Percent of a Number Math Example 4

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Example 4

hard
In a class of 3232 students, 12.5%12.5\% got an A. How many students got an A? Then find what percentage got below an A.

Solution

  1. 1
    Students with an A: 12.5%×32=0.125×32=412.5\% \times 32 = 0.125 \times 32 = 4.
  2. 2
    Students below an A: 324=2832 - 4 = 28.
  3. 3
    Percentage below an A: 100%12.5%=87.5%100\% - 12.5\% = 87.5\%.

Answer

4 students got an A; 87.5% got below an A4 \text{ students got an A; } 87.5\% \text{ got below an A}
Finding a decimal percent of a number works the same as an integer percent. The complement (100% minus the given percent) gives the percentage in the remaining group.

About Percent of a Number

Calculating a given percentage of a quantity by converting the percent to a decimal (or fraction) and multiplying.

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