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German grade converter (modified Bavarian formula)

  

The modified Bavarian formula used by the KMK and uni-assist. Some universities apply their own table.

10 for a 10-point CGPA, 100 for percentages, 4 for US GPA.

Often 4 or 5 on a 10-point scale, 33 to 40 for percentages, 1 or 2 for US GPA.

German grade

2

Gut (good).

How we got this

  1. Modified Bavarian formula: 1 + 3 × (Nmax − Nd) ÷ (Nmax − Nmin).
  2. 1 + 3 × (10 − 8.2) ÷ (10 − 5) = 1 + 3 × 1.8 ÷ 5 = 2.08.
  3. Germany cuts to one decimal instead of rounding: 2.

Getting Nmin right

The formula places your grade on a line between the best grade (1.0 in Germany) and the pass mark (4.0). The pass mark matters as much as your own grade: an 8.2 CGPA is 2.08 with a pass at 5 but 1.9 with a pass at 4. German universities and uni-assist look up your university's Nmax and Nmin in the anabin database, so use the values your transcript states.

If you also apply to the US, convert with the GPA converter; for an Indian percentage, the CGPA to percentage calculator has each university's rule. Planning a student job in Germany? The Brutto-Netto-Rechner shows take-home pay.

Sources

What this calculator does not account for

  • University-specific rules that differ from the modified Bavarian formula.
  • Whether the university accepts your converted grade — uni-assist decides.

How this is calculated

Formula: Modified Bavarian formula

N =1 + 3 × (Nmax − Nd) ÷ (Nmax − Nmin)

What the symbols mean

  • NmaxThe best grade possible in your system, for example 10 or 100.
  • NminThe lowest passing grade in your system.
  • NdYour grade.

Good to know

  • In Germany 1.0 is best and 4.0 is the lowest pass.
  • The result is cut to one decimal, not rounded: 2.37 becomes 2.3.

Read the full methodologyFound an error? Contact us

Worked examples

Each example is worked out by the same code as the calculator above.

CGPA 8.2, pass at 5

1 + 3 × (10 − 8.2) ÷ (10 − 5) = 2.08, cut to 2.0.

US GPA 3.5, pass at 2.0

1 + 3 × (4 − 3.5) ÷ (4 − 2) = 1.75, cut to 1.7.

Embed this calculator

The frame shows the tool only.

<iframe src="/embed/german-grade-converter" title="German grade converter" width="100%" height="720" style="border:0;max-width:42rem" loading="lazy"></iframe>

Questions

What is 8.2 CGPA in the German system?

With a pass mark of 5: 1 + 3 × (10 − 8.2) ÷ 5 = 2.08, so 2.0.

What is 75% in the German grade?

With 100 best and 40 to pass: 1 + 3 × 25 ÷ 60 = 2.25, so 2.2.

Which pass mark should I use?

The one printed on your transcript or degree rules. It changes the result a lot, so do not guess.