GradesFreeNo signup

Grade Percentage Calculator

Forty-two out of fifty is 84.00%, and that is the only part of this page that is not a judgement call. What 84.00% is worth is set by your institution or your instructor, and the published scales disagree: a 91% is an A− at Quinnipiac University and an A+ at the University of Toronto, and at Georgia Tech there is no A+ or A− to be had at all.

Last updated 1 October 2026

The percentage is exact. The letter is a guess. This page divides points earned by points possible and multiplies by 100, which is not in dispute. The letter beside it comes from one common plus/minus scale that this page carries, and no national body sets that scale: the sources below show five named institutions whose published scales disagree about the same score, and several that publish no percentages at all. Use your syllabus for the letter. The grade of record is the one your instructor submits.

The arithmetic, and then the part that is not arithmetic

Points earned, divided by points possible, times 100. Forty-two out of fifty is 42 ÷ 50 × 100 = 84.00%. Forty-five out of fifty is 90.00%. Nothing about that step is open to interpretation, and a calculator is only saving you a division.

The second step is where the pages that answer this question tend to go quiet. Converting 84.00% into a letter requires a table of cutoffs, and the cutoffs are set by an institution or by an individual instructor. Georgia Tech’s catalog is a clean illustration, because it defines the letters and declines to attach percentages to them at all:

Georgia Tech’s grading system, quoted

AExcellent. Four quality points.
BGood. Three quality points.
CSatisfactory. Two quality points.
DPassing. One quality point.
FFailure. No quality points. If the course is required, the student must repeat it.

That is the whole scale for graded work, and the registrar’s own grading-system page lists the same five letters with the same quality points and no percentages. There is no A+, no A−, no B+ to be had. The conversion is handed to the instructor, and the university’s syllabus guidance says so with a blank left in the sentence: “Students should be able to easily translate their scores on assignments to their course letter grade. The criteria for final grades should be clearly indicated on the syllabus. For example, A grade of ‘A’ corresponds to a percentage grade of __% or above”, alongside the statement that “It is the responsibility of the instructor to design assignments and scoring criteria.”

So on a Georgia Tech transcript your 84.00% is one of exactly five letters, and which one it is cannot be looked up anywhere but your syllabus.

The same score on five published scales

Plenty of institutions do publish percentage bands. They do not agree with each other. These are quoted from the institutions’ own catalogs and registrar pages, read on 1 October 2026.

Published undergraduate bands at the top of the scale

Quinnipiac UniversityA 93–100 · A− 90–92
Purdue University GlobalA 93–100 · A− 90–92.99
National UniversityA 94–100 · A− 90–93.99
University of TorontoA+ 90–100 · A 85–89
Loyola Law School, LMUA+ 91–93 · A 88–90

Now take one score and read it off each of them. A 91.00% is an A− at three of the five and an A+ at the other two. That is not a near-miss between adjacent grades; it is the difference between the bottom of the A range and the top of it.

What 91.00% is called

Quinnipiac UniversityA−
Purdue University GlobalA−
National UniversityA−
University of TorontoA+
Loyola Law School, LMUA+
This pageA−

An 86.00% splits the same way in the other direction. It sits inside the B band at Quinnipiac (83–86), at Purdue Global (83–86.99) and at National University (83–86.99), and inside the A band at the University of Toronto (85–89). One score, two names from opposite ends of the top of the scale.

What 86.00% is called

Quinnipiac UniversityB
Purdue University GlobalB
National UniversityB
University of TorontoA
This pageB

And a 93.00%, which almost everyone would call a clean A, is an A at Quinnipiac and Purdue Global, an A+ at Toronto, and an A− at National University, whose A band does not start until 94. If you are converting a transcript, or comparing yourself with a friend at another school, the comparison is not meaningful without both scales in front of you.

Two of these catalogs do not cover 89.5 at all

Look again at Quinnipiac’s bands: B+ is 87–89 and A− is 90–92. A score of 89.5 is in neither. The same gap appears at Toronto, where A is 85–89 and A+ is 90–100. The catalogs are written in whole numbers, and a course average almost never is.

National University and Purdue Global close the gap by running their bands to two decimals, 87–89.99 and 90 upward, which answers the question: 89.5 is a B+. The other two leave it to whoever enters the grade, which is the instructor.

That decision is normally made by moving a threshold rather than by rounding a number. The University of Oklahoma’s guidance for instructors describes the mechanism: “Canvas allows you to adjust grade thresholds—such as setting an A to start at 89.5% to align with your rounding practices.” If your instructor has done that, the A begins at 89.5 and there is nothing to round. If they have not, it begins at 90 and there is nothing to round either. Either way, the question “will it get rounded up” is really the question “where is the threshold”, and only your syllabus has it.

