Calculating the percentage of marks is a straightforward process and is often required for academic evaluations, admissions, or job applications. Here's how you can do it:
Formula for Percentage Calculation
To calculate the percentage of marks, use the following formula:
Percentage (%) = (Obtained Marks / Total Marks) × 100
This gives you a clear percentage to see your performance at a glance! Read on for tips and examples to make it even easier.
Percentage of Marks Calculator
Percentage of the marks calculator
Students often need to convert metrics into percentages for various real-life purposes, from final exam scores, scholarships, and visa application to pay hikes.
Calculate your percentage of marks before applying to ensure you meet university requirements, during the application process for accuracy, and for scholarship or visa applications.
Calculating the percentage of marks (Easy and Simple formula!)
Here's how to calculate the percentage of marks scored in different subjects or to evaluate academic performance / academic excellence.
Percentage of marks = (Total marks earned/marks available) * 100
Example: Calculating exam percentage Let's say you scored 57 on an English test out of 112 marks. The percentage of marks is calculated using the following formula:
So, you scored 51% on the test! |
Table of Contents
- Percentage of Marks Calculator
- Percentage of the marks calculator
- Calculating the percentage of marks (Easy and Simple formula!)
- What is a percentage?
- How to calculate percentage of marks for 12th class?
- How to calculate the percentage of 10th class marks??
- How to calculate percentage of class 12 CBSE 2024?
- How to calculate percentage of marks of your total marks, report card, HSC or SSLC?
- How to calculate percentage of CGPA, GPA, and SGPA
- Difference between percentage and percentile
- How to calculate percentage increase?
- How to calculate percentage decrease?
- How to calculate the percentage of a number?
- How to convert a fraction to a percentage?
- Understanding Percentage Error
- How to convert a decimal number into a percentage?
- Related percentage converter articles
- How to take the percentage of marks of all subjects?
- Frequently asked questions
- How to calculate the percentage of marks for 6 subjects?
- How to calculate percentage in class 12 in CBSE with 6 subjects?
- How to get the percentage of marks?
- How to find percentage of marks in all subjects?
- What is 40% of 70 marks?
- How do you calculate 40% of a mark?
- What is 35% of 70 marks?
- What is 20% of 50 marks?
- What is 80% of 50 marks?
- How to calculate percentage of marks of 10th class state board?
- How to calculate SSLC percentage?
- How to calculate percentage of marks of 5 subjects?
- How to find the percentage of two numbers?
- How to calculate percentage difference?
- How to convert percentages to decimals?
- How to calculate percentage of marks formula?
Before we move on to more formulas and percentage calculation, 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% (of total value).
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 24 people out of 100 attend university, the percentage of the same is 24%.
- 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 (percentage change) during inflation.
- Whether you are calculating budget percentages, tip percentages, or percentage changes in stock prices, having a firm grasp on percentage calculation is essential
Related articles
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 out of
- Multiply the result by 100 to get the percentage
Here’s the formula to understand how to calculate the 12th percentage.
Percentage of marks = (Sum of marks earned/Total marks available) * 100
If you’re wondering how to calculate the 12th percentage for 1200 marks, you can use the same formula.
Also read: How to convert SGPA to percentage?
How to calculate the percentage of 10th class marks??
The calculation of percentage for scores follows a similar formula for all grades.
To calculate the percentage of marks for 10th class marks, 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 as an Indian student, 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.
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.
How to calculate percentage of CGPA, GPA, and SGPA
Understanding your academic percentage is important for choosing the right program. Here’s a quick guide on converting CGPA, GPA, and SGPA into percentages.
CGPA to Percentage
To convert your Cumulative Grade Point Average (CGPA) to a percentage, simply multiply your CGPA by 9.5.
GPA to Percentage
To convert your Grade Point Average (GPA) to a percentage, multiply your GPA by 25.
SGPA to Percentage
To convert your Semester Grade Point Average (SGPA) to a percentage, use the formula:
Percentage = (SGPA*10) - 7.5.
This will help you understand your academic standing better in different grading systems!
Also read: How to convert CGPA to percentage?
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.”
- A percentile is a value in a data set that indicates the relative standing of a particular data point.
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%.
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How to calculate percentage increase?
Percentage increase is the ratio of increased value and the initial 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 initial value and a final 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 initial value = $50,000
The final value = $60,000
Percentage increase = (Final value - Initial value)/Initial 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 profit percentage.
Profit percentage = 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 initial value, and multiply the result by 100.
