Finding This Percent of That

Student Summary

Suppose a business donates 1% of its profits to charity each year. How much would it donate if it made $7,500 in profits?

To find 1% of 7,500, we can multiply 7,500 by 1100\frac{1}{100} or 0.01.

11007,500=75\frac{1}{100} \boldcdot 7,500 = 75, so the business would donate $75.

What if the business donates 6% of its profits to charity? Because 6% of 7,500 is 6 times as much as 1% of 7,500, we can calculate 611007,5006 \boldcdot \frac{1}{100} \boldcdot 7,500 or 61007,500\frac{6}{100} \boldcdot 7,500.

61007,500=450\frac{6}{100} \boldcdot 7,500 = 450, so the business would donate $450.

The same reasoning can help us find 1%, 6%, and other percentages of another number:

  • To find 1% of a number, we can multiply that number by 1100\frac{1}{100} or 0.01.
  • To find 6% of a number, we can multiply the number by 6100\frac{6}{100} or 0.06.
  • To find 49% of a number, we can multiply the number by 49100\frac{49}{100} or 0.49.
  • To find 135% of a number, we can multiply the number by 135100\frac{135}{100} or 1.35.

In general, to find P%P\% of any number, xx, we can calculate: P100x\frac{P}{100}\boldcdot x.

Visual / Anchor Chart

Standards

Building On
5.NBT.6

5.NBT.B.6

Addressing
6.RP.3

6.RP.A.3

6.RP.3.c

6.RP.A.3.c