How to convert Decimal To Percent with Solved Examples

Decimal to percent conversion is very useful in number system. Decimal is derived from the Latin word Decimus which implies one-10th. The decimal framework has a base of 10. It is 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

A decimal number consists of Whole number part and Fractional part. It is 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

A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign (%). Percentages are commonly used to compare relative sizes, show proportions, and express probabilities.

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 percent

Below is steps to convert decimal to a percent.

• 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 Percentage Formula

The formula to convert a decimal to a percentage is:

Percentage=Decimal×100%

For example,

• Convert 0.25 to a percentage

0.25×100=25%

Decimal to Percent chart

Below is the Decimal to Percent conversion table.

Related Articles:

• Convert Fractions to Decimals
• Percentage Change – Formula, Examples, How to Find Percentage Change
• How to change a percent to a whole number?

Sample Questions on Decimal to Percent Conversion

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%           

Convert Decimal To Percent - Practice Problems

1. Convert 1.24 into percentage.

2. If Rajesh scored 67 marks on a class test of 80 marks, what is his percentage score?

3. Convert fraction 3/8 into percentage.

4. What is 18% of 37?

5. If Riya eats 5 candies out of 9, what is the percentage of candies remaining?

6. A box contains 16 apples, Rohan adds 5 apples to the box and eats 2, what is the percentage change in number of apples?

7. A fruit basket contains 3 types of fruits, 32% apples, 43% oranges, and x% mangoes, find x.

8. A box of pens cost 60 rupees, if its value falls by 40% and is then raised to 120% of the new value, what is the percentage increase or decrease from the original value?

9. The price of milk is 13 rupees/liter, Aman has a vessel of 25 liters, how much will it cost him to fill 60% of the vessel with milk?

10. A machine takes time 10s to process a item x, 25s for item y, and 20s for item z, if all three are processed simultaneously, what will be the percentage of processed item x with respect to processed item z after 100s?