# 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 %

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