Germany to US / inverted scale

German Grading Scale to US GPA

Updated 26 August 2026

The German grading scale is inverted. 1.0 is the highest grade; 4.0 is the pass threshold; 5.0 and 6.0 are failing. For US applications a credential evaluator (WES, ECE) maps the German Gesamtnote to a US GPA using its own band tables. A German 1.5 converts to approximately a US 3.7 to 3.85; a German 2.5 converts to approximately a US 3.1. The inversion is the single most common source of misunderstanding for German applicants to US institutions.

German GPA to US GPA at a glance

Remember the scale is inverted: a low German number is a high US GPA. These are the credential-evaluator equivalents (WES / ECE style); exact figures vary by institution and evaluator.

German 1.0

4.0

US GPA (A)

German 1.5

3.7-3.85

US GPA (A / A-)

German 2.0

3.5

US GPA (A- / B+)

German 2.5

~3.1

US GPA (B)

German 3.0

2.7

US GPA (B-)

German 4.0

2.0

US GPA (C (pass))

The full 1.0-6.0 band table is below, along with how the modified Bavarian formula actually works. For an authoritative figure on a US application, use a WES or ECE credential evaluation.

The inverted scale

The German grading scale runs from 1.0 (best) to 6.0 (worst). The pass threshold is 4.0; grades of 5.0 and 6.0 are failing and require retake. This is the opposite of the US 4.0 scale, where 4.0 is the highest grade and 0.0 is failing. The inversion is fundamental and is the single most common source of confusion for German applicants to US institutions.

The German grading bands have descriptive labels under the Kultusministerkonferenz (KMK) framework that standardises education across the German federal states. The bands are: Sehr gut (Very good, 1.0-1.5), Gut (Good, 1.6-2.5), Befriedigend (Satisfactory, 2.6-3.5), Ausreichend (Sufficient, 3.6-4.0), Mangelhaft (Insufficient, 4.1-5.0), Ungenügend (Inadequate, 5.1-6.0). Most German universities report grades to one decimal place within these bands.

Conversion reference table

German grade	German label	US GPA / letter	Notes
1.0	Sehr gut (Very good) at the top of the band	4.0	Highest possible grade. Rare; typically top 5-10% at most universities.
1.3	Sehr gut	4.0 / A	Very strong; typically above 90th percentile.
1.7	Gut (Good)	3.7 / A-	Strong; top quartile.
2.0	Gut	3.5 / B+	Good academic standing; competitive for grad school.
2.3	Gut	3.3 / B+	Solid; above median.
2.7	Befriedigend (Satisfactory)	3.0 / B	Median range.
3.0	Befriedigend	2.7 / B-	Below median.
3.3	Befriedigend	2.5 / C+	Marginal for grad school competitiveness.
3.7	Ausreichend (Sufficient)	2.0 / C	Passing but weak; limits grad school options.
4.0	Ausreichend	2.0 / C	The pass threshold. Below this is failing.
5.0	Mangelhaft (Insufficient)	Failing	Failing grade requiring retake.
6.0	Ungenügend (Inadequate)	Failing	Failing grade; rare for university level.

The modified Bavarian formula (and why it runs the other way)

The modified Bavarian formula is the linear formula standardised by the Kultusministerkonferenz (KMK) and used by German universities and uni-assist. It is worth understanding because it is the most-cited German grade formula, but note its direction carefully: it converts a foreign grade into the German 1.0-4.0 scale. It is the tool a US or Indian applicant uses when applying to a German university, not the tool a US credential evaluator uses to read a German degree. The formula is:

German grade = 1 + 3 × ((Nmax - Nd) / (Nmax - Nmin))

Where Nd is the grade achieved, Nmax is the best grade in the applicant's home system, and Nmin is the minimum passing grade in that home system. The output is a German grade between 1.0 (best) and 4.0 (the pass threshold). Applied to a US GPA, Nmax is 4.0 (A) and Nmin is 1.0 (D, the lowest passing grade): a US 4.0 gives a German 1.0, a US 3.0 gives a German 2.0, and a US 2.0 gives a German 3.0.

For the direction this page is about, German grade to US GPA, there is no single official formula. US credential evaluators (WES, ECE) map the German Gesamtnote to a US GPA using their own published band tables, which is what the reference table above reflects. Those figures are estimates that vary by evaluator and by the course-by-course grade distribution.

If you want a quick sanity-check without an evaluation, you can algebraically invert the formula above using the US endpoints (Nmax 4.0, Nmin 1.0). That reduces to a simple linear model: US GPA is approximately 5.0 minus the German grade. So a German 1.5 lands near a US 3.5 and a German 2.0 near a US 3.0. This is a transparent model, not an official conversion, and it reads German grades more conservatively than the WES / ECE band tables do (which is why the table above shows a German 1.5 as roughly 3.7 to 3.85). Treat it as a floor, and use a credential evaluation for the figure you actually put on an application.

DAAD guidance

The DAAD (German Academic Exchange Service) publishes official guidance on German grading conversions for German students studying abroad and international students studying in Germany. The modified Bavarian formula is applied to inbound conversions (bringing an international applicant's grades onto the German 1.0-4.0 scale). For outbound conversions (German students applying abroad), there is no single German formula; the destination country's own evaluators or admissions offices read the German Gesamtnote, which for the US means WES or ECE band tables.

DAAD's tabled equivalents are widely accepted in European higher education for cross-border credit recognition. For US applications, WES and ECE typically apply their own methodology that may produce slightly different US GPA equivalents but generally agrees with DAAD for the broad classifications.

