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How to Convert Percents to Decimals

(Writing Percents in Decimal Form)

In this section we learn how to write any percent as a decimal. By the end of this section, we'll know how to show that: \[9\% = 0.09 \quad \text{and} \quad 76\% = 0.76\] or even: \[2.5\% = 0.025 \quad \text{and} \quad 317\% = 3.17\]

Knowing how to write percents as decimals will be very important when we learn about percentage increases and decreases as well as reverse percentages, chain percentages and even compound interests.

Tutorial: How to write percents as decimals

In this tutorial, we learn the method for writing percents as decimals with some examples.

Exercise 1

Write each of the following percents as its decimal equivalent:

  1. \(36\%\)
  2. \(90\%\)
  3. \(6\%\)
  4. \(128\%\)
  5. \(8 \%\)
  1. \(29 \%\)
  2. \(210\%\)
  3. \(2\%\)
  4. \(54\%\)
  5. \(9\%\)
Note: this exercise can be downloaded as a worksheet to practice with: Worksheet 1

Solution Without Working

We find the following results:

  1. \(36\% = 0.36\)
  2. \(90\% = 0.9\)
  3. \(6\% = 0.06\)
  4. \(128\% = 0.128\)
  5. \(8 \% = 0.08\)
  6. \(29\% = 0.29\)
  7. \(210\% = 2.1\)
  8. \(2\% = 0.02\)
  9. \(54\% = 0.54\)
  10. \(9\% = 0.09\)

Exercise 2

Write each of the following percents as its decimal equivalent:

  1. \(2.3\%\)
  2. \(10.5 \%\)
  3. \(1040 \%\)
  4. \(5025 \%\)
  5. \(78.2 \%\)
  1. \(532.6\%\)
  2. \(0.5\%\)
  3. \(2003.1\%\)
  4. \(0.9\%\)
  5. \(7003.6\%\)
Note: this exercise can be downloaded as a worksheet to practice with: Worksheet 2

Solution Without Working

We find the following results:

  1. \(2.3\% = 0.023\)
  2. \(10.5 \% = 0.105\)
  3. \(1040 \% = 10.4 \)
  4. \(5025 \% = 50.25\)
  5. \(78.2 \% = 0.782\)
  6. \(532.6\% = 5.326\)
  7. \(0.5\% = 0.005\)
  8. \(2003.1\% = 20.031\)
  9. \(0.9\% = 0.009 \)
  10. \(7003.6\% = 70.036\)


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