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Convert Percentage to CGPA formula: Indian students planning for admission to universities abroad or for work purposes are required to submit their academic performance and scores for eligibility. Majority of top universities abroad require academic scores in CGPA (Cumulative Grade Point Average) format. There is a need to convert percentages to CGPA for Indian students using the Percentage to CGPA calculator or manually through a formula, as Indian schools and universities typically provide academic results in percentages. International students must convert their percentage into CGPA to prepare a strong candidate's profile to study abroad in 2025. No worries! We have mentioned the quick formula involving a percentage to CGPA calculator in a hassle free way.
Simply, the widely used across universities and other institutes CGPA to percentage formula is your CGPA*9.5. Similarly, the percentage to CGPA can be calculated by percentage÷9.5. Hence, the CGPA conversions are quite simple for students. This article includes a comprehensive guide that offers a straightforward CGPA conversion formula as well as examples to check your accurate scores in CGPAs from percentages. The scaling system for conversion of percentages to CGPAs is (4.0 and 10.0). Let us now check the complete article for more information on how to convert CGPA into percentage including their formats, meanings, conversions, and all.
How to convert your percentage into GPA?
The CGPA stands for Cumulative Grade Point Average, which is used to measure the academic performance of a student in a specific course or academic year. It is the most convenient grading system that allows institutes to evaluate and select applicants without any complications of ranking. A CGPA is the average of all the GPAs achieved in a particular subject. The CGPA can either be graded (A, B, C, D, E or F) or on a scale of points (from 0.0 to 10.0) or both.
There is a simple formula to convert percentage to CGPA; we need to divide the gained percentage by 9.5 to evaluate the CGPA. This method is used on CBSE and several other boards as a percentage to CGPA converter. In addition, if the university requires a percentage as their entry requirement and the previous institute used the grading method, the student can change CGPA into percentage by multiplying the obtained grade score by 9.5.
Let's understand this with an example. Assume you achieve 86% overall in your academics and you need to convert percentage to CGPA. So, divide the obtained number by 9.5, resulting in approximately 9 to 9.1 CGPA.
Similarly, if the university requires the percentage, you can change CGPA into percentage by multiplying the score by 9.5.
For example, if the student scores 6 CGPA in the academic year, then the percentage will be 57% (6*9.5).
This is the only method used to evaluate the result in the percentage to CGPA calculator.
For Percentage to CGPA conversion out of 10 , here are the steps involved:
There might be cases where you need to convert percentage to a 4 Point CGPA. The simple yet widely used formula to convert Percentage to CGPA out of 4 is to divide their percentage by 25
If the student receives letter grades in the academic scorecard, then they can evaluate the UGC-approved grade points from the detailed table below:
Grades (letters) | Grade Points |
O (outstanding) | 10 |
A+ (Excellent) | 9 |
A (Very good) | 8 |
B+ (Good) | 7 |
B (Above average) | 6 |
C (Average) | 5 |
P (Pass) | 4 |
F (Fail) | 0 |
Ab (Absent) | 0 |
Now, we’ll compare the CGPA to GPA, as it is required if the student is applying to study abroad. Major countries like the US, UK and Canada need a GPA on a scale of 4, but in India, the grading system runs on a 10-point scale. Here, we will figure out how to convert a 10 Point CGPA to GPA.
The formula to calculate CGPA to GPA is listed below
For 10-scale CGPA to 4-scale GPA
4 point GPA = (CGPA scored /batch toppers CGPA)*4
For example, suppose you have scored 8 CGPA, then the score on 4 point GPA will be 3.2
GPA= (8/10)*4
GPA= 3.2
From the 10-point CGPA to the 7-point GPA
7 point GPA = (CGPA scored/highest CGPA)*7
For example: if the CGPA is 5 on a 10-point scale, then the GPA on a scale of 7 will be 3.5
GPA= (5/10)*7
GPA= 3.5
There are some more ways to calculate the grade points, like if the student needs their semester grades. Then, they can convert their percentage to SGPA or GPA. Before going forward with how to find percentage from SGPA, we need to understand the SGPA and its benefits.
In India, the total marks are generally based on a scale of 100, out of which the average mark attained by the top rankers (score holders) is 95 based on the data evaluated by the examination boards. Hence, 9.5 is chosen for the 10-point scale. The 10-point scale is mostly used in India and some Eastern countries. While countries like the USA and Canada use a 4-point scale, most Australian universities use a grade scale of 7 points.