University-specific examples

German universities vary in their grade distributions even though the scale is standardised. Examples:

TU Munich (Technical University of Munich): A leading German technical university. Master's programmes in engineering and computer science. Gesamtnote distribution typically clusters in the 1.5-2.5 range; a 1.5 from TUM is a strong signal in US grad-school applications.

Heidelberg University: One of Germany's oldest universities (founded 1386). Strong in humanities, sciences, and medicine. Grade distribution similar to other research universities; 1.5-2.0 is the competitive band for grad-school applications.

LMU Munich (Ludwig-Maximilians-Universität): Large comprehensive research university. Grade distribution typically slightly higher (lower in German terms) than TUM for technical subjects.

Humboldt University Berlin: Strong in humanities and social sciences. Grade distribution similar to other research universities.

ETH Zurich: Swiss rather than German, but uses a similar 1-6 inverted scale with 1.0 best, 4.0 pass. ETH grade distribution tends to be more concentrated near 5.0-5.5 (which is high) due to Swiss grading conventions; this can confuse US admissions readers expecting German-style distributions.

Strategic implications for US applications

For German applicants to US graduate programmes, the practical strategy:

Always provide both the German Gesamtnote and the US GPA equivalent on the application. Without the conversion, US admissions readers will be uncertain about the actual academic strength. A German 1.5 looks worse than a 3.0 to a US reader who does not know the inversion convention.
Use WES verification for required US grad-school applications. The credential evaluator produces an authoritative US GPA equivalent that admissions can use directly.
Reference the DAAD grade-conversion guidance in cover letters or addenda when the conversion is non-obvious. This signals familiarity with the standard methodology (and avoids the common error of quoting the modified Bavarian formula, which runs foreign-to-German, in the wrong direction).
For internships and entry-level US jobs that do not require credential evaluation, use the dual-format on the resume: "Master's in Computer Science, TU Munich, Gesamtnote 1.5 (US GPA equivalent: ~3.85)".
Top German university recognition is real but uneven. TUM, Heidelberg, LMU, ETH (Switzerland) are widely recognised in US technical and academic communities. Less-known German universities benefit from explicit recognition signals (rankings, accreditation references) in the application.

The German grading scale is one of the most consistently misunderstood national grading systems in US admissions contexts because of the inversion. Always make the conversion explicit and authoritative; let the credential evaluation service do the operative work.

Educational reference. Not credential evaluation advice. Use WES, ECE, or DAAD-recognised conversion for authoritative US-equivalent figures.

Common Questions

What is a good GPA on the German scale?

A German GPA of 1.0-2.0 is considered very good (Sehr gut to Gut). A 2.0-3.0 is satisfactory (Gut to Befriedigend). A 3.0-4.0 is sufficient but weak (Befriedigend to Ausreichend). The German scale is inverted relative to the US: lower numbers are better in Germany, higher numbers are better in the US. A German 1.5 (very good) converts to approximately a US 3.7 to 3.85; a German 3.5 converts to approximately a US 2.3.

How is the German grade calculated?

Most German universities calculate a final degree grade (Gesamtnote) as a weighted average of individual course grades, where the weights are the ECTS credits for each course. The Bachelor and Master Gesamtnote is typically reported to one decimal place. The Diplom degree (older system) typically uses a similar weighted-average calculation but with different course weights.

What is the modified Bavarian formula?

The modified Bavarian formula is the KMK-standardised linear formula German universities and uni-assist use to convert a foreign grade INTO the German 1.0-4.0 scale. It is: German grade = 1 + 3 × (Nmax - Nd) / (Nmax - Nmin), where Nd is the grade achieved and Nmax and Nmin are the best grade and the minimum passing grade in the applicant's home system. The output is a German grade between 1.0 (best) and 4.0 (pass). Note the direction: it converts foreign grades into German, so it is the tool used when a US or Indian applicant applies to a German university, not the tool a US credential evaluator uses to read a German degree.

Is a German 1.5 equivalent to a US 3.85?

Approximately yes. US credential evaluators (WES, ECE) map a German 1.5 (very good) to roughly a US 3.7-3.85 (A range) using their own published band tables, and that is the figure most US applications rely on. A simpler linear model - inverting the German 1.0-4.0 band onto the US 4.0-1.0 band, so US GPA is about 5.0 minus the German grade - is more conservative and gives about 3.5 for a German 1.5. The exact figure depends on the evaluator and the course-by-course grade distribution; a WES or ECE evaluation produces the authoritative number.

Why is the German scale inverted?

Historical convention. The German grading system originated with the Prussian education reforms of the 19th century, which used a 1-6 scale with 1 as the highest. The convention has persisted across the various German states and is now codified in the Kultusministerkonferenz (KMK) guidelines. Most other Central European education systems (Austrian, Swiss) use similar inverted scales. The US 4.0 scale and the UK percentage scale both run in the opposite direction. The inversion is the single most common source of conversion error for German applicants to US institutions.

How do US grad schools read German degrees?

Most US grad schools require credential evaluation (WES, ECE, or equivalent) for German degrees. The credential evaluator maps the German Gesamtnote to a US GPA equivalent using its own published band tables, not the modified Bavarian formula (which runs the other way, converting foreign grades into the German scale). Top German universities (TU Munich, ETH Zurich (Swiss, similar scale), Heidelberg, LMU Munich, Humboldt) are typically read favourably by US admissions readers familiar with German higher education.