Unit 04 · Rates and PercentsLesson

Day 058Finding the Percent Rate

LearnClassworkAnswer keyPDF packet ↗
Standards 6.RP.A.3c
LEARNING TARGET

I can find the percent that one quantity is of another.

Build the idea

Divide the part by the whole, then multiply by 100. Keep the same units in part and whole. The percent can be above 100 if the part is larger than the reference whole.

WORKED EXAMPLE 1

40 is what percent of 200?

20%

40 ÷ 200 × 100 = 20%; the reference whole is 200.

WORKED EXAMPLE 2

200 is what percent of 160? State which quantity is the reference whole.

125%

200 ÷ 160 × 100 = 125%; the reference whole is 160.

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. 8 is what percent of 80?

  2. 22 is what percent of 220?

  3. 20 is what percent of 100?

  4. 88 is what percent of 220?

  5. 24 is what percent of 60?

  6. 6 is what percent of 40?

  7. 40 is what percent of 200? State which quantity is the reference whole.

  8. 165 is what percent of 220? State which quantity is the reference whole.

  9. 20 is what percent of 80? State which quantity is the reference whole.

  10. 225 is what percent of 180? State which quantity is the reference whole.

Answers and reasoning

Reveal the teacher answer key
  1. 10%

    8 ÷ 80 × 100 = 10%; the reference whole is 80.

  2. 10%

    22 ÷ 220 × 100 = 10%; the reference whole is 220.

  3. 20%

    20 ÷ 100 × 100 = 20%; the reference whole is 100.

  4. 40%

    88 ÷ 220 × 100 = 40%; the reference whole is 220.

  5. 40%

    24 ÷ 60 × 100 = 40%; the reference whole is 60.

  6. 15%

    6 ÷ 40 × 100 = 15%; the reference whole is 40.

  7. 20%

    40 ÷ 200 × 100 = 20%; the reference whole is 200.

  8. 75%

    165 ÷ 220 × 100 = 75%; the reference whole is 220.

  9. 25%

    20 ÷ 80 × 100 = 25%; the reference whole is 80.

  10. 125%

    225 ÷ 180 × 100 = 125%; the reference whole is 180.

← Lesson indexBack to top ↑Day 059 →