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
= 37 ½
Answer: 37 ½
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
= 25 4/5
Answer: 25 4/5
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
= 7 21/25
Answer: 721/25
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%
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
From To find the percent of a given number 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.
Recent Articles
-
Word Problems on Area and Perimeter | Free Worksheet with Answers
Jul 26, 24 04:58 PM
word problems on area and perimeter -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 26, 24 04:37 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Perimeter and Area of Irregular Figures | Solved Example Problems
Jul 26, 24 02:20 PM
Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d… -
Perimeter and Area of Plane Figures | Definition of Perimeter and Area
Jul 26, 24 11:50 AM
A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles… -
5th Grade Math Problems | Table of Contents | Worksheets |Free Answers
Jul 26, 24 01:35 AM
In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…
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.