To find the Percent of a Given Number

To find the percent of a given number: Students can know how to find the percent of a given number from this page. We know that a percentage is a fraction with numerator as 1 and denominator as 100 which means 1/100. The percentage is obtained when a particular number is multiplied by a percent. Usually, the percentage is a portion of the number. To understand the concept in depth we suggest you go through the below examples and learn the problems.

What is Percentage?

The word percent defines one part of a hundred. It is the ratio as a fraction of 100. It is denoted by %. The percentage is applied in different fields like to calculate profits, interest rates, tax, etc.

Also, See: Worksheet on Calculating Profit or Loss

How to Calculate Percentage of a Given Number?

In order to find the percentage of a given number, you have to follow the below steps.
1. Obtain the number from the given equation, say x.
2. Let the percent be p%.
3. Now change the equation in the form of P% of x
4. Now write them in the form of proportion as p/100 = ?/x
5. Now apply the cross multiplication method to find the unknown value.

Examples of finding Percentage of a Given Quantity

The following examples will help students to find the percentage of the given number.

Example 1.
Find 43% of 280?
Solution:
Given,
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
R = 43%
m = 280
43/100 × 280 = 120.4%

Example 2.
Find 80% of 2430?
Solution:
Given,
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
R = 80%
m = 2439
80/100 × 2430 = 1944%

Example 3.
Find 10% of 100?
Solution:
Given,
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
R = 10%
m = 100
10/100 × 100 = 10%

Example 4.
Find 32% of 120?
Solution:
Given,
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
R = 32%
m = 120
32/100 × 120 = 38.4%

Example 5.
Find 12% of 316?
Solution:
Given,
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
R = 12%
m = 316
12/100 × 316 = 47.92%

Example 6.
What is 50% of 1 kg in grams?
Solution:
we know that
1 kg = 1000 grams
50% of 1000 grams
50/100 × 1000
50 × 10
500 grams

Example 7.
What is 18% of 400?
Solution:
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
18/100 × 400
18 × 4 = 72

Example 8.
What is 75% of 100
Solution:
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
75/100 × 100 = 75

Example 9.
What is 25% of 200?
Solution:
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
25/100 × 200 = 50

Example10.
What is 6% of 500?
Solution:
We know that R% of m is equal to R/100 × m
Formula = R/100 × m
6/100 × 500 = 30

FAQs on How to Find the Percent of a Number

1. What is the formula to find the percentage of a given number?

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100.

2. What is 95% of 275?

95% = 95/100 = 0.95
275 × 0.95 = 261.25

3. What is 75% of 200 using proportion method?

75/100 = x/200
Now apply cross multiplication
100x = 75 × 200
x = 75 × 2
x = 150

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