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Convert a German grade to a 4.0 GPA
A German grade does not have one universal GPA equivalent. You can reverse the Bavarian Formula only after choosing the best and lowest passing values on the GPA scale.
Updated
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At a glance
4.0
Example best GPA
2.0
Example passing GPA
3.00 GPA
German 2.5
For a 4.0 GPA scale where 4.0 is best and 2.0 is the lowest pass, use GPA = 4 − ((German grade − 1) × 2 ÷ 3). German 2.0 becomes about 3.33 GPA, German 2.5 becomes 3.00, and German 3.0 becomes about 2.67. This is an estimate, not an official equivalency.
- Official equivalency
- Institution decides
- Formula checked
- 27 July 2026
The reverse GPA formula
GPA = GPAmax − ((German grade − 1) × (GPAmax − GPApass) ÷ 3)
For the example table below, GPAmax is 4.0 and GPApass is 2.0. The shorter formula is:
GPA = 4 − ((German grade − 1) × 2 ÷ 3)
This is the Modified Bavarian Formula solved backwards. It only estimates the original position on a chosen 4.0 scale.
German grade to 4.0 GPA table
| German grade | Estimated 4.0 GPA |
|---|---|
| 1.0 | 4.00 |
| 1.5 | 3.67 |
| 2.0 | 3.33 |
| 2.5 | 3.00 |
| 3.0 | 2.67 |
| 3.5 | 2.33 |
| 4.0 | 2.00 |
If the GPA system uses a different lowest passing value, this table is not the right one. Use the full formula with the values from the original grading rules.
Why this is not a US GPA conversion
German grades and US GPAs are not the same scale with different labels. Universities may evaluate course level, grade distribution, credits, and the issuing institution. A linear reverse estimate cannot include those factors.
Use this table only when a form asks for a rough self-reported estimate and gives no conversion rule. If an institution publishes its own table or asks for an official credential evaluation, follow that rule instead.
Frequently asked questions
On a 4.0 scale where 4.0 is best and 2.0 is the lowest pass, the reverse Bavarian Formula gives about 3.33. A school may use a different conversion, so this is not an official GPA equivalency.
On a 4.0 scale where 2.0 is the lowest pass, German 2.5 reverses to 3.00 GPA. The answer changes if the source scale has a different passing value.
Use it only if the form accepts a rough self-reported estimate and gives no conversion rule. If the institution publishes a table or asks for a credential evaluation, use that method.
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