Percentage decrease = (Initial value - Final value)/Initial value x 100
For example, imagine someone's salary dropped from $30,000 to $25,000.
Here,
The initial value = $30,000
The final value = $25,000
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. |
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
Also read: SPPU SGPA to percentage
How to convert a fraction to a percentage?
There are different methods to convert fraction form to percentages. Before we proceed with the calculations, let’s learn the difference between a percentage and a fraction form. Understanding these concepts will help you solve problems more effectively.
What is the difference between a percentage and a fraction form?
| Percentage | Fraction |
|---|---|
| A percentage is a number that represents a fraction of 100. | A fraction, on the other hand, is a number that represents a part of a whole. |
| For example, 50% of something is half of it. | For example, 1/2 of something is one out of two parts. |
| When you're working with percentages, remember that 100% represents the entire amount. | When you're working with fractions, it's important to remember that the denominator represents the whole amount. |
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%.
How to calculate percentage change
Many students often wonder how to find percentage change, as it helps them analyse fluctuations in their academic performance.
You can use a simple formula:
Percentage Change = ((New value- Old value)/ Old value)*100
Example: Suppose a student scored 75% in the first term, and then their score increased to 88%. To calculate the change in percentage: 1. Identify the old value (75) and the new value (88). 2. Apply the formula: Percentage Change = ((88- 75)/ 75)100 = (13/75)*100 =17.333 Thus, the percentage change in the score is approximately 17.33%. |
Also read: SPPU CGPA to percentage
Understanding Percentage Error
Percentage error measures how close an estimated value is to the actual value, calculated using the formula:
Percentage Change = ((Estimated value- Actual value)/ Actual value)*100
Example:
A 10th-grade student estimated they would score about 95% on their final exam, but the actual result was 87%. To find the percentage error:
- Identify the estimated value (95) and the actual value (87).
- Apply the formula:
Percentage error = ((95-87)/87)100= (8/87)*100= 9.20%
Therefore, the percentage error is approximately 9.20%.
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How to convert a decimal number into a percentage?
Converting a decimal number into a percentage might look complex, but it is simple.
Multiply the decimal form 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 number = Decimal number 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 form, whether small or large.
Important percentage conversions
| Percentage | Fraction | Decimal |
|---|---|---|
| 50% | 1/2 | .0.5 |
| 33.33% | 1/3 | 0.33 |
| 25% | 1/4 | 0.25 |
| 20% | 1/5 | 0.2 |
| 10% | 1/10 | 0.1 |
| 5% | 1/20 | 0.05 |
| 40% | 4/10 | 0.4 |
| 60% | 6/10 | 0.6 |
| 70% | 7/10 | 0.7 |
| 80% | 8/10 | 0.8 |
| 90% | 9/10 | 0.9 |
Related percentage converter articles
- Andhra University CGPA to percentage
- SRM University CGPA to Percentage
- CGPA to percentage calculator for DU
- Mumbai University CGPA to percentage
How to take the 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 the 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: First 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.
Key takeaways
- You can use various methods to calculate percentages from CGPA, GPA, and SGPA.
- Learn about the step-by-step methods for calculating percentages for different Indian and international education systems.
- Use the percentage calculator for quick calculations with total marks, individual subjects, or specific scores.
Frequently asked questions
How to calculate the 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 for Indian 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 subject, then you can add up all of your percentages and divide by the number of subjects.
For example, if you have six subjects and your percentages are 90%, 85%, 75%, 86%, 72% and 80%, then your average would be: Percentage calculation = ((90 + 85 + 75 + 86 + 72 + 80)/6) Percentage = 488/6 = 81.3% |
- If you only know your letter grade for each class in your school, then you can use a conversion chart to find what percentage that grade corresponds to.
As you can see, there are a few different ways to calculate your percentage of marks, depending on the information you have.
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% |
How to get the 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 form 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 120 in maths. Here’s how you can find the percentage of this subject. Maths percentage = (60/120) x 100 Maths percentage = 0.5 x 100 = 50% |
What is 40% of 70 marks?
40% of 70 is 28. ((40/100)*70))
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
Marks obtained = Decimal x Total marks
For example, if you're trying to find 40% of 80 marks, follow the below steps to obtain the result. Decimal = 40/100 = 0.4 Once you have the decimal, multiply it by the total marks. Marks obtained = 0.4 x 80 = 32 So 40% of 80 is 32 marks. |
What is 35% of 70 marks?
35% of 70 is 24.5 marks.
What is 20% of 50 marks?
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 total score 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
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