Let us now check the conversions of percentages into CGPA on different scales. The scales used include 4-point, 5-point, and 10-point scales.
CGPA (10 Grade) | Percentage in 10 Grade Scale |
10.0 CGPA in percentage | 95%-100% |
9.9 CGPA in percentage | 94.05% |
9.8 CGPA in percentage | 93.10% |
9.7 CGPA in percentage | 92.15% |
9.6 CGPA in percentage | 91.20% |
9.5 CGPA in percentage | 90.25% |
9.4 CGPA in percentage | 89.30% |
9.3 CGPA in percentage | 88.35% |
9.2 CGPA in percentage | 87.40% |
9.1 CGPA in percentage | 86.45% |
9.0 CGPA in percentage | 85.50% |
8.9 CGPA in percentage | 84.55% |
8.8 CGPA in percentage | 83.60% |
8.7 CGPA in percentage | 82.65% |
8.6 CGPA in percentage | 81.70% |
8.5 CGPA in percentage | 80.75% |
8.4 CGPA in percentage | 79.80% |
8.3 CGPA in percentage | 78.85% |
8.2 CGPA in percentage | 77.90% |
8.1 CGPA in percentage | 76.95% |
8.0 CGPA in percentage | 76% |
7.9 CGPA in percentage | 75.05% |
7.8 CGPA in percentage | 74.10% |
7.7 CGPA in percentage | 73.15% |
7.6 CGPA in percentage | 72.20% |
7.5 CGPA in percentage | 71.25% |
7.4 CGPA in percentage | 70.30% |
7.3 CGPA in percentage | 69.35% |
7.2 CGPA in percentage | 68.40% |
7.1 CGPA in percentage | 67.45% |
7.0 CGPA in percentage | 66.50% |
6.9 CGPA in percentage | 65.55% |
6.8 CGPA in percentage | 64.60% |
6.7 CGPA in percentage | 63.65% |
6.6 CGPA in percentage | 62.70% |
6.5 CGPA in percentage | 61.75% |
6.4 CGPA in percentage | 60.80% |
6.3 CGPA in percentage | 59.85% |
6.2 CGPA in percentage | 58.90% |
6.1 CGPA in percentage | 57.95% |
6.0 CGPA in percentage | 57% |
5.9 CGPA in percentage | 56.05% |
5.8 CGPA in percentage | 55.10% |
5.7CGPA in percentage | 54.15% |
5.6 CGPA in percentage | 53.20% |
5.5 CGPA in percentage | 52.25% |
5.4 CGPA in percentage | 51.30% |
5.3 CGPA in percentage | 50.35% |
5.2 CGPA in percentage | 49.40% |
5.1 CGPA in percentage | 48.45% |
5.0 CGPA in percentage | 47.50% |
4.9 CGPA in percentage | 46.55% |
4.8 CGPA in percentage | 45.60% |
4.7 CGPA in percentage | 44.65% |
4.6 CGPA in percentage | 43.70% |
4.5 CGPA in percentage | 42.75% |
4.4 CGPA in percentage | 41.80% |
4.3 CGPA in percentage | 40.85% |
4.2 CGPA in percentage | 39.90% |
4.1 CGPA in percentage | 38.95% |
4.0 CGPA in percentage | 38% |
3.9 CGPA in percentage | 37.05% |
3.8 CGPA in percentage | 36.10% |
3.7 CGPA in percentage | 35.15% |
3.6 CGPA in percentage | 34.20% |
3.5 CGPA in percentage | 33.25% |
3.4 CGPA in percentage | 32.30% |
3.3 CGPA in percentage | 31.35% |
3.2 CGPA in percentage | 30.40% |
3.1 CGPA in percentage | 29.45% |
3.0 CGPA in percentage | 28.50% |
CGPA | Percentage in 5 grade scale |
0.0 CGPA in percentage (5 Grade Points) | 0% |
0.1 CGPA in percentage (5 Grade Points) | 2% |
0.2 CGPA in percentage (5 Grade Points) | 4% |
0.3 CGPA in percentage (5 Grade Points) | 6% |
0.4 CGPA in percentage (5 Grade Points) | 8% |
0.5 CGPA in percentage (5 Grade Points) | 10% |
0.6 CGPA in percentage (5 Grade Points) | 12% |
0.7 CGPA in percentage (5 Grade Points) | 14% |
0.8 CGPA in percentage (5 Grade Points) | 16% |
0.9 CGPA in percentage (5 Grade Points) | 18% |
1.0 CGPA in percentage (5 Grade Points) | 20% |
1.1 CGPA in percentage (5 Grade Points) | 22% |
1.2 CGPA in percentage (5 Grade Points) | 24% |
1.3 CGPA in percentage (5 Grade Points) | 26% |
1.4 CGPA in percentage (5 Grade Points) | 28% |
1.5 CGPA in percentage (5 Grade Points) | 30% |
