Math Lesson 5.2.2 - Converting Decimals into Percentages

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Welcome to our Math lesson on Converting Decimals into Percentages, this is the second lesson of our suite of math lessons covering the topic of Percentages, Fractions and Decimals, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Converting Decimals into Percentages

As for decimals, we know that they can easily be converted into decimal fractions. The number of decimal places determines the number of zeroes in the denominator of the corresponding decimal fraction. For example,

etc.

If we want to transform these numbers into percentages, we must make all denominators of the corresponding fractions 100. Thus, if we consider the above numbers again, it yields

Example 1

Convert the following numbers into percentages

1. 9/30
2. 7/14
3. 30/24
4. 6.32
5. 0.907
6. 11.001

Solution 1

Applying the methods described above, we obtain

1. 9/30 = 9 ÷ 3/30 ÷ 3 = 3/10 = 3 × 10/10 × 10 = 30/100 = 30%
2. 7/14 = 7 ÷ 7/14 ÷ 7 = 1/2 = 1 × 50/2 × 50 = 50/100 = 50%
3. 30/24 = 30 ÷ 6/24 ÷ 6 = 5/4 = 5 × 25/4 × 25 = 125/100 = 125%
4. 6.32 = 632/100 = 632%
5. 0.907 = 907/1000 = 907 ÷ 10/1000 ÷ 10 = 90.7/100 = 90.7%
6. 11.001 = 11,001/1000 = 11,001 ÷ 10/1000 ÷ 10 = 1100.1/100 = 1100.1%

More Percentages, Fractions and Decimals Lessons and Learning Resources

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Enjoy the "Converting Decimals into Percentages" math lesson? People who liked the "Percentages, Fractions and Decimals lesson found the following resources useful:

1. Decimal To Percent Feedback. Helps other - Leave a rating for this decimal to percent (see below)
2. Percentages Math tutorial: Percentages, Fractions and Decimals. Read the Percentages, Fractions and Decimals math tutorial and build your math knowledge of Percentages
3. Percentages Video tutorial: Percentages, Fractions and Decimals. Watch or listen to the Percentages, Fractions and Decimals video tutorial, a useful way to help you revise when travelling to and from school/college
4. Percentages Revision Notes: Percentages, Fractions and Decimals. Print the notes so you can revise the key points covered in the math tutorial for Percentages, Fractions and Decimals
5. Percentages Practice Questions: Percentages, Fractions and Decimals. Test and improve your knowledge of Percentages, Fractions and Decimals with example questins and answers
6. Check your calculations for Percentages questions with our excellent Percentages calculators which contain full equations and calculations clearly displayed line by line. See the Percentages Calculators by iCalculator™ below.
7. Continuing learning percentages - read our next math tutorial: Percentage Increase and Decrease

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Percentages Calculators by iCalculator™

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