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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.

Updated Checked against 8 worked examples

One course per line, optionally with a name first: “Calculus, B+, 4”. Grade points like 3.7 also work.
More options
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GPA (4.0 scale)
GPA (4.0 scale): 3.36
Shown to 2 decimal places, half-even
Credits
12
Grade points earned
40.3

Across 12 credits you earned 40.3 grade points, a GPA of 3.36 on the 4.0 scale.

GPA

F–DD–CC–BB–A3.36B–A

Grade points by course

Course 1 (3 cr)A- (3.7)Course 2 (4 cr)B+ (3.3)Course 3 (3 cr)A (4.0)Course 4 (2 cr)C (2.0)
Courses (4 rows)
CourseGradeCreditsWeighted
Course 1A- (3.7)311.1
Course 2B+ (3.3)413.2
Course 3A (4.0)312
Course 4C (2.0)24
How it's calculated S
  1. Grade points × credits

    3.7×3+3.3×4+4×3+2×2=40.33.7 \times 3 + 3.3 \times 4 + 4 \times 3 + 2 \times 2 = 40.3

    Points per grade from the University of Michigan LSA scale (A+ = 4.0).

  2. Divide by total credits

    40.312=3.358\frac{40.3}{12} = 3.358

About the GPA calculator

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.

Worked examples

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

Checked against: 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
yes
GPA (4.0 scale)
3.65

Checked against: 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

Checked against: 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

Checked against: U-M LSA: E = 0; College Board: F = 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.

How accurate is the GPA calculator?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 8 worked examples whose answers come from independent sources; for example, “Four courses” is checked against Python decimal with U-M LSA points: (3.7×3 + 3.3×4 + 4×3 + 2×2)/12 = 40.3/12.

Where does the method come from?

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.

About this calculator

GPA=∑pointsi×creditsi∑creditsi%CBSE=9.5×CGPA\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}

Sources

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

Checked against references

8 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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