If you want to know how to calculate percentage increase in your marks, start with a simple example: you scored 320 marks last time and 384 marks this time. How much did you improve? The answer is not simply “64 marks”. To compare improvements fairly, especially across different totals or different subjects, you need percentage increase. It tells you how much your score grew compared with where you started.
Percentage increase is used by students, teachers and parents to track progress over time. It is also useful in everyday life, for comparing prices, salaries and results. This guide explains how to calculate percentage increase in your marks, with the formula, clear examples, and the mistakes students most often make.
The Formula for Percentage Increase
The formula has three simple steps:
Percentage Increase = (New Value − Old Value) ÷ Old Value × 100
First, find the increase by subtracting the old marks from the new marks. Second, divide that increase by the old marks. Third, multiply by 100 to turn the result into a percentage.
Notice that you always divide by the old value, not the new value. The old value is your starting point, so the increase is measured against it. Dividing by the new value is the most common mistake, and it gives a smaller, wrong answer.
Example 1: Marks Out of the Same Total
Suppose Aarav scored 320 out of 500 in his first term, and 384 out of 500 in his second term. His increase is 384 − 320, which is 64 marks. Divide 64 by the old value, 320, to get 0.2. Multiply by 100 to get 20%. Aarav’s marks increased by 20%.
Now suppose his friend Meera scored 400 out of 500 first, and 440 out of 500 next. Her increase is 40 marks, which is smaller than Aarav’s 64 marks. But her percentage increase is 40 ÷ 400 × 100, which is 10%. Even though Aarav’s increase in marks was larger, his percentage increase was also larger, because he started from a lower score. Percentage increase makes the comparison fair.
Example 2: Percentage Scores
The same method works when you compare percentages. Suppose you scored 55% in your last examination and 66% in the next one. Your increase is 66 − 55, which is 11 percentage points. Your percentage increase is 11 ÷ 55 × 100, which is 20%.
This is an important distinction. Your marks went up by 11 percentage points, and that is a 20% increase on your previous score. Do not confuse the two. The correct statements are “my percentage rose by 11 percentage points” and “my score increased by 20%”.
Worked Examples in a Table
| Old Marks | New Marks | Increase | Percentage Increase |
|---|---|---|---|
| 250 out of 500 | 300 out of 500 | 50 | 20% |
| 400 out of 500 | 460 out of 500 | 60 | 15% |
| 60 out of 100 | 75 out of 100 | 15 | 25% |
| 72% overall | 81% overall | 9 points | 12.5% |
Check the last row: 9 ÷ 72 × 100 is 12.5%. The same increase in percentage points can mean a different percentage increase, depending on the starting score. That is why the starting value matters.
What If Your Marks Went Down?
If your new marks are lower than your old marks, the same formula gives a negative answer, which is a percentage decrease. For example, if you scored 400 marks first and 360 marks next, the change is 360 − 400, which is −40. Divide −40 by 400 and multiply by 100 to get −10%. Your marks decreased by 10%.
A decrease does not always mean you studied less. The paper may have been harder, or the total marks may have changed. Always check that both scores are out of the same total before you compare them. If the totals are different, compare percentages, not raw marks.
Using Percentage Increase to Set a Target
You can also use the formula in reverse to set a target. Suppose you scored 300 out of 500, and you want to improve by 25%. Your target increase is 25% of 300, which is 75 marks. So your target score is 300 + 75, which is 375 out of 500.
This is a useful way to set a study goal. Instead of choosing a round number such as 400, choose a percentage improvement that is realistic for the time you have. A 10% to 20% improvement over one term is a good target for most students. A 50% improvement may be possible over a longer period, but it needs a clear plan.
Track your percentage increase after each test. If it is rising steadily, your study method is working. If it is flat or falling, look at which subjects are holding you back and change your plan for those subjects.
Common Mistakes to Avoid
The first mistake is dividing by the new value instead of the old value. Always divide by the starting score. The second mistake is forgetting to multiply by 100, which leaves you with a decimal such as 0.2 instead of 20%.
The third mistake is comparing marks out of different totals. If one test was out of 50 and the next was out of 100, convert both to percentages first, then calculate the increase. The fourth mistake is confusing percentage points with percentage increase, as explained above.
Finally, remember that a large percentage increase from a low starting score can look impressive but still leave you below your target. A student who improves from 20% to 40% has increased by 100%, but still needs to pass. Use percentage increase together with your actual score to judge your progress.
Conclusion
How to calculate percentage increase in your marks is simple: subtract the old marks from the new marks, divide by the old marks, and multiply by 100. Use the same total for both scores, or compare percentages. Keep the difference between percentage points and percentage increase clear, and use the result to track your progress and set realistic targets. A steady percentage increase, term after term, is one of the clearest signs that your preparation is working.