How to calculate percentage of marks: A comprehensive guide

Students often need to convert metrics into percentages for various purposes, from exam scores to pay hikes.

Calculating the percentage of marks (Easy formula!)

The percentage of marks is calculated using the following formula:

Percentage of marks = (Total marks earned/marks available) * 100

Example: Calculating percentage on a test

Let's say you scored 57 on a test out of 112 marks. Here's how to find your percentage:

• Divide marks earned by total marks: 57 / 112 = 0.51
• Multiply by 100 to get percentage: 0.51 x 100 = 51%

So, you scored 51% on the test!

Also read: How to convert SGPA to percentage?

Before we move on to more formulas and conversions, let’s understand what a percentage is.

What is a percentage?

A percentage is a way of expressing a part of something out of a whole, written as "%".  Imagine cutting a pie into 100 slices. If you have 20 slices, that's 20%.

Before we move on to formulas and conversions, let’s understand what a percentage is.

• Percentage is a unit of proportion represented as a fraction of 100. For example, if 20 people out of 100 attend university, the percentage of the same is 20%.
• Learning to calculate percentages can be very useful in many real-world situations. Percentages are vital in financial areas like bank interest rates, shopping discounts, and percentage increases and decreases during inflation.

How to calculate percentage of marks for 12th class?

To calculate the percentage of marks for 12th class, take the total marks you earned, and divide by the number of marks available. Multiply this figure by 100, which will be your percentage. Please find the same steps below:

• Add all the marks that you obtained in all the subjects
• Divide the sum of marks obtained by the total number of marks
• Multiply the result by 100 to get the percentage

Here’s the formula to understand how to calculate 12th percentage.

Percentage of marks = (Sum of marks earned/Total marks available) * 100

If you’re wondering how to calculate 12th percentage for 1200 marks, you can use the same formula.

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How to calculate percentage of marks of 10th class 2024?

The calculation of percentage for scores follows a similar formula for all grades. 

To calculate the percentage of marks for 10th class, take the sum of marks you earned from all the subjects and divide it by the number of marks available. Multiply this figure by 100, which will be your percentage. Here’s the formula.

Percentage of marks = (Total marks obtained/Total marks) x 100

How to calculate percentage of class 12 CBSE 2024?

To calculate the CBSE 12th grade percentage, take the marks you earned and divide them by the total number of marks available. Then, multiply the result by 100 to get your percentage.

How to calculate plus two percentage?

You can use the formula below to understand how to calculate plus two percentage.

Percentage of marks = (Total marks obtained/Total marks) x 100

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How to calculate percentage of marks of your total marks, report card, HSC or SSLC?

To calculate your percentage of marks, divide your marks by the total number of marks possible. Multiply that number by 100 to get your percentage.

For example, if you got 80 out of 100 in a specific subject, your calculation would look like this:

Percentage = (Marks earned/total marks available) x 100 = 80/100 x 100 = 80%.

So, you would have earned an 80% on the exam.

Difference between percentage and percentile

• A percentage is a ratio of two quantities measured out of 100. The term percent is derived from the Latin word "per centum," which means “by the hundred.”

For example, if 60% of students in a class are female, then there are 60 females out of 100 students. In other words, the quantity of females is 60/100 of the total number of students in the class.

• Percentile is a statistic that measures the value below a certain percentage of specific values. The percentile rank is a standard metric to report results from competitive exams such as college entrance tests.

For instance, if the 95th percentile score on a test is 80%, 95% of test takers score below 80%.

Also Read: How to convert CGPA to percentage?

How to calculate percentage increase?

Percentage increase is the ratio of increased value and the original value in the form of a percentage. Calculating the percentage increase can be done in a few simple steps.

You're given two numbers, an original value and a new value, you should find the difference between the two figures. You can calculate this by subtracting the lower number from the higher one.

For example, a person’s salary has increased from $50,000 to $60,000.

Here,

The original value = $50,000

The new value = $60,000

Percentage increase = (New value - Original value)/Original value x 100

To find the difference, we take the highest figure out of these two numbers and subtract the lowest number.

Difference = $60,000 - $50,000 = $10,000

You then use this figure and divide it by the original number.

$10,000/$50,000 = 0.2

Then, multiply the result by 100 to get the percentage increase.

Percentage increase = 0.2 x 100 = 20%

So the percentage increase, in this case, is 20%.

The steps to obtain a percentage increase could be summarised as follows:

Step 1: Find the difference (Highest number - lowest number)

Step 2: Divide the difference by the original number (Difference/Original number)

Step 3: Multiply the result by 100 (Result x 100).

Here’s another example,

The original value = 800

The new value = 1000

Percentage increase = (New value - Original value)/Original value x 100

Percentage increase = ((1000 - 800)/1000) x 100 = (200/1000) x 100

= 0.2 x 100 = 20%

Also read: How to convert CGPA to percentage in RGPV?

How to calculate percentage decrease?

Percentage decrease depicts the loss of a value in terms of a percent. Here are the steps to calculate the percentage decrease.

