German Grade Calculator (Modified Bavarian Formula)
Convert your international CGPA, GPA, or percentage score into the German university scale (1.0 - 5.0).
Enter your grading system values and your obtained score to view your German equivalent grade.
Calculated German Grade
German Grading Context
German universities utilize an inverted grading system where 1.0 is the highest possible performance and 4.0 is the lowest passing tier.
Official KMK Policy: Current resolution dictates that the calculated score is truncated to one decimal place; it is not rounded. Our tool strictly enforces this procedural constraint.
How The Bavarian Formula Works
The Mathematical Formula
The Modified Bavarian Formula is the standardized regulatory method approved by the Standing Conference of the Ministers of Education and Cultural Affairs (Kultusministerkonferenz) for transforming foreign GPA tiers into the German model:
- Nmax: The absolute best possible grade attainable in your system.
- Nmin: The lowest passing grade allowed to graduate.
- Nd: Your actual earned cumulative grade.
- x: Resulting German grade (values usually restricted between 1.0 and 5.0).
German Academic Grading Key
| Grade Span | German Term | Definition |
|---|---|---|
| 1.0 – 1.5 | Sehr Gut | Very Good (Outstanding) |
| 1.6 – 2.5 | Gut | Good (Well above average) |
| 2.6 – 3.5 | Befriedigend | Satisfactory |
| 3.6 – 4.0 | Ausreichend | Sufficient (Minimum Pass) |
| 4.1 – 5.0 | Nicht ausreichend | Failed / Insufficient |
More Useful Tools
Boost your preparation with related calculators and conversion tools.
Weighted vs Unweighted GPA
Compare high-school GPA across weighting schemes.
PTE Score Calculator
Estimate your PTE Academic overall score.
GRE Score Calculator
Estimate your GRE Verbal, Quant, and AWA percentiles.
IELTS Score Calculator
Calculate your overall IELTS band score.
Percent to GPA Converter
Convert percentages into 4.0 / 5.0 / 10.0 GPA equivalents.
GPA / CGPA Calculator
Convert percentages and 4.0/5.0 scales into accurate GPAs.