1.6 CGPA in percentage (5 Grade Points) | 32% |
1.7 CGPA in percentage (5 Grade Points) | 34% |
1.8 CGPA in percentage (5 Grade Points) | 36% |
1.9 CGPA in percentage (5 Grade Points) | 38% |
2.0 CGPA in percentage (5 Grade Points) | 40% |
2.1 CGPA in percentage (5 Grade Points) | 42% |
2.2 CGPA in percentage (5 Grade Points) | 44% |
2.3 CGPA in percentage (5 Grade Points) | 46% |
2.4 CGPA in percentage (5 Grade Points) | 48% |
2.5 CGPA in percentage (5 Grade Points) | 50% |
2.6 CGPA in percentage (5 Grade Points) | 52% |
2.7 CGPA in percentage (5 Grade Points) | 54% |
2.8 CGPA in percentage (5 Grade Points) | 56% |
2.9 CGPA in percentage (5 Grade Points) | 58% |
3.0 CGPA in percentage (5 Grade Points) | 60% |
3.1 CGPA in percentage (5 Grade Points) | 62% |
3.2 CGPA in percentage (5 Grade Points) | 64% |
3.3 CGPA in percentage (5 Grade Points) | 66% |
3.4 CGPA in percentage (5 Grade Points) | 68% |
3.5 CGPA in percentage (5 Grade Points) | 70% |
3.6 CGPA in percentage (5 Grade Points) | 72% |
3.7 CGPA in percentage (5 Grade Points) | 74% |
3.8 CGPA in percentage (5 Grade Points) | 76% |
3.9 CGPA in percentage (5 Grade Points) | 78% |
4.0 CGPA in percentage (5 Grade Points) | 80% |
4.1 CGPA in percentage (5 Grade Points) | 82% |
4.2 CGPA in percentage (5 Grade Points) | 84% |
4.3 CGPA in percentage (5 Grade Points) | 86% |
4.4 CGPA in percentage (5 Grade Points) | 88% |
4.5 CGPA in percentage (5 Grade Points) | 90% |
4.6 CGPA in percentage (5 Grade Points) | 92% |
4.7 CGPA in percentage (5 Grade Points) | 94% |
4.8 CGPA in percentage (5 Grade Points) | 96% |
4.9 CGPA in percentage (5 Grade Points) | 98% |
5.0 CGPA in percentage (5 Grade Points) | 100% |
4.9 CGPA in percentage | 46.55% |
4.8 CGPA in percentage | 45.60% |
4.7 CGPA in percentage | 44.65% |
4.6 CGPA in percentage | 43.70% |
4.5 CGPA in percentage | 42.75% |
4.4 CGPA in percentage | 41.80% |
4.3 CGPA in percentage | 40.85% |
4.2 CGPA in percentage | 39.90% |
4.1 CGPA in percentage | 38.95% |
4.0 CGPA in percentage | 38% |
3.9 CGPA in percentage | 37.05% |
3.8 CGPA in percentage | 36.10% |
3.7 CGPA in percentage | 35.15% |
3.6 CGPA in percentage | 34.20% |
3.5 CGPA in percentage | 33.25% |
3.4 CGPA in percentage | 32.30% |
3.3 CGPA in percentage | 31.35% |
3.2 CGPA in percentage | 30.40% |
3.1 CGPA in percentage | 29.45% |
3.0 CGPA in percentage | 28.50% |
CGPA | Percentage in 4 grade scale |
0.0 CGPA in percentage | 0% |
0.1 CGPA in percentage | 2.50% |
0.2 CGPA in percentage | 5% |
0.3 CGPA in percentage | 7.50% |
0.4 CGPA in percentage | 10% |
0.5 CGPA in percentage | 12.50% |
0.6 CGPA in percentage | 15% |
0.7 CGPA in percentage | 17.50% |
0.8 CGPA in percentage | 20% |
0.9 CGPA in percentage | 22.50% |
1.0 CGPA in percentage | 25% |
1.1 CGPA in percentage | 27.50% |
1.2 CGPA in percentage | 30% |
1.3 CGPA in percentage | 32.50% |
1.4 CGPA in percentage | 35% |
1.5 CGPA in percentage | 37.50% |
1.6 CGPA in percentage | 40% |
1.7 CGPA in percentage | 42.50% |
1.8 CGPA in percentage | 45% |
1.9 CGPA in percentage | 47.50% |
2.0 CGPA in percentage | 50% |
2.1 CGPA in percentage | 52.50% |
2.2 CGPA in percentage | 55% |
2.3 CGPA in percentage | 57.50% |
2.4 CGPA in percentage | 60% |
2.5 CGPA in percentage | 62.50% |
2.6 CGPA in percentage | 65% |
2.7 CGPA in percentage | 67.50% |
2.8 CGPA in percentage | 70% |
2.9 CGPA in percentage | 72.50% |
3.0 CGPA in percentage | 75% |
3.1 CGPA in percentage | 77.50% |