Find the difference between the two numbers, divide the difference by the original value, and multiply the result by 100.

Percentage decrease = (Original value - New value)/Original value x 100

For example, imagine someone's salary dropped from $30,000 to $25,000.

Here,

The original value = $30,000

The new value = $25,000

Percentage decrease = (Original value - New value)/Original value x 100

We first want to find the difference between the two figures by taking the highest figure and subtracting the lowest figure.

Difference = $30,000 - $25,000 = 5,000

Then, divide the difference by the original number.

$5,000 / $30,000 = 0.17

Finally, we multiply the result by 100 to get the percentage decrease.

Percentage decrease = 0.17 x 100 = 17%

So the percentage decrease is 17%.

The percentage decrease formula would follow this process:

Percentage decrease = ((30000 - 25000)/30000) x 100

= (5000/30000) x 100

= 0.17 x 100 = 17%

The steps to obtain a percentage decrease are as follows:

Step 1: Find the difference (Highest number - lowest number)

Step 2: Divide the difference by the original number (Difference/Original number)

Step 3: Multiply the result by 100.

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How to calculate the percentage of a number?

To calculate the percentage of any number, you should divide the number by 100 and then multiply it by the desired percentage.

Percentage of a number = (Original number/100) x Percentage

For example, to get 50% of 60, we would divide 60 by 100 to get 0.6 and then multiply that by 50 to get 30. The final answer would be 30. Here’s how.

Percentage of a number = (60/100) x 50 = 0.6 x 50 = 30

How to convert a fraction to a percentage?

There are different methods to convert fractions to percentages. Before we proceed with the calculations, let’s learn the difference between a percentage and a fraction. Understanding these concepts will help you solve problems more effectively.

What is the difference between a percentage and a fraction?

How to convert a fraction into a percentage?

• The first method is to multiply the fraction by 100.

For example, if you want to convert the fraction ¾ to a percentage, multiply the fraction by 100, and you get 75%.

• There is another method where you can divide the fraction's numerator (top number) by the denominator (bottom number) and then multiply that answer by 100. 

For example, using the same fraction ¾, divide 3 by 4 to get 0.75 and multiply the number by 100 to also get 75%.

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How to convert a decimal into a percentage?

Converting a decimal into a percentage might look complex, but it is simple.

Multiply the decimal by 100. This will give you the number of cents. Then, add a "%" sign to designate that it is a percentage.

Percentage of a decimal = Decimal x 100

For example, if you have a decimal of 0.05, multiplying it by 100 would give you 5. To convert this to a percentage, you would add the "%" sign, giving you 5%.

Easy, right? This method can be used for any decimal, whether small or large.

Important percentage conversions

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How to find percentage of marks of all subjects?

The same formula applies to multiple subjects. Add all your marks and divide by the total possible marks, then multiply by 100.

How to calculate percentage of anything?

The same principle applies to anything! Want to know 30% of 80?

• Percentage = (Original Number / 100) x Desired Percentage
• Example: (80 / 100) x 30 = 24 (30% of 80 is 24)

How to remove percentage of marks?

To remove the percentage of marks, follow the below steps.

Step 1: Divide the achieved percentage by 100.

Step 2: Multiply the result by total marks.

Example:

If you scored 75% out of 100,

Removal of percentage: (75/100) x 100 = 75.

So, your mark is 75.

Frequently asked questions

How to calculate percentage of marks for 6 subjects?

There are different ways to calculate your percentage of marks. The calculation method you should use depends on the information you have. 

This can be useful to students wondering how to calculate percentage in class 12 in CBSE with 6 subjects.

• If you know your total marks for the semester and the weight of each class, then you can simply multiply your total marks by the weight of each class.

For example, if you have a total of 100 marks and your classes are weighted at 50%, 30%, 20%, 40%, 70%, and 85%, then your percentage would be:

Percentage = ((100 x 50) + (100 x 30) + (100 x 20) + (100 x 40) + (100 x 70) + (100 x 85))/600

Percentage = 295/6 = 49.17%

How to calculate percentage in class 12 in CBSE with 6 subjects?

If you only know your percentage for each class, then you can add up all of your percentages and divide by the number of classes.

For example, if you have six classes and your percentages are 90%, 85%, 75%, 86%, 72% and 80%, then your average would be:

Percentage = ((90 + 85 + 75 + 86 + 72 + 80)/6)

Percentage = 488/6 = 81.3%

• If you only know your letter grade for each class, then you can use a conversion chart to find what percentage that grade corresponds to.

For example, if you have six classes and your grades are A+, A, A, B+, A+ and B+, respectively. Then, using a conversion chart, you would find that those grades correspond to percentages of 96%, 90%, 90%, 86%, 93% and 87%. Therefore, your average would be

Percentage = ((96 + 90 + 90 + 86 + 93 + 87)/6)

Percentage = 542/6 = 90.3%

As you can see, there are a few different ways to calculate your percentage of marks, depending on the information you have.

How to take out percentage of marks?

