Subscribe to our YouTube channel for the latest videos, updates, and tips.


Convert Percentage into Decimal

We know that percentage represents parts per hundred. So, any number written as percent is a fraction with 100 as its denominator. We write the number as the numerator of a fraction and 100 in the denominator. The symbol % is not written in the fraction form. So, 75% is written as \(\frac{75}{100}\) = 0.75.


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.

Convert Percentage into Decimal Video

Subscribe to our YouTube channel for the latest videos, updates, and tips.


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 the percentage as fraction and in decimal form.

Percentage into Decimal
Percent into Decimal
Convert Percentage into Decimal

4. 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

Converting Percentage into Decimal Short Video

Expressing a Percent as Decimal:

Let us understand it by considering some more examples.

5. convert the following into decimals.

(i) 18%

(ii) 24%

(iii) 110%

(iv) 2%

Solution:

(i) 18% = \(\frac{18}{100}\) = 0.18

(ii) 24% = \(\frac{24}{100}\) = 0.24

(iii) 110% = \(\frac{110}{100}\) = 1.1

(iv) 2% = \(\frac{2}{100}\) = 0.02


Note: If we say that Matthew earned 365% profit, it means Matthew earned ₹ 365 per ₹ 100.


Questions and Answers on Percentage into Decimal:

I. Convert the following percentages to decimals:

(i) 5%

(ii) 13%

(iii) 20%

(iv) 75%

(v) 44%

(vi) 96%


Answers:

(i) 0.05

(ii) 0.13

(iii) 0.2

(iv) 0.75

(v) 0.44

(vi) 0.96

You might like these

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

From Percentage into Decimal to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 09, 25 02:37 AM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More

Worksheet on Fraction into Percentage

Worksheet on Percentage into Fraction

Worksheet on Percentage into Ratio

Worksheet on Ratio into Percentage

Worksheet on Percentage into Decimal

Worksheet on Percentage of a Number

Worksheet on Finding Percent

Worksheet on Finding Value of a Percentage

Worksheet on Percentage of a Given Quantity

Worksheet on Word Problems on Percentage

Worksheet on Increase Percentage

Worksheet on Decrease Percentage

Worksheet on increase and Decrease Percentage

Worksheet on Expressing Percent

Worksheet on Percent Problems

Worksheet on Finding Percentage