There is a quieter point underneath. The points in your course decide which percentages can exist at all. In a 500-point course, 447 points is 89.40% and 448 is 89.60%; no whole number of points produces 89.50%. A cutoff set at 89.5 is therefore not a tie-break, it is a boundary that in practice sits at 89.6. Before arguing about half a point, work out whether half a point is reachable.

Where this page’s own letter comes from, and where it departs from a real scale

The letter on this page is read off a single built-in table, and it is worth knowing exactly what that table is rather than treating it as authoritative. It starts an A+ at 97, an A at 93, an A− at 90, a B+ at 87, a B at 83, a B− at 80, a C+ at 77, a C at 73, a C− at 70, a D+ at 67, a D at 63, a D− at 60, and calls everything below 60 an F.

From the A down to the C−, those thresholds are identical to the bands Quinnipiac publishes. Below and above that range it diverges in two ways that will matter to somebody:

Where the built-in scale is its own invention

A+ at 97 and aboveQuinnipiac awards no A+
D+ 67, D 63, D− 60Quinnipiac has one D, 60–69

And if your institution awards no plus and minus grades, every modifier on this page is an artefact of the page. Georgia Tech, quoted above, has five letters. Baylor University’s registrar publishes a standard scale of letters and grade points with no percentages attached, and notes that “This Grade Scale applies to all levels of the university, with the exception of the Law School” — so even inside one institution there can be more than one scale.

Several universities deliberately publish no percentage scale

The absence is a policy, not an oversight. Brigham Young University’s registrar states it directly: “There is no official university grading scale (e.g. 92-100 A, 89-91 A-, etc.). Individual departments may have a specified scale that instructors use.”

The University of Kentucky’s chemistry department answers the same question from the student’s side, under the heading “Doesn’t the University rules say that 90% is always an A?”. Its answer is that grade cutoffs “are established by each instructor for their course and are given in the course syllabus”, and that the university “does not establish any grade cutoffs based on points or percentages”.

Even Quinnipiac, which does publish a percentage table, locates the authority in the same place: “Faculty members are the most appropriate judges of how students perform academically.” Read all three together and the conclusion is unavoidable. A percentage is a measurement; a letter is a decision somebody made about the measurement, and no calculator is party to it.

Above 100%, and the five points that can be worth ten

A score over 100% is not an error. Fifty-five points out of a possible fifty is 110.00%, and it happens whenever points land in the numerator without being added to the denominator. Extra credit is the usual reason.

Which makes where the extra credit is booked more consequential than how much of it there is. Take a 50-point quiz with a 5-point bonus question. You score 45 on the quiz and get the bonus right.

Same performance, three defensible percentages

45 of 50, bonus not counted90.00%
50 of 50, bonus added to earned only100.00%
50 of 55, bonus added to both90.91%

Ten percentage points of spread, decided entirely by a bookkeeping convention you cannot see from the score. If a quiz comes back with a percentage you did not expect, this is the first thing to check: whether the bonus raised the top of the fraction, the bottom, or both.

Nine out of ten and ninety out of a hundred are not the same measurement

Both are 90.00%, and this page will report them identically, because by its own arithmetic they are identical. They are not the same information.

On the ten-point quiz, one mark is worth ten percentage points: 9 of 10 is 90.00% and 8 of 10 is 80.00%, with nothing in between. On the hundred-point exam one mark is worth one point: 90 of 100 is 90.00% and 89 of 100 is 89.00%. The same letter grade is one wrong answer away in the first case and ten wrong answers away in the second.

This is why the number of points a score was computed from belongs in your notes next to the percentage, and why a run of small quizzes is a noisier picture of what you know than one large exam at the same average. It is also why your course grade is usually not the average of your percentages: a gradebook typically totals points inside a category, so a 10-point quiz and a 100-point quiz sitting in the same category are not equal partners in it. The final grade calculator works that arithmetic through with figures.

A curve replaces the scale entirely

Everything above assumes an absolute standard: a fixed table, applied to whatever you scored. The University of Illinois’s guidance for instructors names the alternative and the difference. Grades “may be obtained by comparing a student’s performance with specified absolute standards rather than with such relative standards as the work of other students”, and under an absolute standard “It is possible in a given class that all students could receive an ‘A’ or a ‘B.’”

Under a relative standard, a percentage on its own tells you nothing at all, because your letter depends on everyone else’s. The guide notes that the method “is complicated by the need to establish arbitrary quotas for each grade category”, and its verdict is short: “Grading on the curve is efficient from an instructor point of view. Therein lies the only merit in the method.”

