What is the Modified Bavarian Formula?

The Modified Bavarian Formula is the official standard used by German universities to convert foreign academic grades (such as CGPAs out of 4.0 or percentages) into the German grading scale (ranging from 1.0 to 5.0, where 1.0 is the best).

How is CGPA converted to German Grade?

The formula is: German Grade = 1 + 3 * [(Nmax - Nd) / (Nmax - Nmin)], where Nmax is the maximum possible grade (e.g. 4.0), Nmin is the passing grade (e.g. 2.0), and Nd is your obtained grade (e.g. 3.5).

What is a good German grade for Pakistani students?

A German grade between 1.0 and 1.5 is "Excellent" (Sehr Gut), 1.6 and 2.5 is "Good" (Gut), and 2.6 and 3.5 is "Satisfactory" (Befriedigend). Most competitive programs in Germany require a grade of 2.5 or better.

Does Germany use 4.0 or percentage for passing?

For Pakistani universities on a 4.0 GPA scale, the passing limit is usually 2.0. For percentage-based systems, it is typically 50%. Our calculator lets you customize both maximum and passing grades.

German CGPA Calculator

Convert your university GPA or percentage to the German grading scale using the Modified Bavarian Formula (Modifizierte Bayerische Formel).

GPA Hub CGPA to Percentage

Bavarian Formula Calculator

Your Obtained CGPA (N_d)Maximum Grade (N_max)Minimum Passing Grade (N_min)

German Grade Equivalent1.75Gut (Good)

Bavarian Formula Explained

German universities assess international credentials using the Modified Bavarian Formula. The calculation transforms your home system GPA or marks into the German 1.0 to 5.0 scale, where:

1.0 (Sehr Gut): Excellent - highest achievable grade.
4.0 (Ausreichend): Sufficient - minimum grade required to pass.
5.0 (Nicht Ausreichend): Failing grade.

German Grade = 1 + 3 * [ (N_max - N_d) / (N_max - N_min) ]

Where:

N_max: Maximum possible grade (usually 4.0 for GPA or 100 for percentage).
N_min: Minimum passing grade (usually 2.0 for GPA or 50 for percentage).
N_d: Your obtained GPA/percentage.

Quick Conversion Reference (4.0 Scale)

Standard equivalency values computed using the Bavarian Formula (N_max = 4.0, N_min = 2.0):

Obtained CGPA	German Grade	Academic Classification
4.00	1.00	Sehr Gut (Excellent)
3.80	1.30	Sehr Gut (Very Good)
3.60	1.60	Gut (Good)
3.40	1.90	Gut (Good)
3.20	2.20	Gut (Good)
3.00	2.50	Gut (Good)
2.80	2.80	Befriedigend (Satisfactory)
2.50	3.25	Befriedigend (Satisfactory)
2.00	4.00	Ausreichend (Sufficient)
Under 2.00	5.00	Nicht Ausreichend (Fail)

German GPA Converter

Convert your Pakistani grades to German equivalents for higher education applications in Germany.

German CGPA Conversion — Study in Germany Facts

Germany uses an inverse grading scale where 1.0 is the best possible score and 4.0 is the minimum passing threshold.

Any score higher than 4.0 (like 4.1 to 5.0) represents a failing grade.

German Academic Exchange Service (DAAD)

The Modified Bavarian Formula is widely accepted across public and private German universities for APS certificate verification and direct admissions.

Calculated as: German Grade = 1 + 3 * [(Nmax - Nd) / (Nmax - Nmin)].

Kultusministerkonferenz (KMK)

A result below 2.5 is generally needed to qualify for competitive English-taught Master's programs in German universities.

Programs in fields like Computer Science and Engineering are particularly competitive.

University Admission Portals

Is a lower German grade better?

Yes, a lower grade is better. 1.0 is the highest grade (sehr gut) while 4.0 is passing.

What passing grade should I use for HEC Pakistan?

Most HEC-regulated universities require a 2.0 GPA or 50% marks to pass, which should be set as Nmin.

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