How to Convert CGPA to Percentage
CGPA to Percentage conversion is often required during university admissions, job applications, or while filling out official transcripts. It's a common task, as both are standard grading systems that educational institutions use to evaluate academic performance. While CGPA is often calculated on a 10-point scale, a percentage is a more traditional score out of 100%. The good news is that the conversion is usually straightforward. The most widely accepted formula is Percentage = CGPA × 9.5.
For example, a CGPA of 8.2 would convert to 77.9%.
Percentage = 8.2 x 9.5 = 77.9%
It’s worth noting that some universities may use a different multiplier, like (x10), or provide you with their official conversion rule beforehand. It’s suggested that you confirm with the institution. This guide will break down this formula, explain other methods, and provide everything you need for an accurate conversion.
How Do You Calculate Percentage from CGPA?
The quickest way to calculate a percentage from CGPA is to multiply your CGPA score by 9.5. However, the specific multiplier can vary depending on your institution's rules, with some using 9.5 and others using 10.0.
A Detailed Look CGPA to Percentage Conversion Formulas
The formula to convert CGPA to a percentage is not universal and depends on the specific rules of an educational board or university. The two most common methods involve multiplying the CGPA score by a specific factor.
The formulas are:
- Formula A: Percentage = CGPA × 9.5
Used by CBSE and AICTE. A full 10 CGPA is treated as 95% or above, which is why 9.5 is the standard multiplier.
- Formula B: Percentage = CGPA × 10
Commonly used in Indian universities and engineering colleges, especially at the higher-education level.
When to Use Each Formula:
- Formula A (CGPA × 9.5) is the officially prescribed method by the Central Board of Secondary Education (CBSE) and the All India Council for Technical Education (AICTE). This formula is widely used because a 10 CGPA is generally considered equivalent to 95% or higher.
- Formula B (CGPA×10) is frequently used in higher education, particularly in institutions like engineering colleges in India, to convert CGPA into a percentage.
Important Note: It is crucial to understand that these formulas are not standard across all universities. You should always verify the correct conversion method with your faculty or university counselors to get an accurate overall percentage from your CGPA.
Step-by-Step Guides for CGPA to Percentage Conversion
Here is a detailed, step-by-step process for converting your CGPA to a percentage based on different grading scales.
How to Convert a 10-Point CGPA
This is the most common conversion process, particularly for students whose scores are on a 10-point scale.
- Step 1: Take your CGPA score, which is on a 10-point scale.
- Step 2: Multiply your CGPA by the standard factor of 9.5.
- Step 3: The result of this calculation is your final percentage.
Examples:
- For a CGPA of 9.0, the calculation is: 9.0 × 9.5 = 85.5%.
- For a CGPA of 8.5, the calculation is: 8.5 × 9.5 = 80.75%.
- For a CGPA of 7.5, the calculation is: 7.5 × 9.5 = 71.25%.
How to Convert a 4-Point CGPA
Many universities, especially abroad, use a 4-point CGPA scale. The conversion process for this scale is different.
The formula is:
Percentage = (CGPA ÷ 4) × 100.
- Step 1: Take your CGPA value on the 4-point scale.
- Step 2: Divide your CGPA by 4, which is the maximum possible score on this scale.
- Step 3: Multiply the result by 100 to get the final percentage.
Examples:
- For a CGPA of 3.5, the calculation is: (3.5 ÷ 4) × 100 = 87.5%.
- For a CGPA of 3.0, the calculation is: (3.0 ÷ 4) × 100 = 75%.
CGPA to Percentage Conversion Tables
The tables below show the percentage equivalent for CGPA scores on 10-point, 5-point, and 4-point scales. The 10-point scale conversion is based on the standard multiplication factor of 9.5.
10-Point CGPA Scale to Percentage
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% |
5.7 CGPA 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% |
5-Point CGPA Scale to Percentage
Some universities (especially outside India) follow a 5-point CGPA scale instead of the 10-point scale.
CGPA |
Percentage on a 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-Point CGPA Scale to Percentage
In the 4-point scale, the CGPA is usually calculated on a 0-4.0 point scale.
CGPA |
Percentage in 4 4-Grade Scale |
|---|---|
0.0 CGPA in percentage |
0% |
0.1 CGPA in percentage |
2.5% |
0.2 CGPA in percentage |
5% |
0.3 CGPA in percentage |
7.5% |
0.4 CGPA in percentage |
10% |
0.5 CGPA in percentage |
12.5% |
0.6 CGPA in percentage |
15% |
0.7 CGPA in percentage |
17.5% |
0.8 CGPA in percentage |
20% |
0.9 CGPA in percentage |
22.5% |
1.0 CGPA in percentage |
25% |
1.1 CGPA in percentage |
27.5% |
1.2 CGPA in percentage |
30% |
1.3 CGPA in percentage |
32.5% |
1.4 CGPA in percentage |
35% |
1.5 CGPA in percentage |
37.5% |
1.6 CGPA in percentage |
40% |
1.7 CGPA in percentage |
42.5% |
1.8 CGPA in percentage |
45% |
1.9 CGPA in percentage |
47.5% |
2.0 CGPA in percentage |
50% |
2.1 CGPA in percentage |
52.5% |
2.2 CGPA in percentage |
55% |
2.3 CGPA in percentage |
57.5% |
2.4 CGPA in percentage |
60% |
2.5 CGPA in percentage |
62.5% |
2.6 CGPA in percentage |
65% |
2.7 CGPA in percentage |
67.5% |
2.8 CGPA in percentage |
70% |
2.9 CGPA in percentage |
72.5% |
3.0 CGPA in percentage |
75% |
3.1 CGPA in percentage |
77.5% |
3.2 CGPA in percentage |
80% |
3.3 CGPA in percentage |
82.5% |
3.4 CGPA in percentage |
85% |
3.5 CGPA in percentage |
87.5% |
3.6 CGPA in percentage |
90% |
3.7 CGPA in percentage |
92.5% |
3.8 CGPA in percentage |
95% |
3.9 CGPA in percentage |
97.5% |
4.0 CGPA in percentage |
100% |
CGPA vs. Percentage: A Detailed Comparison
While both CGPA and percentage are grading systems that evaluate a student's academic performance, they differ significantly in their calculation and interpretation.
- CGPA (Cumulative Grade Point Average) is a score that represents a student's academic performance using grade points, typically on a scale of 4 or 10.
- Percentage is a score calculated from the marks a student has obtained out of a total of 100 marks.
Here are the key differences in how they are calculated and interpreted:
Aspect |
CGPA |
Percentage |
|---|---|---|
Calculation Method |
A CGPA is calculated by averaging the grade points obtained in all semesters, according to the credit hours or weightage assigned to each course. |
The percentage is calculated by multiplying the fraction of marks obtained in a subject by the total possible marks for that subject by 100. |
Academic Interpretation |
Because the CGPA calculation includes both grade points and the number of credits for each course, it gives a holistic view of a student's academic performance across various subjects and semesters. |
A percentage is a direct reflection of the marks obtained in a single subject or semester, where a higher percentage indicates better performance. |