Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Ratio and Proportion >> Ratio to Percentage >>

## Ratio to Percentage

 Ratio as Fraction Equivalent Ratios Proportion Terms (Proportion) Ratio to Percentage

Before you study this concept, you are adviced to read:

What is Ratio ?
What is Percentage ?
What are Terms of Ratio ?
How to Convert Fraction to Percentage ?

Steps of converting Ration to Percentage are as follows:

• 1) Calculate Sum of terms of given ratio
• 2) Represent respective Term of Ratio in Fractional form
• 3) Convert Fractional Form into percentage

Example 1: Convert Ratio 4 : 1 into percentage.
Solution: Terms of given ratio are:
First Term = 4
Second Term = 1

Steps of Conversion are as follows:

• Step 1 : Calculate Sum of terms of given ratio and we get:
4 + 1 = 5
Therefore sum of terms of given ratio = 5

• Step 2 : Represent respective Term of Ratio in Fractional form
Fractional Form of First Term = First Term / Sum of terms
Put value of first term and sum of terms from above and we get:
= 4/5
Therefore, Fractional Form of First Term = 4/5

Fractional Form of Second Term = Second Term / Sum of terms
Put value of second term and sum of terms from above and we get:
= 1/5
Therefore, Fractional Form of Second Term = 1/5

• Step 3 : Convert Fractional Form into percentage
Percentage of First Term = Fractional Form of First Term x 100 %
Put value of Fractional Form of First Term from above and we get:
= (4/5) X 100
Solve the above expression and we get:
= 80
Therefore, Percentage of First Term = 80%

Percentage of Second Term = Fractional Form of Second Term x 100 %
Put value of Fractional Form of Second Term from above and we get:
= (1/5) X 100
Solve the above expression and we get:
= 20
Therefore, Percentage of Second Term = 20%

Hence, 4 : 1 = 80% : 20%

Example 2: Express Ratio 4 : 6 into percentage form.
Solution: Terms of given ratio are:
First Term = 4
Second Term = 6

Steps of Conversion are as follows:
• Step 1 : Calculate Sum of terms of given ratio and we get:
4 + 6 = 10
Therefore sum of terms of given ratio = 10

• Step 2 : Represent respective Term of Ratio in Fractional form
Fractional Form of First Term = First Term / Sum of terms
Put value of first term and sum of terms from above and we get:
= 4/10
Therefore, Fractional Form of First Term = 4/10

Fractional Form of Second Term = Second Term / Sum of terms
Put value of second term and sum of terms from above and we get:
= 6/10
Therefore, Fractional Form of Second Term = 6/10

• Step 3: Convert Fractional Form into percentage
Percentage of First Term = Fractional Form of First Term x 100 %
Put value of Fractional Form of First Term from above and we get:
= (4/10) X 100
Solve the above expression and we get:
= 40
Therefore, Percentage of First Term = 40%

Percentage of Second Term = Fractional Form of Second Term x 100 %
Put value of Fractional Form of Second Term from above and we get:
= (6/10) X 100
Solve the above expression and we get:
= 60
Therefore, Percentage of Second Term = 60%

Hence, 4 : 6 = 40% : 60%

• Follow us on :

### Study More Solved Questions / Examples

Terms & Conditions