German Grade Calculator — Modified Bavarian Formula
Convert a passing grade into an estimated German grade using your institution’s best and minimum passing grades.
Convert a passing grade into an estimated German grade using your institution’s best and minimum passing grades.
Supports higher-is-better and lower-is-better scales. Enter the minimum passing grade from your institution’s regulations.
How to use German Grade Calculator — Modified Bavarian Formula
The modified Bavarian formula supports either grading direction when the best and minimum passing grades are correctly entered.
- Choose the conversion mode and check its requirements.
- Enter your values or paste supported plain text.
- Convert and review the result and any compatibility warnings.
Formula and calculation method
German grade = 1 + 3 × (best achievable grade − achieved grade) ÷ (best achievable grade − lowest passing grade).
The tool shows the converted result and the inputs or character warnings used to produce it.
Worked example
On a higher-is-better 4.0 scale with a 2.0 pass mark, a 3.0 result converts to 2.50.
Check before using the result
This converter is a reference tool; verify acceptance and compatibility with your receiving institution or software.
Reference sources
Reference review: 8 October 2026. Verify the applicable session, scheme or policy before making a decision.
Frequently asked questions
How is the result calculated?
German grade = 1 + 3 × (best achievable grade − achieved grade) ÷ (best achievable grade − lowest passing grade).
Is this result official?
No. This tool provides a reference result. Official equivalence, university assessment and proprietary software compatibility are outside its control.
What should I check before converting?
The modified Bavarian formula supports either grading direction when the best and minimum passing grades are correctly entered.