To find What Percent is One Number of Another Number

To find What Percent is One Number of Another Number | How to find what Percentage of a Number is Another Number?

Generally, students feel calculating percentage is a typical topic. Make it an easy concept with the help of this article. In the previous topic, we have discussed how to find the percent of a given number. Now on this page, we will know how to find what percent is one Number of another Number. The percentage is represented by %. The word percent means a number is part of a hundred. Go through the below questions and try to solve the problems and enhance your skills.

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How to find what Percentage One Number is of Another Number?

In order to calculate what percentage one number is of another number, the 5th grade students must follow some set of rules. They are as follows,
1. You start with the first number and then divide this by the number that you need to calculate the percentage of.
2. After that take the resulting number and move the decimal place to the right.
3. This will give you the percent.

Examples Determining What Percent One Number is of Another Number

Example 1.
What percent is 20 of 250?
Solution:
20/250 × 100
Cancel the numerator and denominator or divide by 10.
2/25 × 100
200/25
Cancel the numerator and denominator or divide by 25.
Then we get 8
The percent is 20 of 250 is 8%.

Example 2.
What percent is 2 of 20?
Solution:
2/20 × 100
Cancel the numerator and denominator or divide by 2.
1/10 × 100
100/10
Cancel the numerator and denominator or divide by 10.
Then we get 10
The percent is 20 of 250 is 10%.

Example 3.
What percent is 8 of 340?
Solution:
8/340 × 100
Cancel the numerator and denominator or divide by 4.
2/85 × 100
200/85
Cancel the numerator and denominator or divide by 8.
Then we get 2.35
The percent is 8 of 340 is 2.35%

Example 4.
What percent is 36 of 840?
Solution:
36/840 × 100
Cancel the numerator and denominator or divide by 4.
9/210 × 100
900/210
Cancel the numerator and denominator or divide by 10.
Then we get 4.28
The percent is 36 of 840 is 4.28%.

Example 5.
What percent is 8 of 32?
Solution:
8/32 × 100
Cancel the numerator and denominator or divide by 8.
1/4 × 100
100/4
Cancel the numerator and denominator or divide by 4.
Then we get 25
The percent is 8 of 32 is 25%.

Example 6.
What percent of 34 of 242?
Solution:
To find the percentage of 34 of 242 is
34/242
Cancel the numerator and denominator or divide by 2
17/121 × 100
1700/121
Then we get 14.04%
The percent of 34 of 242 is 14.04%

Example 7.
What percent of 84 of 284?
Solution:
To find the percentage of 84 of 284 is
84/284
Cancel the numerator and denominator or divide by 4
21/71 × 100
2100/71
Then we get 29.5%
The percent of 84 of 284 is 29.5%

Example 8.
What percent of 2 of 84?
Solution:
To find the percentage of 2 of 84 is
2/84
Cancel the numerator and denominator or divide by 2
1/42 × 100
100/42
Cancel the numerator and denominator or divide by 2
Then we get 2.3%
The percentage of 2 of 84 is 2.3%

Example 9.
What percent of 4 of 372?
Solution:
To find the percentage of 4 of 372 is
4/372
Cancel the numerator and denominator or divide by 4
1/93 × 100
100/93
Then we get 1.07%
The percentage of 4 of 372 is 1.07%

Example 10.
What percent of 10 of 1000?
Solution:
10/1000
Cancel the numerator and denominator or divide by 10
1/100 × 100
Cancel the numerator and denominator or divide by 100
Then we get 1%
The percentage of 10 of 1000 is 1%

FAQs on Expressing One Number as a Percentage of Another Number

1. How do I find out what percentage one number is of another?

If you want to know what percent A is of B, you simple divide A by B, then take the number and move the decimal place two spaces to the right. Thus you will get the percentage.

2. How do you calculate what percentage a number is of another number?

Let us take an example to calculate what percentage of 36 is 23.
x/100 = 23/36
x/100 × 100 = 23/36 × 100
x = 63.88

3. What is the percent of a number?

To calculate the percentage of a number when it is in decimal form, you have to multiply the decimal number by 100.

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