How to Calculate Percentage? Easy Tips and Tricks to Calculate Percentage, Solved Examples

What Is The Percentage?

Percentage is a way of expressing a number as a fraction of 100. It is a convenient and widely used method of comparison and measurement, especially in fields such as finance, statistics, and education.

Percentage is used to express the relationship between a part and a whole, where the whole is considered to be 100%. For example, if you have a pizza that is divided into 8 slices, and you eat 2 slices, you can say that you have eaten 25% of the pizza.

Percentages are also used to express change or comparison between two values. For example, if you earn $100 today and $120 tomorrow, you have experienced a 20% increase in your earnings.

Percentage is a useful tool in various areas of life, such as calculating interest on loans, comparing the performance of investments, determining grades in education, and analyzing data in research. Understanding how to calculate and interpret percentages is a valuable skill in many fields and everyday life.

How To Calculate Percentage?

Here are the steps for How To Calculate Percentage:

1. Determine the whole or total amount.
2. Determine the part or portion you want to find the percentage of.
3. Divide the part by the total.
4. Multiply the result by 100 to convert the answer to a percentage.
5. Add a percent sign ( % ) to the end of the answer to show it is a percentage.

Example: To find 25% of 80, divide 25 by 100 to get 0.25, then multiply 0.25 by 80 to get 20. So 25% of 80 is 20.

How Do I Calculate X Percent Of Y?

To calculate x percent of y, the following formula can be used:

x% of y = (x/100) * y

Where x is the percentage and y is the number that you want to calculate the percentage of.

For example, if you want to calculate 50% of 100, the calculation would be:

50% of 100 = (50/100) * 100 = 50

So, 50% of 100 is equal to 50.

Similarly, if you want to calculate 20% of 500, the calculation would be:

20% of 500 = (20/100) * 500 = 100

So, 20% of 500 is equal to 100.

In conclusion, to calculate x percent of y, simply divide the percentage (x) by 100 and multiply the result by the number (y) that you want to calculate the percentage of. This simple formula can be used to find the percentage of any number and is widely used in various fields such as finance, economics, and statistics.

How To Calculate Percentage Of A Number?

To calculate the percentage of a number, you need to first convert the percentage into a decimal by dividing it by 100. Then, you multiply that decimal by the number that you want to find the percentage of.

The formula for calculating the percentage of a number can be represented as:

(Percentage ÷ 100) × Number = Percentage of the Number

For example, if you want to find 50% of 200, you would do:

How To Calculate Body Fat Percentage?

Body fat percentage can be calculated using various methods including skinfold calipers, bioelectrical impedance analysis (BIA), and dual-energy x-ray absorptiometry (DXA). Skinfold calipers measure subcutaneous fat by pinching several areas of the skin, while BIA and DXA use electrical signals to estimate body fat. It is important to note that these methods can have a margin of error and may not be 100% accurate. 

To get the most accurate measurement, it is best to use multiple methods and track changes over time. Consulting a professional, such as a doctor or personal trainer, can also provide guidance on how to accurately measure body fat percentage.

How To Calculate Percentage Increase?

To calculate the percentage increase, you need to find the difference between the original value and the new value and then divide that difference by the original value and multiply the result by 100.

Here are the steps to calculate the percentage increase:

1. Determine the original value (V1) and the new value (V2).
2. Subtract the original value from the new value: (V2 - V1).
3. Divide the result from step 2 by the original value and multiply by 100: ((V2 - V1) / V1) x 100.
4. The result from step 3 is the percentage increase.

Example: If the original value is 100 and the new value is 120, the percentage increase would be calculated as: ((120 - 100) / 100) x 100 = 20%.

Note: To calculate the percentage decrease, use the same formula but with the original value as the new value and vice versa.

How To Take Out Percentage Of Marks?

To find the percentage of marks, divide the marks obtained by the total marks and multiply by 100.

Here are the steps:

1. Determine the marks obtained and the total marks.
2. Divide the marks obtained by the total marks: (marks obtained / total marks).
3. Multiply the result from step 2 by 100 to express the answer as a percentage: (marks obtained / total marks) x 100.
4. The result from step 3 is the percentage of marks obtained.

Example: If a student obtains 75 marks out of 100, the percentage of marks would be calculated as: (75 / 100) x 100 = 75%.

Note: The percentage is often used as a standard measure to compare the performance of students in different subjects or exams.

How To Find Percentage Of Marks Of All Subjects?

To find the percentage of marks for all subjects, add up the marks obtained in each subject and divide the total by the sum of the total marks for all subjects, then multiply the result by 100.

Here are the steps:

1. Determine the marks obtained and the total marks for each subject.
2. Add up the marks obtained for all subjects: marks obtained (total).
3. Add up the total marks for all subjects: total marks (total).
4. Divide the total marks obtained from step 2 by the total marks from step 3: (marks obtained (total) / total marks (total)).
5. Multiply the result from step 4 by 100 to express the answer as a percentage: (marks obtained (total) / total marks (total)) x 100.
6. The result from step 5 is the percentage of marks obtained for all subjects.

Example: If a student obtains 75 marks out of 100 in Subject A, 80 marks out of 100 in Subject B, and 70 marks out of 100 in Subject C, the percentage of marks for all subjects would be calculated as: (75 + 80 + 70) / (100 + 100 + 100) x 100 = 225 / 300 x 100 = 75%.

Note: This method gives a weighted average of the marks obtained in each subject, taking into account the number of marks available in each subject.

Percentage Calculation Solved Examples

Example 1:

Calculate 30% of 200.

Solution:

30% of 200 = (30/100) * 200 = 60

So, 30% of 200 is equal to 60.

Example 2:

Calculate 50% of 500.

Solution:

50% of 500 = (50/100) * 500 = 250

So, 50% of 500 is equal to 250.

Example 3:

Calculate 75% of 300.

Solution:

75% of 300 = (75/100) * 300 = 225

So, 75% of 300 is equal to 225.

Example 4:

Calculate 40% of 800.

Solution:

40% of 800 = (40/100) * 800 = 320

So, 40% of 800 is equal to 320.

In conclusion, these examples demonstrate how to calculate the percentage of any number. The formula used in these examples is (x/100) * y, where x is the percentage and y is the number that you want to calculate the percentage of. This simple formula is widely used in various fields such as finance, economics, and statistics.

How To Calculate Percentage - FAQs