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How to convert Decimal To Percent?

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  • Last Updated : 03 May, 2022

Decimal to percent conversion is one of the significant estimations of business math and banking computations. “Decimal” is derived from the Latin word Decimus which implies one-10th. The decimal framework has a base of 10. The decimal numbers are normally perceived by the dot “, ” between the digits called “decimal point”. The expression “percent” is comprised of two words ‘per and cent’ which signifies “Out of 100”. At the end of the day, we can say that percent is the proportion determined out of 100.

Decimal

Decimals are utilized to communicate the entire number and fraction together. Here, we will isolate the entire number from the division by placing a “.”, which is known as a decimal point. For example: in decimal number 15.67, 15 is the whole number and 67 is the decimal part.

Percentage

The word percent just means per 100 and is signified by  ‘%’. In this manner, when 100 is multiplied by a decimal worth then the digits get moved by two places to its right and the percentage value is gained. For example, the percentage of 1.5 is 150 %.

Conversion of decimal to a percent

There are a few steps to convert a decimal into a percentage.

  • Step 1: Multiply the decimal number by 100 then it gets shifted by two decimal points gets shifted to its right by two places.
  • Step 2: Finally add the percentage symbol i.e; % to the resultant number. For example, 0.38 = 0.38 × 100 = 38 %.

Decimal to Percent chart

Decimal                  Percentage         
0.01 1%
0.05 5%
0.07 7%
0.1 10%
0.15 15%
0.25 25%
0.5 50%
1 100%
1.5 150% 

Sample Questions

Question 1: Convert decimal number 4.5 into a percentage.

Solution:

Given decimal number is 4.5 

Multiply 4.5 by 100 and attach % symbol to it.

4.5 × 100 = 450% .

Question 2: A student got 70 marks out of Hundred in his maths test. Convert it into a percentage.

Solution:  

Given, 70/100 which is equivalent to decimal number 0.7

Multiply 0.7 by 100 and attach % symbol to it.

0.7 × 100 = 70 %

Question 3: Convert the fraction 2/5 into a percentage.

Solution: 

Firstly, convert 2/5 into decimal number. which is equivalent to 0.4

Now multiply 0.4 by 100 and attach % symbol to it.

0.4 × 100 = 40%

Question 4: What is 20% of 50?

Solution:

20% is equivalent to 20/100 i.e; 1/5

Multiply 1/5 with 50 

1/5 × 50 = 10. 

Question 5: Convert decimal number 1.43 into a percentage.

Solution:

Given decimal number 1.43 

Multiply 1.43 by 100 and attach % symbol to it.

1.43 × 100 = 143%

Question 6: Convert decimal number 9.8 into a percentage.

Solution:

Given decimal number is 9.8

Multiply 9.8 by 100 and attach % symbol to it.

9.8 × 100 = 980% 

Question 7: Convert the fraction 1/4 into a percentage.

Solution:

Firstly, convert 1/4 into decimal number. which is equivalent to 0.25

Multiply 0.25 by 100 and attach % symbol to it.

0.25 × 100 = 25%           

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