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Bavarian Formula Calculator (Modified Bavarian Formula)

The Modified Bavarian Formula converts a foreign grade to the German 1.0–4.0 scale: German grade = 1 + 3 × (Nmax − Nd) / (Nmax − Nmin). Enter the best possible grade, the minimum pass grade and your grade to get the German equivalent German universities use for admission.

Use calculator Plan target GPA

Bavarian formula calculator

Built with GradeAtlas country, university, and grading-scale data for more accurate academic planning.

Official KMK formula
Country presets
Step-by-step working

Bavarian formula calculator

Enter grades and credits below. The calculator runs in your browser and does not store your transcript.

German grade
2.2
Gut (good)

1 + 3 × (100 − 75) / (100 − 40) = 2.2

Official KMK formula

Uses the exact Modified Bavarian Formula with one-decimal truncation.

Country presets

One-click settings for India, US, France, Tunisia, Iran and China.

Step-by-step working

Shows the full substitution so you can include it in applications.

What is the Modified Bavarian Formula?

The formula was adopted by the Standing Conference of Ministers of Education (KMK) to convert foreign grades into the German scale, where 1.0 is the best grade and 4.0 is the lowest pass.

Nmax is the best grade in your home system, Nmin is the lowest pass grade, and Nd is the grade you earned. German universities usually truncate the result to one decimal place.

Worked examples

India (percentage): 75% with a 40% pass mark → 1 + 3 × (100 − 75) / (100 − 40) = 2.25, reported as 2.2.

India (10-point CGPA): 8.0 with a 4.0 pass mark → 1 + 3 × (10 − 8) / (10 − 4) = 2.0. US GPA: 3.5 on a 4.0 scale with 1.0 pass → 1 + 3 × 0.5 / 3 = 1.5.

Which universities use it?

TU Munich, RWTH Aachen, Heidelberg, KIT, TU Berlin and most institutions processing applications through uni-assist apply the formula or a close variant. Always check the program's official admission rules, as some use their own cut-offs or the anabin database.

How to use this calculator

1

Enter Nmax

Type the best possible grade in your home system (for example 100 or 10).

2

Enter Nmin

Type the lowest passing grade (for example 40 or 4).

3

Enter your grade

Type your final grade or average (Nd).

4

Read your German grade

The result on the 1.0–4.0 scale and its classification appear instantly.

Frequently asked questions

What is a good German grade from the Bavarian formula?

1.0–1.5 is 'sehr gut' (very good) and 1.6–2.5 is 'gut' (good). Competitive programs at TU Munich or RWTH Aachen often expect 2.5 or better.

What is 8 CGPA in the German grading system?

With a 10-point scale and a 4.0 pass mark, 8.0 CGPA converts to 2.0 using the Modified Bavarian Formula.

What is 75 percent in the German grading system?

With a 40% pass mark, 75% converts to 2.2 (2.25 truncated).

Is the Bavarian formula official?

It is the KMK-recommended method for converting foreign grades, but each university and uni-assist make the final calculation.