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How to Calculate Percentage of a Number

How to Calculate Percentage

Here I’m going to explain that How to Calculate Percentage of a number. You can find a percentage or work out the percentage given numbers and percent values. You can also know how to calculate percentage of marks obtained in your examinations. Know: How to Remove Password From PDF File

How to Calculate Percentage

The numbers that you will be converting into percentages can be given to you in 2 different formats, decimal and fraction. Decimal format is easier to calculate into a percentage. There are so many formulas for percentage problems available. You can think of the most basic idea as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Note: Let us explore the basic percentage problems. X and Y are numbers and P is the percentage:

How to Calculate Percentage of a Number

We can calculate percentage of a number using the percentage formula: P% * X = Y
Example: What is 10% of 150?

Solutions:

  1. Convert the problem to an equation using the percentage formula: P% * X = Y
  2. P is 10%, X is total value 150, so the equation is 10% * 150 = Y
  3. Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
  4. Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
  5. Do the math: 0.10 * 150 = 15, Y=15
  6. So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
Let us understand with another example how to find what percent of X is Y using the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Important The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Double check your answer with the original question: What percent of 60 is 12? 12/60 = .020, and multiplying by 100 to get percentage, 0.20 * 100 = 20%.

Hope the above mentioned Percentage formula helps you to find Percentage for a number as well as marks obtained in your 10th or 12th class examinations.

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