PERCENT PROBLEMS 22 F Y I To find

PERCENT PROBLEMS #22

F. Y. I. To find the percent one number is of another, use this proportion: % is = 100 of 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.

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 afterschool sports?

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 ?

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?

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?

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?

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

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

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

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

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

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

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

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