How to calculate Percentage of Marks
What does percentage mean?
In mathematics, a percentage is simply a number or ratio that represents a portion out of 100. It is used to compare values. In simple terms, a percentage is a way to express a part of a whole as a fraction out of 100.
What is the basic formula to find a student’s percentage of marks?
To find the percentage of marks obtained by a student, we use the following percentage calculation formula:
Percentage = (Obtained Marks / Total Marks) * 100
In the formula above, “obtained marks” represents the student’s score, and “total marks” represents the maximum possible marks for that particular exam. This formula is commonly used in schools, colleges, and universities to calculate the percentage of marks obtained by students.
Example of the percentage marks calculation:
A) For example, if a student has obtained 80 marks out of 100, we can calculate their percentage by dividing the marks obtained by the total marks and then multiplying the result by 100.
Obtained Marks = 80
Total Marks = 100
Percentage = (Obtained Marks / Total Marks) * 100 = 80%
B) Hence, the student has obtained 85% in their physics test.
C) As another example, if a student scored 38 out of 50 in an English exam, we can use the formula mentioned above to find their percentage.
Percentage of marks = (38 / 50) * 100 = 76%
This tells us that the student obtained 76% in the English exam.
What is the difference between percentage and fractions?
Both percentage of marks and fractions represent parts of a whole. However, percentages express a number out of 100, while fractions express a proportional relationship between two numbers.
On the other hand, fractions are also used to represent ratios between two numbers. Keep in mind that percentages are mostly used in finance and business, while fractions are commonly used in science and mathematics.
Marks to Percentage Chart
Below is a table that shows the marks for a specific exam and their corresponding percentages, based on a maximum of 200 marks.
| Marks on Test | Percentage |
| 20 | 10% |
| 40 | 20% |
| 60 | 30% |
| 80 | 40% |
| 100 | 50% |
| 120 | 60% |
| 140 | 70% |
| 160 | 80% |
| 180 | 90% |
| 200 | 100% |
How to find the percentage of any number?
It is very simple! You just need to use this formula:
Percentage = (Part / Whole) * 100
Here, “Part” represents the value you want to find the percentage of, and “Whole” represents the total value.
For example, if we want to find 33 out of 200, 33 is the “Part,” and 200 is the “Whole.” Now let’s apply the formula to calculate the percentage of the given number.
Percentage = (33 / 200) * 100 = 16.5%
Thus, 33 is 16.5% of 200.
Useful tips and tricks for calculating percentages
Using the following useful tips, calculating percentages of marks becomes very easy:
- To calculate 50% of any number, simply divide it by 2.
For example, 50% of 30 is 30/2 = 15. - To calculate a percentage greater than 100%, multiply the number by the percentage and then divide by 100.
For example, 170% of 40 is calculated as (170 / 100) * 40 = 68. - To calculate 25% of any number, divide it by 4.
By using these simple tips, we can quickly and accurately calculate percentages for a wide range of applications, such as grading exams or determining discounts or sales tax.
Conclusion:
There are many online percentage calculators available, and we are pleased to announce that we will soon be adding a percentage calculator to our website. With our exam percentage calculator, you can easily convert your exam scores into accurate percentages.
