Percentage Values are usually expressed as Whole Numbers and you need to write them as Ratios at times. To do so you need to be aware of the Percentage to Ratio Conversion. To help you out with this we have provided the Step by Step Procedure to Convert between Percentage to Ratio along with Solved Examples in the coming modules.

How to Convert Percentage to Ratio?

Go through the below-listed guidelines for converting percentage to ratio. They are as under

Step 1: Rewrite as a Decimal

The first and foremost step is to rewrite the percentage as a Decimal Number. If the Percentage is already in Decimal you need not go with this step. Or else simply divide the percentage value by 100 and remove the % sign.

Step 2: Convert to a Fraction

Change the Decimal Value to Fraction by simply keeping the decimal value obtained over 1 to get Fraction. If the Decimal Number in the fraction’s numerator isn’t a whole number simply multiply with 10 till the numerator and denominator is a whole number. Reduce the fraction to the simplest form if required.

Step 3: Rewrite as Ratio

Rewrite the fraction obtained in the earlier step as Ratio simply by replacing the fraction bar with a colon symbol in between.

Solved Examples on Percentage to Ratio

1. Convert 140% to Ratio?

Solution:

Step 1: Firstly convert the percentage to decimal

= 140/100

= 1.4

Step 2: Change the decimal value obtained to Fraction. Simply place the decimal value over 1.

1.4/1 since the decimal value is not a whole number multiply it with 10 for both until it becomes a whole number.

(1.4*10)/(1*10)

= 14/10

Reduce the fraction obtained to its lowest form if needed

14/10 = 7/5

Step 3: Rewrite the fraction obtained in the earlier step as Ratio by simply removing the fraction bar and placing a colon between them.

7:5

Therefore, 140% converted to ratio is 7:5

2. Convert 200% to Ratio?

Solution:

Step 1: Convert Percentage to Decimal

= 200/100

= 2

Step 2: Change the Decimal Value to a Fraction by simply placing over 1.

2/1 Since the fraction’s numerator is a whole number you need not convert it to a whole number anymore. Reduce the fraction to the simplest form if required.

Step 3: Rewrite the fraction obtained in the earlier step as Ratio.

2:1

Therefore, 200% converted to Ratio is 2:1.

3. Convert 2.5% to Ratio?

Solution:

Step 1: Convert Percent to Decimal

2.5/100 = 0.025

Step 2: Change the Decimal Value to a Fraction by simply placing over 1.

0.025/1 since the fraction’s numerator is not a whole number multiply with 10 till the numerator and denominator become a whole number.

0.025*10/1*10 = 0.25/10

0.25/10 = 0.25*10/10*10 = 2.5/100

2.5/100 = 2.5*10/100*10 = 25/1000

Reduce the fraction obtained to the lowest form

25/1000 = 1/40

Step 3: Express the Fraction obtained as Ratio

1:40

Therefore, 2.5% to Ratio is 1:40