What is the Modified Bavarian Formula?

The Modified Bavarian Formula is the standardized method used by German universities to convert foreign grades into the German system. Formula: German Grade = 1 + 3 * (Nmax - Nd) / (Nmax - Nmin), where Nd is the achieved grade, Nmax is the maximum possible grade, and Nmin is the minimum passing grade in the foreign system.

What is a passing grade in Germany?

In the German university grading system, a score of 1.0 is the best possible grade (Sehr Gut) and 4.0 is the minimum passing mark (Ausreichend). Any score above 4.0 (e.g. 5.0) represents a failing grade.

German GPA Converter | Modified Bavarian Formula Tool

GlobalGPA

Bavarian Formula Calculator

Your Grade Obtained (Nd) The score you received (e.g. 3.5 if your GPA is 3.5, or 85 if it is 85%).

Maximum Possible Grade (Nmax) The top possible score in that scale (e.g. 4.0 for standard US scale, or 100 for percentage scale).

Minimum Passing Grade (Nmin) The lowest score required to pass (e.g. 2.0 for US college C scale, or 50/40 for percentage pass marks).

Equivalent German Grade

1.75

Sehr Gut (Very Good)

How the German Grading Scale Works

The German academic scale ranges from 1.0 (Excellent) to 5.0 (Fail). Unlike US scales, lower numeric scores are better in the German system:

German Grade Range	German Term	US GPA Equivalent	Definition
1.0 - 1.5	Sehr Gut	3.7 - 4.0	Outstanding achievements.
1.6 - 2.5	Gut	3.3 - 3.6	Well above average requirements.
2.6 - 3.5	Befriedigend	2.7 - 3.2	Fulfills average requirements.
3.6 - 4.0	Ausreichend	2.0 - 2.6	Sufficient to pass.
4.1 - 5.0	Nicht Ausreichend	0.0 - 1.9	Insufficient achievement (Failing).

The Modified Bavarian Formula Math:

        German Grade = 1 + 3 × [ (Nmax - Nd) / (Nmax - Nmin) ]
      

Where:

Nd: Achieved score in your local system.
Nmax: Best possible score in your local system.
Nmin: Minimum passing grade in your local system.

Frequently Asked Questions

For most English-taught Master's programs in Germany, a German GPA of 2.5 or better is typically required. Competitive programs (like Computer Science or Finance at top TU9 universities) often require a GPA of 2.0 or better.

ECTS (European Credit Transfer and Accumulation System) is standard across Europe. One academic year corresponds to 60 ECTS credits, which is equivalent to 1,500–1,800 hours of study. A standard US credit hour typically translates to 2 ECTS credits.