Percentage into Decimal

How to convert a given percentage into decimal?

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

Step I: Obtain the percentage which is to be converted into decimal

Step II: Remove the percentage sign (%) and divide it by 100.

Step III: Express the fraction in the decimal form

Remember: Remove % sign and move the decimal two places to the left.

1. Express each of the following percentage as decimals:

(i) 23 % = 23/100 = 0.23

(ii) 16 % = 16/100 = 0.16

(iii) 47 % = 47/100 = 0.47

(iv) 1 % = 1/100 = 0.01

(v) 25 % = 25/100 = 0.25

Note: Decimal shifts by 2 places to the left.

2. Express each of the following decimal percentage as decimals:

(i) 1.75 % = 1.75/100 = (1.75 × 100)/(100 × 100) = 175/10000 = 0.0175

(ii) 7.5 % = 7.5/100 = (7.5 × 10)/(100 × 10) = 75/1000 = 0.075

(iii) 31.5 % = 31.5/100 = (31.5 × 10)/(100 × 10) = 315/1000 = 0.315

(iv) 0.18 % = 0.18/100 = (0.18 × 100)/(100 × 100) = 18/10000 = 0.0018

(v) 231.2 % = 231.2/100 = (231.2 × 10)/(100 × 10) = 2312/1000 = 2.312

3. Express each of the following fraction percentage as decimals:

(i) 4/5 % = 0.8 % = 0.8/100 = (0.8 × 10)/(100 × 10) = 8/1000 = 0.008

(ii) 9/20 % = 0.45 % = 0.45/100 = (0.45 × 100)/(100 × 100) = 45/10000 = 0.0045

(iii) 1/80 % = 0.0125 % = 0.0125/100 = (0.0125 × 10000)/(100 × 10000) = 125/1000000 = 0.000125

(iv) 13/50 % = 0.26 % = 0.26/100 = (0.26 × 100)/(100 × 100) = 26/10000 = 0.0026

(v) 44/5 % = 8.8 % = 8.8/100 = (8.8 × 10)/(100 × 10) = 88/1000 = 0.088

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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