3.2 CGPA in percentage | 80% |
3.3 CGPA in percentage | 82.50% |
3.4 CGPA in percentage | 85% |
3.5 CGPA in percentage | 87.50% |
3.6 CGPA in percentage | 90% |
3.7 CGPA in percentage | 92.50% |
3.8 CGPA in percentage | 95% |
3.9 CGPA in percentage | 97.50% |
4.0 CGPA in percentage | 100% |
After converting the gained percentage to CGPA, students must understand the right meaning of the CGPA rankings earned by them. The CGPA is always offered to students on the basis of their overall course performance. Let us now check the common CGPA rankings and what they mean in terms of students' performance.
CGPA Scores | Performance |
9.5 - 10.0 | Outstanding |
8.5 - 9.4 | Excellent |
7.5 - 8.4 | Very Good |
6.5 - 7.4 | Good |
5.5 - 6.4 | Average |
Below 5.5 | Below Average |
Students often wonder how to convert CGPA to a percentage as well. There are different CGPA to percentage calculator available online for their help. So, what is the calculation behind it and why it is required? Converting CGPA to Percentage is often required while applying to an educational institution that follows a percent based educational system for admission purposes. To convert CGPA to Percentage, students can multiply the overall CGPA (Cumulative Grade Point Average) by 9.5. There are two CGPAs: a 10 point and a 4 point. The method of conversion varies depending on the type of cumulative average taken.
Simply, the percentage is CGPA*9.5. This formula is popularly used and provided by CBSE (Central Board of Secondary Education) in India for conversion. Similarly, the majority of educational institutions often consider it a valid formula to change CGPA to Percentage. However, it is highly advised to consult the institution's authorities regarding it. Here, we have elaborated the methods of conversion along with an example for reference:
If the CGPA is on 10 scaling grade, students can use the most simple formula that is multiplying it by 9.5. It works perfectly as 10 CGPA is equated with 95% or higher to change the scoring in percent forms.
Example:
Students can also use 10 point CGPA to percentage online calculators for reference.
The 4 point CGPA CGPA to Percentage can be converted through a formula which is multiplying the CGPA divided by 4. In simple terms, the 4-Point CGPA into Percentage formula is: (CGPA ÷ 4) × 100. One can use the following steps for better and clearer understanding:
Example:
Students can use 4 point CGPA to percentage online calculators for reference.
Now that we have already learnt about the percentage to CGPA conversion formula and vice versa, let us also check the quick overview of SGPA (Semester Grade Point Average). It is also one of the formats where students get their academic result in Indian colleges and universities. We have included the meaning, benefits, and calculation formulas to understand the conversion of SGPAs.
The SGPA is known as the semester grade point average. The SGPA is calculated based on semesters, which is later used to calculate the overall grade of the student in the academic year. The SGPA is used to calculate the individual semester or term's academic performance.
Semester 1 | Credit Hours | Grade Points |
Subject A | 2 | 6 |
Subject B | 4 | 8 |
Subject C | 3 | 7 |
Subject D | 6 | 9 |
Calculate the total points achieved; the sum of all points (Credit Hours* Grade Points)
Then, divide the total points by the total credit hours to get the SGPA.
