Ratio into Percentage

How to convert a given ratio into percentage?

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

Step I: Obtain the ratio. Let the ratio be x : y

Step II: Convert the given ratio into the fraction x/y.

Step III: Multiply the fraction obtained in step II by 100 and put the percentage sign(%).

1. Express each of the following ratio into percentage:

(i) 6 : 5 = 6/5 = (6/5 × 100) % = 600/5 % = 120 %

(ii) 8 : 25 = 8/25 = (8/25 × 100) % = 32 %

(iii) 10 : 50 = 10/50 = (1/5 × 100) % = 20 %

(iv) 4 : 5 = 4/5 = (4/5 × 100) % = 80 %

(v) 7 : 25 = 7/25 = (7/25 × 100) % = 28 %

2. Convert each of the following ratios as fraction percentage:

(i) 20 : 70 = 20/70 = (20/70  × 100) %  = 2000/70 % = 200/7 %

(ii) 17 : 24 = 17/24 =  (17/24 × 100) %  = 1700/24 % = 425/6 %

(iii) 128 : 175 = 128/175 = (128/175 × 100) % = 512/7 %

(iv) 2 : 3 = 2/3 = (2/3 × 100) % = 200/3 %

(v) 1 : 15 = 1/15 = (1/15 × 100) % = 100/15 % = 20/3 %



3. Convert each of the following ratios into decimal percent:

(i) 1 : 8 = 1/8 = (1/8 × 100) % = 100/8 % = 12.5 %

(ii) 30 : 80 = 30/80 = (30/80 × 100) % = 3000/80 % = 75/2 % = 37.5 %

(iii) 5 : 8 = 5/8 = (5/8 × 100) % = 500/8 % = 125/2 % = 62.5 %

(iv) 11 : 16 = 11/16 = (11/16 × 100) % = 1100/16 % = 275/4 % = 68.75 %

(v) 8 : 125 = 8/125 = (8/125 × 100) % = 800/125 % = 32/5 % =  6.4 %

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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