1. Percentage Conversion

2. What is percentage
The fraction with its denominator 100 is called a Percent.
Any ratio x : y, where y = 100 is called ‘Percent’.
Percent means “per hundred”
Symbol used for percent is %
Percentage Fraction Ratio
5:100 5%

3. Ratio Fraction Percentage
Express the shaded and unshaded portion in form of ratio, fraction and percentage
Example 1
Ratio Fraction Percentage
Shaded portion
56 out of 100
56:100
56%
Unshaded portion
34 out of 100
34:100
34%
Example 2
Ratio Fraction Percentage
Shaded portion
45 out of 100
45:100
45%
Unshaded portion
55 out of 100
55:100
55%

4. Convert Ratio to Percent
Example 1: Express the ratio 43:100 as percent.
Ratio Fraction Percentage
43%
43:100
Example 2: Express the ratio 8:100 as percent.
Ratio Fraction Percentage 8%
8:100

5. Convert Percent to ratio
Example 1: Express 57% as ratio
Percentage Fraction Ratio
57%
57:100
Example 2: Express 6% as ratio
Percentage Fraction Ratio 6%
6:100

6. Convert fraction to Percent
Step 1: Multiply given fraction by 100
Step1: Multiply given fraction by 100

7. Convert Mixed fraction to Percent
Step 1: Convert mixed fraction as improper fraction
Step2: Multiply given fraction by 100
Step 1: Convert mixed fraction as improper fraction
Step2: Multiply given fraction by 100

8. Convert Percent to fraction
Example 1: Express 12% as fraction
Step1: Divide the number by 100, write it in fraction form and then simplify fraction
Convert % to fraction
Simplify fraction
12%
Convert % to fraction
Simplify fraction

9. Convert Mixed Percent to fraction
Example 3: Express as fraction
Step 1: Convert mixed fraction as improper fraction
Step2: Divide the fraction by 100, write it in fraction form and then simplify fraction
Convert % to fraction
Simplify fraction

10. Convert Decimal to Percent
Step 1: Multiply decimal by 100
(0.07 x 100) % = 7%
Step 1: Multiply decimal by 100
(0.2 x 100) % = 20%
Step 1: Multiply decimal by 100
(0.342 x 100) % = 34.2%

11. Convert Percent to Decimal
Example 1: Express 25% as decimal
Step1: Divide the number by 100 and write it fraction form and then convert into decimal
Convert % to fraction
Convert fraction to decimal
0.25
12%
Example 1: Express 7% as decimal
Step1: Divide the number by 100 and write it fraction form and then convert into decimal
Convert % to fraction
Convert fraction to decimal
0.07 7%

12. Try these 1. Express 32 out of 100 as percentage , fraction and ratio
3. Express out of 100 as ratio