Example: The point for subject A is 12 (2*6); similarly, for subjects B, C and D, it is 32, 21, and 54, respectively.
Now, add all the points, 12+32+21+54 Which is 12+32+21+54.
Put the sum in the formula to calculate the SGPA.
SGPA= sum of all the points/ sum of credit hours
SGPA=119/15
SGPA= 7.9
To convert the SGPA into a percentage, we have to multiply the SGPA scored in all the semesters (sum of semesters studied) or individual semesters by 10 and then subtract 7.5 from the obtained number. This formula is used as the SGPA to percentage calculator
Example 1: suppose the SGPA of the 1st semester is 8.5. Then the SGPA to percentage will be.
Percentage= (SGPA*10)-7.5
Percentage= (8.5*10)-7.5
Percentage= 85-7.5
Percentage= 77.5%
Therefore, the percentage of the first semester is 77.5%
Example 2: In this example, we will evaluate the overall percentage of all the semesters.
Percentage= ( sum of semesters*10) - 7.5
Suppose the total SGPA is 8.9
Then, (8.9*10)-7.5
The overall percentage is 81.5%
Example 3: calculating the total percentage from the semester scorecards and evaluating the CGPA as well.
Semester 1 scorecard
subjects | Marks Obtained | Total Marks |
Subject 1 | 88 | 100 |
Subject 2 | 96 | 100 |
Subject 3 | 74 | 100 |
Subject 4 | 59 | 100 |
Subject 5 | 62 | 100 |
Total marks obtained: 379
The sum of total marks is 500
Calculate the percentage of first-semester scorecards by applying the percentage formula.
Percentage of first semester: 75.8%
Now, let's evaluate the percentage of the second semester from the below scorecard:
Semester 2 scorecard
subjects | Marks Obtained | Total Marks |
Subject 1 | 94 | 100 |
Subject 2 | 68 | 100 |
Subject 3 | 96 | 100 |
Subject 4 | 84 | 100 |
Subject 4 | 73 | 100 |
The total marks obtained in semester 2 is 415
Percentage of first semester: 83%
Then, the total percentage of the whole academic year is calculated as the sum of the total marks obtained in the first semester and second semester from the sum of the total marks of both semesters and then the result is multiplied by 100 to evaluate the overall percentage.
Total Percentage: 79.4%
Now, to calculate the CGPA of the obtained overall percentage, divide the achieved percentage by 9.5.
CGPA: achieved percentage/ 9.5
CGPA: (79.4/9.5)
CGPA: 8.35789
To convert percentage to CGPA, students must find out their overall percentage scores and then divide it by 9.5. Rounding off the result to only two decimal places will get students with the CGPA marks from percentage.
The 80% in CGPA is equivalent to 7.6. It is obtained by multiplying the 80% by 9.5. (0.8*9.5)
A 75% to CGPA can be obtained by multiplying the percentage of 75 by 9.5. It is equivalent to 7.12.
Yes, a 7.8 CGPA is good for students. The majority of universities abroad accept students with a 7.8 CGPA easily.
Using the standard formula to calculate CGPA from percentages, we use (CGPA = Percentage ÷ 9.5). Hence, 72% converts to a CGPA of approximately 7.58
As we have discussed above as well, the formula for percentage to CGPA converts as: 65% divided by 9.5 gives a CGPA of around 6.84.
Percentage of 75% translates to a CGPA of about 7.89 on a 10-point scale. It is quite average score and is acceptable as a decent admission score requirement.
A 9.5 in CGPA is widely used. The multiplier 9.5 was introduced by CBSE after analysing the average marks of meritorious students over several years. It reflects the average score of students who received an A1 grade (91–100%), which was found to be around 95.
A 9.9 CGPA is outstanding for students which is nearly perfect. It reflects consistent academic excellence. It places you among the top performers and is acceptable in top universities and colleges worldwide.
A CGPA of 8.5 is also very good for students. Generally, students with such CGPA is widely acceptable among top universities and colleges. It indicates above-average performance and is well accepted.
A 100% score is generally corresponds to 10 CGPA on a scale of 10.0. On a CGPA scale of 4.0, 100% is around 4.0. It is an excellent score for admission into top universities abroad showing high academic merit and understanding.
A 99 percentage in CGPA of a scale of 10.0 is around 10. Generally, a percent of 95 to 100% translates to 10.
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