 is what percent of 90? C What percent of 70 is 210? D 1,000 is what percent of 100?

  15. Find 20% of 78.

  16. 8 is what percent of 28?

  17. What number is 3% of 17?

  18. Find 27% of 54.

  19. 23 is what percent of 200?

  20. What percent is 35 of 20?

  21. 56% of what number is 40?

  22. 45 is 30% of what number?

  23. 62% of 40 is what number? A 24.8 B .0155 C 24.8% D 15.5

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