Percentage into Ratio

How to convert a given percentage into ratio?

We will follow the following steps for converting a percentage into a ratio:

Step I: Obtain the percentage.

Step II: Convert the given percentage into fraction by dividing it by 100 and removing percentage symbol (%).

Step III: Reduce the fraction obtained in step II in the simplest form.

Step IV: Write the fraction obtained in step III as a ratio.

1. Express each of the following percentage as ratios in the simplest form:

(i) 46 % = 46/100 = 23/50 = 23 : 50

(ii) 20 % = 20/100 = 1/5 = 1 : 5

(iii) 125 % = 125/100 = 5/4 = 5 : 4

(iv) 34% = 34/100 = 17/50= 17 : 50

(v) 1 % = 1/100 = 1 : 100


2. Express each of the following fraction percentage into ratio in lowest term:

(i) 3/4 % = 3/4 × 1/100 = 3/400 = 3 : 400

(ii) 62/3 % = 20/3 % = 20/3 × 1/100 = 20/300 = 1 : 15

(iii) 3/5 % = 3/5 × 1/100 = 3/500 = 3 : 500

(iii) 62/5 % = 32/5 % = 32/5 × 1/100 = 32/500 = 8/125 = 8 : 125

(iv) 53/8 % = 43/8 % = 43/8 × 1/100 = 43/800 = 43 : 800


3. Express each of the following decimal percentage as ratios in the simplest form:

(i) 16.5 % = 165/10 % = 165/10 × 1/100 = 165/1000 = 33/200 = 33 : 200

(ii) 0.4 % = 4/10 % = 4/10 × 1/100 = 4/1000 = 1/250 = 1 : 250

(iii) 2.5 % = 25/10 % = 25/10 × 1/100 = 25/1000 = 1/40 = 1 : 40

(iv) 10.10 % = 1010/100 % = 1010/100 × 1/100 = 1010/10000 = 101/1000 = 101 : 1000

(v) 1.2 % = 12/10 % = 12/10 × 1/100 = 3/250 = 3 : 250

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage





8th Grade Math Practice

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