# GPA calculator

> GPA calculator: credit-weighted grade point average on the 4.0 scale from letter grades, plus percentage-to-GPA and CBSE CGPA-to-percentage conversions.

Version interactive : https://www.calcopenly.com/fr/everyday/gpa-calculator
Sujet : Calculatrices du quotidien

GPA is a credit-weighted average. Each course's grade points (A = 4.0, A− = 3.7, B+ = 3.3 and so on down to D− = 0.7 and F = 0 on the University of Michigan LSA scale) are multiplied by its credits, added up and divided by the total credits.

The default four courses (A− for 3 credits, B+ for 4, A for 3 and C for 2) earn 40.3 grade points over 12 credits, a GPA of 3.36. Two other modes convert a percentage to the 4.0 scale with the College Board's table (88% is a B, worth 3.0) and a 10-point CGPA to a percentage with CBSE's rule of 9.5 × CGPA.

Schools differ: some count A+ as 4.3 (a switch under More options), some add weight for honors and AP courses, and many universities publish their own CGPA formula. Check the key on your transcript before quoting the number.

## Données

- **Start from** (options : Courses, Pourcentages, 10-point CGPA)
- **Courses: grade, credits**: One course per line, optionally with a name first: “Calculus, B+, 4”. Grade points like 3.7 also work.
- **Count A+ as 4.3**
- **Percentage grade**
- **CGPA (out of 10)**

## Résultats

- GPA (4.0 scale) — résultat principal
- Credits
- Grade points earned
- Letter grade
- Percentage (CBSE, 9.5 × CGPA)

## Formule

$$
\begin{gathered}\text{GPA} = \frac{\sum \text{points}_i \times \text{credits}_i}{\sum \text{credits}_i} \\ \%_{\text{CBSE}} = 9.5 \times \text{CGPA}\end{gathered}
$$

## Exemples détaillés

### Four courses

- Start from: Courses
- Courses: grade, credits: A-, 3 / B+, 4 / A, 3 / C, 2
- **GPA (4.0 scale): 3.36**
- **Credits: 12**
- **Grade points earned: 40.3**
- Source de vérification : Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12

### A+ as 4.3

- Start from: Courses
- Courses: grade, credits: A+, 3 / B, 3
- Count A+ as 4.3: oui
- **GPA (4.0 scale): 3.65**
- Source de vérification : Hand calculation: (4.3×3 + 3×3)/6

### A+ as 4.0 (U-M LSA)

- Start from: Courses
- Courses: grade, credits: Chemistry A+ 3 / History B 3
- **GPA (4.0 scale): 3.50**
- Source de vérification : U-M LSA: A+ = 4.0; (4×3 + 3×3)/6

### All failing grades

- Start from: Courses
- Courses: grade, credits: F, 3 / E, 4
- **GPA (4.0 scale): 0.00**
- **Credits: 7**
- Source de vérification : U-M LSA: E = 0; College Board: F = 0

### 88% on the College Board scale

- Start from: Pourcentages
- Percentage grade: 88%
- **GPA (4.0 scale): 3.00**
- **Letter grade: B**
- Source de vérification : College Board table: B 80–89 = 3.0

### Exactly 65%

- Start from: Pourcentages
- Percentage grade: 65%
- **GPA (4.0 scale): 1.00**
- **Letter grade: D**
- Source de vérification : College Board table: F is below 65, so 65 is the lowest D (1.0)

## Questions

### How do you calculate GPA?

Multiply each course's grade points by its credits, add the products and divide by the total credits. A− (3.7) for 3 credits, B+ (3.3) for 4, A (4.0) for 3 and C (2.0) for 2 give 11.1 + 13.2 + 12 + 4 = 40.3 points over 12 credits, a GPA of 3.36. Each course counts in proportion to its credits.

### What letter grade is a 3.5 GPA?

A 3.5 sits halfway between a B+ (3.3) and an A− (3.7) on the plus/minus scale, so it is roughly an A−/B+ average: equal credits of A− and B+ average exactly 3.5. On the College Board's table without plus or minus grades, it falls between a B (3.0) and an A (4.0).

### How do you convert a percentage to a 4.0 GPA?

Use your school's own table where there is one. The College Board's general table gives 90–100% = A = 4.0, 80–89% = B = 3.0, 70–79% = C = 2.0, 66–69% = D = 1.0 and below 65% = F = 0.0, so 88% converts to 3.0. It has no plus or minus steps, so it is coarser than a transcript GPA.

### How do you convert CGPA to percentage?

For CBSE results, multiply the CGPA by 9.5. CBSE Circular 24 of 28 May 2010 gives the overall indicative percentage of marks as 9.5 × CGPA, so a CGPA of 8.2 is about 77.9% and 9.0 is 85.5%. Universities often set their own formula, so check the rule printed on your marksheet or in the university's regulations.

### Is an A+ worth 4.0 or 4.3?

It depends on the school. The University of Michigan's College of Literature, Science, and the Arts counts A+ as 4.0, the same as an A, while other schools award 4.3. Switch on "Count A+ as 4.3" to compare: an A+ and a B in two 3-credit courses average 3.5 under the first rule and 3.65 under the second.

### Quelle est la précision de « GPA calculator » ?

La précision dépend de vos données et des hypothèses de la méthode. Le calcul décimal utilise 50 chiffres significatifs, mais les estimations, méthodes numériques et données sources peuvent être moins précises ; l’arrondi affiché ne supprime pas ces limites. Exemples résolus vérifiés à partir de sources indépendantes : 8. Par exemple, « Four courses » est vérifié à l’aide de Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12.

### D’où vient cette méthode ?

University of Michigan LSA — Grades and grading (A 4.0, A− 3.7, B+ 3.3 …); College Board BigFuture — How to convert your GPA to a 4.0 scale; CBSE Circular 24/2010 — indicative percentage = 9.5 × CGPA.

## Sources

- [University of Michigan LSA — Grades and grading (A 4.0, A− 3.7, B+ 3.3 …)](https://lsa.umich.edu/lsa/academics/lsa-academic-policies-and-procedures/grades-and-transcript-notations.html)
- [College Board BigFuture — How to convert your GPA to a 4.0 scale](https://bigfuture.collegeboard.org/plan-for-college/get-started/how-to-convert-gpa-4.0-scale)
- [CBSE Circular 24/2010 — indicative percentage = 9.5 × CGPA](https://www.cbse.gov.in/circulars/cir24-2010.pdf)