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German Grade Calculator –
The Modified Bavarian Formula

Check your converted grade for TUM, RWTH Aachen, LMU, and KIT Master's admissions. Instant results, no signup.

Enter Your Grading System Values
Maximum Grade
Nmax — top of your scale
(100%, 10 CGPA, 4.0 GPA)
Minimum Passing
Nmin — pass threshold
(40%, 50%, 2.0 GPA, 4.0 CGPA)
Your Obtained Grade
Nd — exact value from transcript
Grade: on a scale
—
—
—
German 1.0 – 5.0 Scale  ·  Lower is Better
Your position on the German grading scale
1.02.03.04.05.0
Sehr gut
Gut
Befriedigend
Ausreichend
Nicht best.

Master's Admission Cutoffs

Typical grade ranges for Engineering, CS, and Science programs at top German universities. Always verify directly with each university before applying.

German Grading Scale Reference

Five official KMK bands — your result is highlighted.

RangeGerman BandEnglish Equivalent
What Is It

What Is the Modified Bavarian Formula?

The Modified Bavarian Formula is the standard method German universities use to convert a grade earned abroad into Germany's own 1.0 to 5.0 scale. It was stipulated by resolution of the Kultusministerkonferenz, Germany's Standing Conference of Education Ministers, and is the same method referenced in Anabin, the official German database for foreign qualifications, and used by uni-assist when it issues an official conversion for a university application.

Grading systems around the world work on completely different scales. An 85 percent from Pakistan, a 3.8 GPA from the United States, and a 7.5 CGPA from India cannot be compared directly just by looking at the numbers. The formula solves this by anchoring your grade between two fixed reference points from your own system: the highest possible score and the lowest score that still counts as a pass.

The closer your grade sits to your home system's maximum, the closer your German equivalent moves toward 1.0. A grade sitting right at the passing threshold converts to roughly 4.0, the lowest passing grade in the German system. This proportional approach is what makes the formula work fairly across very different grading systems, without needing a separate lookup table for every country.

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

NdYour obtained grade — the exact value from your official transcript NmaxThe maximum grade your home system awards — for example 100 for a percentage scale, 4.0 for US GPA, or 10 for a CGPA out of 10 NminThe minimum passing grade in your home system — for example 40 or 50 for a percentage scale, or 2.0 for a GPA scale

The result is rounded to one decimal place and clamped between 1.0 and 5.0. Any value above 4.0 falls into the Nicht bestanden band, meaning not passed.

How To Use

How to Calculate Your German Grade

1

Enter Your Maximum Grade

Type the highest possible grade in your system: 100 for a percentage scale, 10 for a CGPA out of 10, or 4.0 for US GPA.

2

Enter Your Passing Threshold

Enter the minimum grade needed to pass in your system, commonly 40 or 50 percent for Pakistani universities, or 2.0 for US GPA.

3

Enter Your Obtained Grade

Type your actual grade from your official transcript, using the same unit as the two values above.

4

Read Your Result

Your converted German grade appears instantly, alongside typical admission ranges reported for TUM, RWTH Aachen, LMU, and KIT.

German Grading Scale

Understanding the German 1.0 to 5.0 Scale

Germany uses a 1.0 to 5.0 scale where lower numbers mean better performance, the reverse of most systems international students are used to. A perfect score is 1.0, a satisfactory pass sits around 3.0, and 4.0 is the last acceptable passing grade. Anything above 4.0 is a fail.

  • 1.0 to 1.5 (Sehr gut): Excellent, a strong applicant for elite programs at TUM, RWTH, and LMU.
  • 1.6 to 2.5 (Gut): Good, competitive at most German public universities for Engineering and CS master's.
  • 2.6 to 3.5 (Befriedigend): Satisfactory, may qualify at Fachhochschulen and some public university programs.
  • 3.6 to 4.0 (Ausreichend): Sufficient, a marginal pass with limited options at research universities.
  • 4.1 to 5.0 (Nicht bestanden): Fail, does not meet admission requirements for German universities.
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Note: Your converted grade is one factor among several. German universities also assess your motivation letter, letters of recommendation, relevant work experience, language proficiency (typically B2 to C1 German, or IELTS 6.5 or higher for English taught programs), and sometimes standardised test scores such as the GRE.

