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Understanding Percentages: Finding Percent of a Number Made Easy

Discover how to calculate the percentage of one number in relation to another using simple proportions. This guide provides real-world applications, examples, and helpful tips for solving problems involving percentages. With practical scenarios like school participation in sports and fundraising, along with exercises like laundry loads and reading pages, you will gain a clearer understanding of how to find percentages. Learn both the proportion method and the multiplication method to efficiently tackle percentage problems.

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Understanding Percentages: Finding Percent of a Number Made Easy

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  1. Percent Problems #22

  2. % 100 is of = F.Y.I. To find the percent one number is of another, use this proportion: Because you are looking for 45%of 420, 45 replaces the percent sign and 420 replaces “of.” The first denominator, 100, always stays the same. The “is” part is what you have been asked to find.

  3. Example 1: Real-World Application There are 560 students in Ella’s school. If 35% of the students participate in after-school sports, how many students participate in after-school sports?

  4. Example 2 There are 480 students in Tisha’s school. If 70% of the students participate in the fundraising program, how many students participate is that ?

  5. Additional Example 2: Application Johan is 25% of the way through his exercises. If he has exercised for 20 minutes so far, how much longer does he have to work out?

  6. Example 3 Katie has read 35% of a book. If she has read 49 pages, how many more pages does Katie have left to read?

  7. Example 4 Justin is 75% through washing and folding his laundry. If he has finished 6 loads, how many loads does he still need to do?

  8. F.Y.I. Instead of using proportions, you can also multiply to find a percent of a number.

  9. Example 5: Multiplying to Find a Percent of a Number Find 36% of 50.

  10. Example 6 Find the percent of each number. 20% of 140

  11. Example 7 Find the percent of each number. 45% of 900

  12. Example 8 Find the percent of each number. 80% of 30

  13. Example 9 Find the percent of each number. 15% of 150

  14. Example 10 Find the percent of each number. 75% of 360

  15. Example 11 Find the percent of each number. 30% of 170

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