Convert a grade between scales
converted grade = grade ÷ starting maximum × target maximum
A grade out of 45 points, a report card out of 20, a transcript out of 100: the honest conversion between numeric scales is proportional, and this tool does it both ways for any maximums, with the percentage as the common language and the equivalents out of 20, 100 and 10 shown by default. It also offers quarter-point and half-point roundings, the usual scale steps. It refuses, however, to convert to US GPA, honours classes or ECTS grades, and says why: those mappings are not proportional and belong to institutions alone.
16.444
- Calculation
- 37 / 45 × 20 = 16.444
- Rounded to the half point
- 16.5
37 out of 45 equals 16.444 out of 20.
The conversion is proportional: a point is a point, and the percentage is the common language of every numeric scale. It is the only conversion that assumes nothing beyond the rule of three.
Quarter-point and half-point roundings are offered because they are the usual scale steps; the exact grade remains the reference, rounding is the marker’s call.
This tool does not convert to US GPA, honours classes or ECTS grades: those mappings are not proportional and vary between institutions, often between years. A table shown here would look like an authority it does not have; the only valid source is the registrar concerned.
Scientific dossier
What the tool computes, what it assumes, where it stops being valid, and where its data comes from.
Method & formulasconverted grade = grade ÷ starting maximum × target maximum
converted grade = grade ÷ starting maximum × target maximum
14/20 = 70/100 = 7/10 = 70%
It is the rule of three, and nothing else: the conversion preserves the proportion, hence the percentage. One point of the starting scale is worth exactly its share of the target scale, with no threshold or step.
- Scale
- · the maximum possible grade: 20, 100, 10, or the point total of an exam paper.
- Percentage
- · the grade brought to 100: the common language that lets any two scales be compared.
- Rounding step
- · the smallest gap between two grades of a scale: often the quarter or the half point.
Validity domainUS GPA, French honours and ECTS grades are not proportional numeric scales: their mappings vary between institutions, often between years, and depend on the grade distribution more than on the grade itself.
US GPA, French honours and ECTS grades are not proportional numeric scales: their mappings vary between institutions, often between years, and depend on the grade distribution more than on the grade itself. Publishing a table here would give it an air of authority it does not have; the only valid source is the registrar or the exchange agreement concerned.
Reading the resultThe exact grade is the reference; quarter-point and half-point roundings are offered because they are the usual steps, but rounding is the marker’s call, not the conversion’s.
The exact grade is the reference; quarter-point and half-point roundings are offered because they are the usual steps, but rounding is the marker’s call, not the conversion’s. A grade above its starting scale is refused: nine times out of ten, the two fields were swapped.