Grades
How To Convert A Percentage To A Letter Grade
A grade scale is the table that turns a percentage into a letter. The cut-offs differ between schools, so the first step is always to check which scale you are being marked against.
Quick Answer
letter = the band the percentage falls into
- percentage
- The score as a percentage of the total marks
- letter
- The letter grade the percentage falls into
- points
- Grade points the letter is worth on a four point scale
- cut-off
- The lowest percentage still inside a band
Find the band your percentage falls into. On the plus and minus scale 85 percent is a B worth 3.0 grade points, 2 points below the 87 needed for a B plus and 25 points above the 60 that passes. Switching to the ten point scale widens the bands, so the same 85 sits 5 points below the 90 that would make it an A.
What Is How To Convert A Percentage To A Letter Grade?
A grade scale is the mapping between a percentage and a letter. It is a table of bands, each with a lower cut-off, and a percentage belongs to whichever band it falls into. The scale itself is a convention rather than a mathematical result, which is why the same 85 percent can be a solid B at one school and a low B at another.
The most common American scale uses ten point bands: 90 and above is an A, 80 to 89 a B, 70 to 79 a C, 60 to 69 a D, and anything below 60 an F. This is sometimes called the straight ten point scale, and it is the one most people picture when they think of letter grades.
Many schools use a finer version with plus and minus grades. The bands are narrower and shifted, typically 93 for an A, 90 for an A minus, 87 for a B plus, 83 for a B and 80 for a B minus. On that scale an 85 percent is a B, but a 92 is an A minus rather than an A, which is a meaningful difference for anyone tracking a grade point average.
The cut-off is the important number, not the band label. Being two points above a cut-off and two points below the next one is exactly the same position on the scale, and it is worth knowing how much a single assignment can move you across a boundary. On the standard scale the boundaries sit every ten points, so they are comparatively far apart.
Letters are usually given grade points so that an average can be calculated. On the common four point scale an A is 4.0, a B is 3.0, a C is 2.0 and a D is 1.0, with an F worth nothing. Plus and minus grades shift these by roughly a third of a point: an A minus is 3.7, a B plus is 3.3, and a B minus is 2.7.
A passing grade is not the same as a good grade, and the threshold differs by context. In most American schools 60 percent is the pass mark, but a course within a major may require a C or better to count towards the degree, and a graduate programme may require a B. The letter that counts as passing is therefore a departmental rule, not a property of the scale.
Rounding rules matter at the boundary. An 89.5 percent is not an 89 or a 90 by itself; it becomes one or the other depending on whether the school rounds to the nearest whole number or truncates. Some instructors round only the final course grade and not individual assignments, which changes the outcome for anyone sitting just below a cut-off.
Different countries use entirely different scales. The United Kingdom marks in bands with 70 percent as a first class degree, which would be an unremarkable C in the United States. Germany runs from 1 to 6 with 1 the best, and France marks out of 20. Converting between them is not a simple linear mapping, which is why transcripts usually come with an explanatory key.
Grade scales interact with weighted grades and grade point averages. A course grade arrives as a percentage, the scale turns it into a letter, and the letter's grade points feed the GPA calculation. Each step discards some information, so two students with slightly different percentages can end up with identical GPAs once the rounding has happened.
The practical use of knowing your scale is planning. If 85 is a B and 87 is a B plus, you know precisely how much the next assignment needs to move you. Checking the scale before an exam is worth more than estimating the score afterwards, because it tells you which points are actually worth chasing.
Formula
letter = the band whose cut-off is the highest one the percentage reaches
A letter grade is not computed, it is looked up. The percentage belongs to the highest band whose lower cut-off it meets or exceeds.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| percentage | Percentage | % | The score as a percentage of the total marks. |
| cutoff | Cut-off | % | The lowest percentage still inside a band. |
| letter | Letter grade | letter | The label attached to that band. |
GPA contribution = grade points x credit hours
The letter's grade points multiplied by the course credits give the quality points the course contributes to a GPA.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| g | Grade points | points | The value of the letter, from 0 for an F to 4.0 for an A. |
| c | Credit hours | credits | The weight of the course. |
| points | Quality points | points | What the course adds to the GPA numerator. |
points needed = next cut-off - percentage
How far the current percentage sits below the next letter up. The reverse, against the current band's cut-off, is the cushion you have.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| Delta | Points to the next grade | % | How many percentage points are needed to move up a band. |
| cutoff_next | Next cut-off | % | The lowest percentage of the next band up. |
| percentage | Percentage | % | The score you currently hold. |
How To Calculate How To Convert A Percentage To A Letter Grade
- 1
Check which scale your school uses
The straight ten point scale and the plus and minus scale give different letters for the same percentage. An 89 is an A on the ten point scale but a B plus on most plus and minus scales, so the scale has to be settled first.
- 2
Find the band the percentage falls into
Read down the cut-offs until the percentage drops below one. On the standard scale 85 sits below 90 and at or above 80, so it is a B. Nothing is calculated here; it is a lookup.
