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