Convert Decimals to Percentage

Convert Decimals to Percentage: Earlier we have learned how to convert a decimal into a fraction using simple steps. Learn here: Convert Decimals to Fractions.

In this article, we will learn how to convert decimals into percentages. As we already know, a decimal is a numerical value that has a decimal point between it’s digits. The word percent simply means per 100 and is denoted by the symbol ‘%’. Thus, when 100 is multiplied by a decimal value then the digits get shifted by two places to the right and the percentage value is obtained. For example, the percentage of 0.5 is 50% (Fifty percent).

Let us learn here in detail about converting decimal numbers to percentages with step by step explanations and solved examples.

How to Convert Decimals to Percentages?

Follow the below steps to convert decimals to percentages.

Step 1: Write the given decimals into fraction form by removing the decimal point

Step 2: Multiply them by 100%

Step 3: Solve the expression to get the required percentage.

The decimal will be shifted to the right side by two decimal places and the result will be the required percentage. Thus, we can also directly multiply the given decimal by 100% and then place the decimal point accordingly.

Decimals and Percentage Related Articles

• Addition and Subtraction of Decimals
• Multiplication And Division Of Decimals
• Representation Of Decimals On Number Line
• Fraction to Percent Conversion
• Percentage
• How to Calculate Percentage
• Interpreting And Converting Percentages
• Percent To Fraction And Decimal Numbers

Solved Examples

Q.1: Convert 3.5 into percentage.

Solution: Given, the fraction is 3.5

Now write the given decimal in fraction form.

3.5 =35/10 [Since there is only one digit after the decimal]

Now multiply the fraction by 100%.

35/10 x 100% = 350%.

Hence, is the required percentage.

Q.2: Convert 0.07 into percentage.

Solution: Given the fraction is 0.07

Now write the given decimal in fraction form

0.07 = 7/100 [Since there are two digits after decimal]

Multiply the fraction by 100%

7/100 x 100% = 7%

Hence, the percentage value of 0.07 is 7%.

Q.3: Convert 0.45 into percentage.

Solution: Given the fraction is 0.45

Now write the given decimal in fraction form

0.45 = 45/100 [Since there are two digits after decimal]

Multiply the fraction by 100%

45/100 x 100% = 45%

Hence, the percentage value of 0.45 is 45%.

Percent, Fraction and Decimal

Let us see and compare the three quantities such as percent, fraction and decimal for the same value in the below table. This will help you to understand the concept of conversion of decimal to percentage or fraction in an easy way.

Problems and Solutions

Q.1: What is 50% of 180?

Solution: 50% of 180

We can write, 50% = 50/100

Therefore,

50/100 x 180 = 90

Verification:

This value can be checked.

180 represents here a whole value.

50% = 50/100 = ½

Thus, 50% of any value will be equal to it’s half.

Hence, 50% of 180 is 90 because 90 added to 90 is again equal to 180.

Q.2: 10% of students in the class of 60, like chocolate ice cream. What is the number of students that like chocolate ice cream?

Solution: Given,

Number of students in the class = 60

Percentage of students who like chocolate ice cream = 10%

Thus, the number of students who like chocolate ice cream = 10% of 60 students

= 10/100 x 60

= 1/10 x 60

= 6 students.