To obtain the percentage of your marks, first convert the marks to a fraction. You can get the fraction by dividing the number of marks by the total number of marks possible. Here’s the formula to get the percentage of marks.

Percentage = (Marks earned/Total marks available) x 100

For example, if you have 80 out of 100 marks, your fraction would be 80/100. Then, convert this to a percentage by multiplying by 100.

Percentage = (80/100) x 100

Percentage = 0.8 x 100 = 80%

To make things easier, you can also access a calculator and use the percentage button. Divide the number of marks by the total number of marks possible, and then hit the percentage button. This will give you the answer in percentage form!

How to find percentage of marks in all subjects?

Obtaining the percentage for the marks you received is relatively simple. First, add up all the marks you've received for each subject. Then, divide this number by the total number of possible marks.

Percentage = (Marks earned/Total marks available) x 100

For example, let's say you got 60 out of 100 in maths and 80 out of 100 in English.

Here’s how you can find the percentage of these subjects.

Maths percentage = (60/100) x 100

Maths percentage = 0.6 x 100 = 60%

English percentage = (80/100) x 100

English percentage = 0.8 x 100 = 80%

What is 40% of 70 marks?

To get 40% of 70 marks, you need 28 marks. This is because 40% is the same as saying "40 out of 100," so you're looking for the equivalent portion of 70. You can set up a proportion and cross-multiply to solve for x

40/100 = x/70

x = 0.4 x 70

x = 28

So 40% of 70 is 28.

How do you calculate 40% of a mark?

To calculate 40% of a mark, you must first convert the percentage to a decimal. Here's how you can obtain the decimal value of 40%

Marks obtained = Decimal of percentage x Total marks

Decimal = Percentage/100

Decimal = 40/100 = 0.4

Once you have the decimal, multiply it by the total marks.

For example, if you're trying to find 40% of 80 marks, follow the below steps to obtain the result.

Marks obtained = Decimal x Total marks

Marks obtained = 0.4 x 80 = 32

So 40% of 80 is 32 marks.

What is 35% of 70 marks?

Here are the steps to obtain 35% of 70 marks.

Decimal = Percentage/100

Decimal = 35/100 = 0.35

Once you have the decimal, you can multiply it by the total number of marks.

Marks obtained = Decimal x Total marks

Marks obtained = 0.35 x 70 = 24.5

So 35% of 70 is 24.5 marks.

What is 20% of 50 marks?

20% of 50 marks

Decimal = Percentage/100

Decimal = 20/100 = 0.2

Marks obtained = Decimal x Total marks

Marks obtained = 0.2 x 50 = 10

So 20% of 50 is 10 marks.

Note: Remember, when working with percentages, it is essential to convert to a decimal first! Once you have the decimal, multiply it by the total marks.

What is 80% of 50 marks?

80% of 50 marks would be 40 marks. Here’s how.

The first step is to convert the percentage into decimal.

Decimal = Percentage/100

Decimal = 80/100 = 0.8

Multiply the decimal with the total subject score to get your marks obtained.

Marks obtained = Decimal x Total marks

Marks obtained = 0.8 x 50 = 40

So 80% of 50 is 40 marks.

How to calculate percentage of marks of 10th class state board?

To calculate the percentage of marks of the 10th class state board, divide the sum of obtained marks by total marks and multiply by 100.

Percentage = (Marks earned/total marks available) x 100

For example, consider that the sum of obtained marks for all subjects is 360, and the total marks are 500. Here is the calculation to obtain the percentage for the above example.

Percentage = (360/500) x 100

Percentage = 0.72 x 100 = 72%

How to calculate SSLC percentage?

To calculate SSLC percentage of marks, ensure you have the total marks possible for the exam and the marks you have obtained.

Then, divide your marks by the total number of marks possible. Multiply that number by 100 to get your percentage.

For example, if you got 80 out of 100 in a specific subject, your calculation would look like this:

Percentage = (Marks earned/total marks available) x 100 = 80/100 x 100 = 80%.

So, you would have earned an 80% on the exam.

How to calculate percentage of marks of 5 subjects?

To calculate the percentage of marks for five subjects, use the formula:

Percentage = (Total marks obtained/Total marks possible) x 100

For example, if a student scores 350 out of 500 in five subjects, the calculation would be:

Percentage = (350/500) x 100 = 70%

This means the student achieved a percentage score of 70% in the five subjects.

How to find the percentage of two numbers?

Percentage = (Number1/Number2) x 100

For instance, if you want to determine the percentage of 25 out of 50, the calculation would be:

Percentage = (25/50) x 100 = 50%

This means that 25 is 50% of 50.

How to calculate percentage difference?

Percentage difference = ((New value - Old value) / Old value) x 100

How to convert percentages to decimals?

Decimal = Percentage value / 100

How to calculate percentage of marks formula?

The formula to calculate the percentage of marks is:

Percentage = (Total marks obtained/Maximum possible marks) x 100

For example, if a student scores 450 out of a maximum of 600 marks, the calculation would be:

Percentage = (450/600) x 100 = 75%

This means the student achieved a percentage score of 75%.

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