German Grade Scale 1 to 5 Explained

Published July 19, 2026By Samson PG

Quick answer

In Germany, 1.0 is best and 5.0 is fail. Passing typically starts at 4.0 — lower numbers are better, unlike percentage scales.

German Grade Calculator

The German academic grade scale runs roughly from 1.0 (sehr gut) to 5.0 (nicht bestanden). Unlike percentage systems where higher is better, smaller grade numbers are better.

Typical meaning bands

Grade (approx.)	Label (common)	Intuition
1.0–1.5	Sehr gut	Excellent
1.6–2.5	Gut	Good
2.6–3.5	Befriedigend	Satisfactory
3.6–4.0	Ausreichend	Sufficient / pass zone
5.0	Nicht bestanden	Fail

Exact verbal labels and step sizes (0.1 vs 0.3) vary by school and exam type. Some schemes use 6 as a fail step in other contexts — confirm your Prüfungsordnung.

Percentage → German grade (illustrative map)

Universities often publish a linear-style conversion between percent and the 1–5 scale. A widely cited pattern for converting a percentage P between pass and max is variants of:

grade ≈ 1 + 3 × (maxPercent − P) / (maxPercent − passPercent)

Clamped so results stay in the valid band. Do not treat any blog formula as official — use the table in your module description.

GPA / foreign credential notes

Credential evaluators may map German grades to 4.0-scale GPAs with their own charts. That is a separate layer from your Universität’s internal average (Gesamtnote).

The scale runs backwards from most systems

The single biggest source of confusion: in Germany, 1 is the best grade and 5 (or 6 at school level) is a fail. Someone reading a German transcript with an Anglophone or Indian mental model — where higher is better — inverts the meaning of every number on it.

A 1.3 is an excellent result. A 3.7 is a weak pass. A student describing “a 2” is reporting a good grade, not a poor one.

Decimal steps, and why 1.0 is rare

University grades are usually awarded in tenths, most commonly .0, .3, and .7 within each band — 1.0, 1.3, 1.7, 2.0, 2.3 and so on. Values ending .4, .5, or .6 are typically not awarded for a single module, though they appear in averages.

A straight 1.0 is genuinely uncommon. Grading convention is stricter than in systems where a top mark is routine, which is exactly why mechanical percentage conversion misleads in both directions: a German 2.0 often represents stronger performance than a naive percentage map suggests.

Why converting to GPA is not a fixed formula

There is no single official German-to-GPA conversion, and different institutions apply different methods for the same transcript. Two you will encounter:

The modified Bavarian formula, a linear scale between the best achievable and the minimum pass grade, widely used for converting foreign grades into the German system.
Institution-specific tables published by individual universities, credential-evaluation services, or the receiving admissions office — which frequently disagree with each other.

The practical consequence is that any conversion you calculate is an estimate for planning, not a number to put on an application. The receiving institution decides, using its own published method, and that decision is the one that counts. Where an application outcome depends on it, ask the admissions office which method they apply rather than assuming.

ECTS grades are a separate thing

Some transcripts carry an ECTS grade (A–E) alongside the numeric one. That letter is relative — it reflects where a result sat in the cohort’s distribution, not an absolute threshold — so it does not map cleanly onto either a German decimal grade or a GPA letter. Read the two as separate pieces of information rather than converting one into the other.

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Use TryCalculatingNow German Grade Calculator

TryCalculatingNow German Grade Calculator helps explore percentage ↔ German grade conversions under common formulas shown in the tool. Sibling: UK classification guide for a different national banding system.