Grade conversion between scales
A grade from one scale to another, out of 20, 100, 10 or any point total, with the percentage and the usual roundings.
Result
16.444
- Calculation
- 37 / 45 × 20 = 16.444
- Rounded to the half point
- 16.5
- Percentage
- 82.222 %
- Out of 20
- 16.444
- Out of 10
- 8.2222
Notes (2)
37 out of 45 equals 16.444 out of 20.
The exact grade is the reference; rounding is the marker’s call.
Calculation, assumptions and sources
OverviewProportional conversion of a grade between any two scales (out of 45 points, 20, 100…), with the percentage and the equivalents out of 20, 100 and 10.
Proportional conversion of a grade between any two scales (out of 45 points, 20, 100…), with the percentage and the equivalents out of 20, 100 and 10. Quarter-point and half-point roundings offered. US GPA, honours classes and ECTS grades are not converted.
Method & formulasconverted grade = grade ÷ starting maximum × target maximum
A rule of three: the conversion preserves the percentage, 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, common to all scales.
- 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 to marks.
US GPA, French honours and ECTS grades are not proportional to marks. Their mappings vary with the institution and the year, and depend on the grade distribution; they are set by the registrar or the exchange agreement concerned.