If your syllabus says grades are curved, stop converting percentages. The only figure that matters is where you sit in the distribution, and this page cannot see the distribution.

What this page does not know

Your institution’s scale, or whether it has plus and minus grades at all. The five published scales above differ from one another, and three of the institutions quoted here publish no percentage bands by choice. The built-in table is a common convention, not a standard.

Where the letter is taken from. The page reports the percentage to two decimal places, and reads the letter from the unrounded value. A score whose exact value is a shade under a cutoff can therefore display as 90.00% and still be shown as a B+. Treat the percentage as the answer and the letter as a hint.

Rounding. There is no rounding policy here, because a rounding policy is your instructor’s to write and is usually expressed as a moved threshold rather than a rounded score.

Any curve, and any class distribution. See above. Under a relative standard the conversion on this page does not apply.

Negative entries. A negative number of points earned is treated as zero, so the fraction shown can differ from what you typed. Points possible must be greater than zero, which the page will tell you.

Whether these are the right points. Dropped lowest scores, a final that replaces a test, late penalties and excused work all change which points count toward a course grade, and none of them is visible to a single fraction. The final grade calculator covers those rules inside one course; the GPA calculator and the course average calculator cover the arithmetic across courses.

What the letter is worth once it is recorded. Grade points, not percentages, are what reaches a GPA, and the mapping is institutional too. Quinnipiac gives an A 4.00 and an A− 3.67. The University of Toronto gives A+ and A the same 4.0, so at Toronto a 91% and an 86% are different letters carrying identical grade points.

The grade of record. The only grade that counts is the one your instructor submits to the registrar. Where this page disagrees with it, this page is wrong.

Sources

Every scale and quotation above was read against the named source on 1 October 2026. Nothing you type leaves your browser. More: the rest of the MyCampusKit tools.

Frequently asked questions

How is the percentage calculated?

Points earned divided by points possible, multiplied by 100, reported to two decimal places. Forty-two out of fifty is 84.00%; forty-five out of fifty is 90.00%. Points possible must be greater than zero, and a negative number of points earned is treated as zero.

What letter grade is 84%?

It depends on the institution, and the published scales disagree. An 84.00% is a B on the bands Quinnipiac University, Purdue University Global and National University publish. At the University of Toronto, whose A band starts at 85%, an 84.00% falls below it. At Georgia Tech there is no B+ to award at all: the catalog lists only A, B, C, D and F, and attaches no percentages to them.

Is 89.5% an A−?

Two of the five catalogs on this page do not say. Quinnipiac runs B+ to 89 and starts A− at 90, and Toronto runs A to 89 and starts A+ at 90, so 89.5 falls in no published band at either. National University and Purdue Global both run B+ to 89.99, which makes it a B+. Where the question is live, it is settled by a threshold rather than by rounding: Oklahoma’s instructor guidance describes “setting an A to start at 89.5% to align with your rounding practices”.

Why does the letter here not match my school’s?

Because the table on this page is one convention among many. From A down to C− its thresholds match Quinnipiac’s published bands, but it adds an A+ at 97 that Quinnipiac does not award, and it splits the D band into D+, D and D− where Quinnipiac has a single D from 60 to 69. BYU’s registrar puts the general case plainly: “There is no official university grading scale.”

Can the percentage be over 100?

Yes, and 55 points out of a possible 50 is 110.00%. It means points were added to the top of the fraction without being added to the bottom, which is usually extra credit. Where the bonus is booked changes the answer a lot: 45 on a 50-point quiz plus a 5-point bonus is 90.00% if the bonus is ignored, 100.00% if it is added to points earned only, and 90.91% if it is added to both.

Is 9 out of 10 the same as 90 out of 100?

The same percentage, not the same information. On the ten-point quiz one mark is ten percentage points, so the next score down is 80.00% with nothing in between. On the hundred-point exam one mark is one point, and the next score down is 89.00%. Record how many points a score was out of, not just the percentage.

Does this handle a curve?

No. The conversion here assumes an absolute standard, a fixed table applied to your score. The University of Illinois’s guidance for instructors contrasts that with “relative standards as the work of other students”, and notes that under an absolute standard “It is possible in a given class that all students could receive an ‘A’ or a ‘B.’” If your course is curved, your position in the class distribution decides your letter, and this page cannot see the distribution.

Is the letter official?

No. The percentage is arithmetic you can check; the letter is a convention this page carries. Your syllabus sets the cutoffs, your instructor applies any rounding or curve, and the grade of record is the one submitted to the registrar.

Related tools