Pakistani Applicants

CGPA and Percentage to German Grade, for Pakistani Applicants

For Pakistani students, the most common inputs are:

  • Percentage based, HEC system: Nmax = 100, Nmin = 40 or 50 depending on your university's regulations, Nd = your percentage.
  • CGPA out of 4.0: Nmax = 4.0, Nmin = 2.0, Nd = your CGPA.
  • CGPA out of 10: Nmax = 10, Nmin = 5.0, Nd = your CGPA.

If you are unsure of your institution's minimum passing grade, check your official degree handbook or the grading legend printed on your transcript. Using the wrong Nmin value will produce an inaccurate conversion, so it is worth confirming before you rely on the result for an application.

Admission Cutoffs

Master's Admission Cutoffs at a Glance

Commonly reported grade ranges for Engineering, Computer Science, and Science programs at several well known German universities. These figures shift from one admission cycle to the next and vary by specific program, so treat them as a general guide rather than a guarantee, and always verify current requirements directly with the university.

  • TU Munich (TUM): typically around 1.6 to 2.0 for Engineering and Computer Science.
  • RWTH Aachen: typically around 1.8 to 2.3.
  • LMU Munich: typically around 1.7 to 2.2 for science programs.
  • KIT: broadly comparable to TUM and RWTH for technical programs, though exact figures vary by department.
FAQ

Frequently Asked Questions

It is the standard grade conversion method stipulated by resolution of the Kultusministerkonferenz, Germany's Standing Conference of Education Ministers. It uses your home system's maximum grade and minimum passing grade as anchor points to proportionally map your grade onto Germany's 1.0 to 5.0 academic scale, which keeps the conversion fair across very different grading systems.

A 2.0, or Gut, is competitive at most German public universities. TU Munich typically expects around 1.6 to 2.0 for Engineering and Computer Science, RWTH Aachen around 1.8 to 2.3, and LMU Munich around 1.7 to 2.2 for sciences. Your grade is one factor. A strong motivation letter, proof of language ability, and good references still matter significantly.

For HEC affiliated Pakistani universities, the standard minimum passing grade is either 40 or 50 percent depending on the institution and program. Check your university's official academic regulations or degree handbook to be sure. If you genuinely cannot find the exact threshold, 40 percent is the conservative default used by most Pakistani public universities.

Yes, the formula is not tied to any one country. For US GPA on a 4.0 scale with a 2.0 passing grade, enter Nmax = 4.0 and Nmin = 2.0. For a UK percentage system with a typical 40 percent pass mark, enter Nmax = 100 and Nmin = 40. Always use the correct minimum passing value for your specific institution rather than a generic assumption.

This calculator applies the standard Modified Bavarian Formula accurately for self assessment and planning. German universities still conduct their own official evaluation, usually through their admissions office or through uni-assist, Germany's central application service, which issues a legally binding Vorpruefungsdokumentation. Use this tool to understand roughly where you stand, not as a substitute for that official assessment.

Nicht bestanden means not passed. Any converted German grade above 4.0 falls in this band. In a conversion context this happens when your obtained grade sits close to your home system's minimum passing threshold, so your proportional performance maps to below Germany's passing point. It does not mean you failed your actual degree, only that this specific conversion result falls below the German passing threshold.

No. The Modified Bavarian Formula is a purely academic calculation and has nothing to do with currency exchange rates. Your converted grade depends only on the three numerical values you enter and stays the same regardless of what happens in currency markets.

References

Official References

  • uni-assist, the central application service for German universities, at uni-assist.de
  • Anabin, the KMK database for foreign qualifications, at anabin.kmk.org
  • DAAD, the German Academic Exchange Service, at daad.de
⚠ Disclaimer

This calculator applies the Modified Bavarian Formula as stipulated by resolution of the Kultusministerkonferenz. Results are indicative estimates for self assessment purposes only. University admission cutoffs shown are based on publicly reported typical ranges and may change with each admission cycle. Always verify current requirements directly with the relevant university or through uni-assist.de before applying.

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