- 3
Read off the grade points
A B is worth 3.0 on the four point scale. On the plus and minus scale the letter would come with 3.3 for a B plus, 3.0 for a B and 2.7 for a B minus, so the finer scale gives a more precise number.
- 4
Measure the distance to the next band
Subtract the percentage from the next cut-off. An 85 on the standard scale is 2 points below the 87 needed for a B plus on the finer scale, and 5 points below the 90 that would make it an A on the ten point scale.
- 5
Apply your school's rounding rule last
Rounding to the nearest whole number can push an 89.5 into the next band. Do the rounding after choosing the scale and after the final course grade is computed, not on individual assignments, because the rules usually differ.
Examples
Example 1: 85 percent on the standard ten point scale
- Percentage
- 85%
- Scale
- Standard 90/80/70/60
| Step | Calculation | Result |
|---|---|---|
| Band it falls into | 80 <= 85 < 90 | B |
| Grade points | B on the four point scale | 3 |
| Points above the pass mark | 85 - 60 | 25 |
Result: On the standard scale 85 percent is a B, worth 3 grade points, and it sits 25 percentage points above the 60 that passes.
Example 2: 89 percent on the plus and minus scale
- Percentage
- 89%
- Scale
- Plus and minus 93/90/87/83/80
| Step | Calculation | Result |
|---|---|---|
| Band it falls into | 87 <= 89 < 90 | B+ |
| Grade points | B plus on the four point scale | 3.3 |
| Points below the next cut-off | 90 - 89 | 1 |
Result: On the plus and minus scale 89 percent is a B plus worth 3.3 grade points, and it is 1 point below the 90 needed for an A minus.
Example 3: 72 percent on the standard ten point scale
- Percentage
- 72%
- Scale
- Standard 90/80/70/60
| Step | Calculation | Result |
|---|---|---|
| Band it falls into | 70 <= 72 < 80 | C |
| Grade points | C on the four point scale | 2 |
| Points above the pass mark | 72 - 60 | 12 |
Result: A score of 72 percent on the standard scale is a C worth 2 grade points, which is 12 percentage points clear of the 60 needed to pass.
Calculator
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Common Mistakes
Assuming every school uses the same cut-offs
A 90 is an A on the straight ten point scale but an A minus on most plus and minus scales. Quoting a letter without naming the scale is meaningless, and the error costs real grade points at the boundary.
Rounding individual assignments instead of the final grade
Most schools round only the final course grade. Rounding each assignment up first lets small gains accumulate into a letter change that the official calculation would not award.
Treating a passing grade as good enough
Sixty percent passes in the general sense, but a course in your major may require a C and a graduate programme a B. The pass mark for the purpose that matters is the one printed in the course handbook.
Confusing a letter grade with grade points
A B is a letter and 3.0 is the number of grade points it carries. The letter is what appears on the transcript and the points are what feed the GPA, and they are not interchangeable in a calculation.
Reading a percentage as a percentage of the grade rather than of the marks
Eighty five percent means 85 marks out of every 100 available, not 85 percent of the way to an A. The distinction matters when the total available marks differ between assignments.
Ignoring that different countries mark on different scales
Seventy percent is a first class degree in the United Kingdom and an unremarkable C in the United States. Comparing percentages across systems without converting produces conclusions that are simply wrong.
FAQ
What letter grade is 85 percent?
On the standard ten point scale 85 percent is a B, worth 3.0 grade points. On the plus and minus scale it is also a B, sitting between the 83 that starts the B band and the 87 that starts the B plus band.
How do I convert a percentage to a letter grade?
Find the band your percentage falls into by reading down the cut-offs until it drops below one. It is a lookup rather than a calculation. On the standard scale 90 is an A, 80 a B, 70 a C and 60 a D.
What is the difference between the ten point scale and the plus and minus scale?
The ten point scale uses wide bands with no plus or minus grades. The plus and minus scale splits each letter into three narrower bands, so 93 is an A, 90 an A minus and 87 a B plus, which gives a more precise grade point value.
What is a passing grade?
On most American scales 60 percent, a D minus, is the minimum pass. Many departments require a C in courses counted towards a major, and graduate programmes often require a B, so the effective pass mark depends on the course.
How many grade points is each letter worth?
On the four point scale an A is 4.0, a B is 3.0, a C is 2.0 and a D is 1.0, with an F worth nothing. Plus and minus grades shift these by about a third of a point, so an A minus is 3.7 and a B plus is 3.3.
Does rounding affect my letter grade?
It can, right at a boundary. An 89.5 percent becomes an A if the school rounds to the nearest whole number and a B if it truncates. Most schools round only the final course grade, not individual assignments.
References
- [1]Wikipedia, Academic grading in the United States — https://en.wikipedia.org/wiki/Academic_grading_in_the_United_States
- [2]Wikipedia, Grading in education — https://en.wikipedia.org/wiki/Grading_in_education
- [3]Wikipedia, Grading systems by country — https://en.wikipedia.org/wiki/Grading_systems_by_country
- [4]Wikipedia, Grade point average — https://en.wikipedia.org/wiki/Grade_point_average