Percent of a Number Formula

 In math, the data is represented in number that it integer value. All mathematics operations are performed based on number. We can calculate the percent of number by formula. The percent is indicating how many parts are blocked in hundreds. The representation symbol for percent is ‘%’. Now we are going to see about percent of a number formula.

Explanation for Percent of a Number Formula

Number in percent:

The number in percent is indicating the used portion of number in hundreds. The percent value is determined by multiplication of number with 100. The fraction representation of percent of a number is `25/100` % and the whole number representation is 25%.

Formula for percent of a number:

The percent of a number is calculated by the formula as Percent = (Observed value/Total value) x 100. The number is converted into percent as divide with total value and multiplied with 100. We can also represent the percent of a number in decimal and fraction also.

More about Percent of a Number Formula

Example problems for percent of a number formula:

Problem 1: Find out the percent of number 23 out of 150 by using formula.

Solution:

Given number is 23 and total number is 150.

Percent of number is P = (Observed value/Total value) x 100.

P = (`23/150` ) x 100 = 0.15 x 100 = 15.

Therefore, the percent of number 23 is 15%.

Problem 2: Find out the percent of number 47 out of 170.

Solution:

Given number is 47 and total number is 170.

Percent of number is P = (Observed value/Total value) x 100.

P = (`47/170` ) x 100 = 0.27 x 100 = 27.

Therefore, the percent of number 47 is 27%.

Exercise problems for percent of a number formula:

1. Find out the percent of number 80 out of 200.

Solution: The percent of number 80 is 40%.

2. Find out the percent of number 60 out of 120.

Solution: The percent of number 60 is 50%.



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