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Grading Scale Converter

Converts a grade between 12 national systems using the modified Bavarian formula, and says which conversions are actually defined and which are convention.

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In short Exactly one grade conversion in the world is defined arithmetic, and it is the modified Bavarian formula: German grade = 1 + 3 × (Nmax − Nd) ÷ (Nmax − Nmin), where Nmax is the best attainable grade, Nmin the minimum pass and Nd what you were awarded. German universities use it to place a foreign grade on their 1–6 scale, and it fixes both ends by construction — the top grade always becomes 1.0 and the bare pass always becomes 4.0. So a British 70, the bottom of a First, comes out at German 2.5, and a British 40 comes out at exactly 4.0. Everything else is convention or nothing. "A 2:1 is about a 3.3 GPA" is what admissions offices print; no standards body publishes it. And the one organisation that came closest deliberately stopped: the ECTS A–F percentile bands were removed from the 2009 ECTS Users' Guide because people were using them as a conversion table, and the replacement is a grade distribution table — where you sat in your own cohort, not what the number was. The deeper problem is that scales differ in shape and not just in range. British marking is compressed at the top, where 70 is the highest classification and marks above 80 are rare. The French 0–20 scale reserves its last few points for practically nobody. Dutch 9s and 10s are close to unheard of. A conversion moves the number and leaves the distribution behind, which is why a French 14 or a British 72 so often reads abroad as mediocre when it is nothing of the sort. Use a converted grade to start the conversation with the receiving institution, never to end it.

How to use the Grading Scale Converter

  1. Pick the system your grade is on and enter the grade.
  2. Pick the system you want it in.
  3. Read the result, and read the line saying whether it is defined or conventional.

About the Grading Scale Converter

Converts between twelve national grading systems and labels every answer as defined arithmetic or as convention, because only one of the two is real.

What people use it for

  • Putting a foreign grade on the German scale for a university application.
  • Understanding what a grade from another country actually means.
  • Checking whether a conversion someone has quoted you is a standard or a habit.

Details

The one defined conversionThe modified Bavarian formula, used by German universities
It pins both endsBest grade → 1.0 German; pass mark → 4.0 German, always
UK 70German 2.5 — the bottom of a First
ECTS lettersRemoved from the 2009 Users' Guide; not a conversion table
Germany and SwitzerlandBoth 1–6, both pass at 4, opposite directions
Systems covered12
PrivacyThe arithmetic runs in your browser. Nothing you type is sent anywhere

The maths behind it

This tool uses the modified Bavarian formula, German grade = 1 + 3 × (best − yours) ÷ (best − pass). It is the method German universities use to place a foreign grade on their own 1–6 scale, and it pins both ends by construction: the best attainable grade always gives exactly 1.0 and the minimum pass exactly 4.0. Every intermediate value is shown on screen, so the result can be checked by hand.

Every result here says whether it is defined arithmetic or a convention. That distinction is the point of the tool — a converter that prints both with the same confidence is the thing this one exists to replace.

Where this tool stops

It converts a single grade, not a transcript. Weighting by credits, handling distinctions that are not numbers (Italian 30 e lode, Spanish matrícula de honor), and cohort position are all outside what a formula can do. It also cannot know your institution's own pass mark where that differs from the national one.

Frequently asked questions

What is the modified Bavarian formula?
German&nbsp;grade&nbsp;=&nbsp;1&nbsp;+&nbsp;3&nbsp;&times;&nbsp;(N<sub>max</sub>&nbsp;&minus;&nbsp;N<sub>d</sub>)&nbsp;&divide;&nbsp;(N<sub>max</sub>&nbsp;&minus;&nbsp;N<sub>min</sub>). N<sub>max</sub> is the best grade your system offers, N<sub>min</sub> the lowest pass, N<sub>d</sub> your grade. It is the method German universities apply to foreign transcripts, and it is the only conversion on this page that anybody actually publishes.
What is a UK 2:1 in GPA?
Around a 3.3, and that figure is a convention rather than a standard &mdash; different American universities read it differently. What can be said precisely is the German equivalent: a 65 comes out at 2.75 by the Bavarian formula, because the formula is defined and the GPA mapping is not.
Why does this tool not convert to ECTS grades?
Because ECTS stopped being a conversion table on purpose. The A&ndash;F percentile bands were removed from the 2009 ECTS Users' Guide precisely because they were being misused this way, and replaced by a grade distribution table: you compare where you ranked within your own cohort. Printing an ECTS letter here would be reporting something the standard deliberately withdrew.
Is a Swiss 5 the same as a German 5?
They are opposites. Both countries grade 1 to 6 and both pass at 4, but Germany counts down &mdash; 1 is the best &mdash; and Switzerland counts up. A Swiss&nbsp;5 is a good grade; a German&nbsp;5 is a fail. Nothing in the number tells you which you are holding, which makes this the most dangerous pair of scales in the tool.
Can I use a converted grade on an application?
Only as a starting point. No official body converts grades between countries, and the receiving institution decides its own method &mdash; some use the Bavarian formula, some use their own table, some ask a credential evaluator. Quote your original grade and let them convert it; a number you produced yourself carries no weight and can look like an overstatement.
Does the Grading Scale Converter cost anything?
No charge and no sign-up. There is no free tier to run out of because there is no paid tier — inputtesthub.com is funded by advertising rather than by metering the utility.
Is my data uploaded anywhere?
No. The Grading Scale Converter runs entirely in your browser using JavaScript. Your input never reaches inputtesthub.com or any third party — open your browser's Network tab while you use it and you will see no request go out.
Can I check the maths myself?
It uses the modified Bavarian formula, German grade = 1 + 3 × (best − yours) ÷ (best − pass). It is the method German universities use to place a foreign grade on their own 1–6 scale, and it pins both ends by construction: the best attainable grade always gives exactly 1.0 and the minimum pass exactly 4.0. The full working is printed under the result, so you can follow every step rather than trusting a black box.
Who is the Grading Scale Converter for?
In practice it gets used for three things: putting a foreign grade on the German scale for a university application. Understanding what a grade from another country actually means. Checking whether a conversion someone has quoted you is a standard or a habit. It is built for exactly those cases rather than being a general-purpose tool with this bolted on.
What are the limits of the Grading Scale Converter?
It converts a single grade, not a transcript. Weighting by credits, handling distinctions that are not numbers (Italian 30 e lode, Spanish matrícula de honor), and cohort position are all outside what a formula can do. It also cannot know your institution's own pass mark where that differs from the national one. Knowing where a tool stops being trustworthy matters more than the cases where it works.
What are the reference figures here?
The one defined conversion is The modified Bavarian formula, used by German universities. It pins both ends is Best grade → 1.0 German; pass mark → 4.0 German, always. UK 70 is German 2.5 — the bottom of a First. These are printed on the page itself, so you do not have to take them on trust.
Can I rely on this for exact work?
The calculation runs in double precision and the result is shown to ten significant figures, so converting a value and converting it back returns the original. What is displayed is rounded for readability; what is copied is not.

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