100 Is 50 Percent of What Number
To Find the Percent of a Given Number
What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90
So, 18% of 500 = \(\frac{18}{100}\) × 500 = 18 × 5 = 90
To find the percent of a given number let us consider some of the following examples.
1. Find 50% of 75.
Solution:
50% of 75
= 50 × 1/100 × 75
= 50/100 × 75
= (50 × 75)/100
= 3750/100
= 3750/100 ÷ 50/50
[Divide the numerator and denominator by 50]
= 75/2
2. What is 15% of 200?
Solution:
15% of 200
= \(\frac{15}{100}\) × 200
= 15 × 2
= 30
3. Find 12% of 250.
Solution:
12% of 250
= 12 × 1/100 × 250
= 12/100 × 250
= (12 × 250)/100
= 3000/100
= 3000/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 30
Answer: 30
4. Find 30% of 86.
Solution:
30% of 86
= 30 × 1/100 × 86
= 30/100 × 86
= (30 × 86)/100
= 2580/100
= 2580/100 ÷ 20/20
[Divide the numerator and denominator by 20]
= 129/5
5. Find 15% of 60.
Solution:
15% of 60
= 15 × 1/100 × 60
= 15/100 × 60
= (15 × 60)/100
= 900/100
= 900/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 9
Answer: 9
6. Find 21% of 200.
Solution:
21% of 200
= 21 × 1/100 × 200
= 21/100 × 200
= (21 × 200)/100
= 4200/100
= 4200/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 42
Answer: 42
7. What is 25% of 40?
Solution:
25% of 40
= \(\frac{25}{100}\) × 40
= \(\frac{100}{10}\)
= 10
8. Find 10% of 500.
Solution:
10% of 500
= 10 × 1/100 × 500
= 10/100 × 500
= (10 × 500)/100
= 5000/100
= 5000/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 50
Answer: 50
9. Find 6% of 1000.
Solution:
6% of 1000
= 6 × 1/100 × 1000
= 6/100 × 1000
= (6 × 1000)/100
= 6000/100
= 6000/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 60
Answer: 60
10. Find 80% of 120.
Solution:
80% of 120
= 80 × 1/100 × 120
= 80/100 × 120
= (80 × 120)/100
= 9600/100
= 9600/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 96
Answer: 96
11. What is 20% of 1500?
Solution:
20% of 1500
= 20 × 1/100 × 1500
= 20/100 × 1500
= (20 × 1500)/100
= 30000/100
= 30000/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 300
Answer: 300
12. What is 25% of 140?
Solution:
25% of 140
= 25 × 1/100 × 140
= 25/100 × 140
= (25 × 140)/100
= 3500/100
= 3500/100 ÷ 100/100
[Divide the numerator and denominator by 100]
= 35
Answer: 35
13.What is 24% of 230?
Solution:
24% of 230
= 24 × 1/100 × 230
= 24/100 × 230
= (24 × 230)/100
= 5520/100
= 5520/100 ÷ 20/20
[Divide the numerator and denominator by 20]
= 276/5
= 55 1/5
Answer: 55 1/5
14. What is 14% of 56?
Solution:
14% of 56
= 14 × 1/100 × 56
= 14/100 × 56
= (14 × 56)/100
= 784/100
= 784/100 ÷ 4/4
[Divide the numerator and denominator by 4]
= 196/25
15. What is 25% of 1 kg in grams?
Solution:
1 kg = 1000 g
25% of 1000 g
= \(\frac{25}{100}\) × 1000
= 250 g
Questions and Answers on Decimal into Percentage:
I. Find the value of the following:
(i) 30% of 100
(ii) 82% of 346
(iii) 20% of 50
(iv) 58% of 280
(v) 80% of 400
(vi) 12\(\frac{1}{2}\) of 900
Answers:
(i) 30
(ii) 283.72
(iii) 10
(iv) 162.4
(v) 320
(vi) 112.5
II. How much percent is each of the following?
(i) 5 of 50
(ii) 75 of 100
(iii) 20 of 400
(iv) 40 of 120
Answers:
(i) 10%
(ii) 75%
(iii) 5%
(iv) 33.33%
● Percentage
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
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100 Is 50 Percent of What Number
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