To find what percent is one number of another number, let us consider some of the following examples.
1. What % is 25 of 200?
Solution:
(25/200) × 100
[Cancel the numerator and denominator or divide by 25; 25/200 ÷ 25/25]
= (1/8) × 100
= (1 × 100)/8
= 100/8
[Cancel the numerator and denominator or divide by 4; 100/8 ÷ 4/4]
= 25/2
= 12 1/2 %
2. What % is 95 out of 150?
Solution:
(95/150) × 100
[Cancel the numerator and denominator or divide by 5; 95/150 ÷ 5/5]
= (19/30) × 100
= (19 × 100)/30
= 1900/30
[Cancel the numerator and denominator or divide by 10; 1900/30 ÷ 10/10]
= 190/3
= 63 1/3 %
3. What % is 22 of 44?
Solution:
(22/44) × 100
[Cancel the numerator and denominator or divide by 22; 22/44 ÷ 22/22]
= (1/2) × 100
= (1 × 100)/2
= 100/2
[Cancel the numerator and denominator or divide by 2; 100/2 ÷ 2/2]
= 50%
4. What % is 30 of 150?
Solution:
(30/150) × 100
[Cancel the numerator and denominator or divide by 30; 30/150 ÷ 30/30]
= (1/5) × 100
= (1 × 100)/5
= 100/5
[Cancel the numerator and denominator or divide by 5; 100/5 ÷ 5/5]
= 20%
5. What % is 250 of 1200?
Solution:
(250/1200) × 100
[Cancel the numerator and denominator or divide by 50; 250/1200 ÷ 50/50]
= (5/24) × 100
= (5 × 100)/24
= 500/24
[Cancel the numerator and denominator or divide by 4; 500/24 ÷ 4/4]
= 125/6
= 20 5/6 %
These are the word problems where we need to find what Percent is one Number of another Number.
6. What % is 86 of 2580?
Solution:
(86/2580) × 100
[Cancel the numerator and denominator or divide by 86; 86/2580 ÷ 86/86]
= (1/30) × 100
= (1 × 100)/30
= 100/30
[Cancel the numerator and denominator or divide by 10; 100/30 ÷ 10/10]
= 10/3
= 3 1/3 %
7. What % of 5.6 is 560?
Solution:
(5.6/560) × 100
= (0.01) × 100
= 0.01 × 100
= 1%
8. What % is 60 of 150?
Solution:
(60/150) × 100
[Cancel the numerator and denominator or divide by 30; 60/150 ÷ 30/30]
= (2/5) × 100
= (2 × 100)/5
= 200/5
[Cancel the numerator and denominator or divide by 5; 200/5 ÷ 5/5]
= 40 %
9. What % is 900 of 2700?
Solution:
(900/2700) × 100
[Cancel the numerator and denominator or divide by 900; 900/2700 ÷ 900/900]
= (1/3) × 100
= (1 × 100)/3
= 100/3
= 33 1/3 %
10. What % is 43 of 172?
Solution:
(43/172) × 100
[Cancel the numerator and denominator or divide by 43; 43/172÷ 43/43]
= (1/4) × 100
= (1 × 100)/4
= 100/4
[Cancel the numerator and denominator or divide by 4; 100/4 ÷ 4/4]
= 25 %
These are the different types of word problems to find what percent is one number of another number.
To Convert a Percentage into a Fraction
To Convert a Fraction into a Percentage
To find the percent of a given number
To find what Per cent is one Number of another Number
To Calculate a Number when its Percentage is Known
5th Grade Numbers Page
5th Grade Math Problems
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