Sources and formulas

Your scores supply the numbers. Your syllabus supplies the rules. Below are the published scales this site uses and how each calculation works.

Updated

The dates below describe the school and catalog policies shown here; fixed definitions and formulas carry their source only. The dates are not a promise that a preset matches your current course. Use your own cutoffs or grade points when your school differs.

Scales here: Common US plus/minus scale · NCES common US 4.0 scale · Emmanuel College suggested undergraduate scale · The Ohio State University law scale · University of Mount Saint Vincent graduate scale.

From a percentage to a letter

These scales belong to the named setting. There is no single US grading scale. The calculators start on the common US plus/minus scale (A 93%, A- 90%, B+ 87%), so a plus or minus letter works as typed; switch to another scale or enter your own under “Letter scale”. The grading scale calculator also accepts your own class cutoffs.

Common US plus/minus scale

The plus/minus cutoffs Wikipedia lists for US colleges: A+ from 97%, A 93, A- 90, B+ 87, B 83, B- 80 and so on down to D- at 60. It is not universal, so use your syllabus's cutoffs when they differ.

Wikipedia: Academic grading in the United States.

The Wikipedia article was last edited .

Common US plus/minus scale: 13 cutoffs
Common US plus/minus scale cutoffs
LetterMinimum percentGrade points
A+97%4
A93%4
A-90%3.67
B+87%3.33
B83%3
B-80%2.67
C+77%2.33
C73%2
C-70%1.67
D+67%1.33
D63%1
D-60%0.67
F0%0

NCES common US 4.0 scale

A common US high-school standardization scale; use a school's own scale when available.

NCES High School Transcript Study.

Publisher's page updated . This is the page's update date, not a stated effective date for the scale.

NCES common US 4.0 scale: 5 cutoffs
NCES common US 4.0 scale cutoffs
LetterMinimum percentGrade points
A90%4
B80%3
C70%2
D60%1
F0%0

Emmanuel College suggested undergraduate scale

Suggested undergraduate course scale published by Emmanuel College Registrar; instructors may use another scale.

Checked . Official grading policy.

The linked page gives no publication or effective date for the Emmanuel College suggested undergraduate scale.

Emmanuel College suggested undergraduate scale: 11 cutoffs
Emmanuel College suggested undergraduate scale cutoffs
LetterMinimum percentGrade points
A93%Not specified
A-90%Not specified
B+87%Not specified
B83%Not specified
B-80%Not specified
C+77%Not specified
C73%Not specified
C-70%Not specified
D+65%Not specified
D60%Not specified
F0%Not specified

The Ohio State University law scale

Law only, as stated by The Ohio State University Registrar transcript key.

No letter is assumed below the lowest published percentage.

Checked . Official grading policy.

The linked page gives no publication or effective date for the The Ohio State University law scale.

The Ohio State University law scale: 9 cutoffs
The Ohio State University law scale cutoffs
LetterMinimum percentGrade points
A93%4
A-90%3.7
B+87%3.3
B83%3
B-80%2.7
C+77%2.3
C70%2
D65%1
E60%0

University of Mount Saint Vincent graduate scale

Professional and graduate academic policy published by the University Registrar.

Checked . Official grading policy.

The linked page gives no publication or effective date for the University of Mount Saint Vincent graduate scale.

University of Mount Saint Vincent graduate scale: 11 cutoffs
University of Mount Saint Vincent graduate scale cutoffs
LetterMinimum percentGrade points
A93%4
A-90%3.67
B+87%3.33
B83%3
B-80%2.67
C+77%2.33
C73%2
C-70%1.67
D+67%1.33
D60%1
F0%0

From course grades to a GPA

A GPA policy assigns points to letter grades. It does not automatically supply percentage cutoffs. Your transcript determines which courses and attempts belong in the total.

UT Austin letter-grade points

Undergraduate letter-grade points. This is not a percent-to-letter scale. Select only courses that count toward your GPA.

Checked September 19, 2026. Catalog 2026–2027. UT Austin GPA computation.

UT Austin grade points
GradePoints
A4
A-3.67
B+3.33
B3
B-2.67
C+2.33
C2
C-1.67
D+1.33
D1
D-0.67
F0

The cited undergraduate policy excludes I, Q, W, X, S, U and CR. The college GPA calculator lets you choose included courses so you can follow your own school's rules.

Chicago Public Schools grade values

High-school course levels as designated by CPS. Advanced includes eligible AP and IB courses; some IB courses are Honors. Select the course level on the school record. Exclude duplicate attempts except the highest grade.

Checked September 19, 2026. Policy effective September 1, 2013. CPS policy 605.13.

CPS points by course level
GradeRegularHonorsAdvancedSignificantly modified
A4562
B3452
C2341
D1111
F0000

Advanced includes eligible college-level AP and IB classes; some IB courses are Honors. Use the level on the school record. The policy includes only the highest grade of duplicate attempts; choose included attempts in the high school GPA calculator.

Grade codes and GPA lines

The grade-code table and the published GPA lines beside the college GPA calculator come from these undergraduate catalogs. They show how two schools differ; they are not the rules for yours.

AMCAS, LSAC, CASPA, PTCAS and ADEA AADSAS GPA rules

The AMCAS, LSAC, CASPA, PTCAS and ADEA AADSAS GPA calculators follow each application service’s own published rules. The service itself works out your official GPA from your transcripts.

UCAS Tariff points

The UCAS points calculator uses the points UCAS gives each grade of the common A level, AS, EPQ, BTEC National, IB, T Level, Scottish, Welsh and Irish qualifications in its Tariff tables for 2027 entry, and the rules in its Tariff calculator’s guidance. Each university decides which qualifications it counts.

AP score estimates

The AP Macroeconomics and AP Microeconomics score calculators work as the scoring worksheet in the College Board’s 2012 practice exams does, with its conversion chart, because both exams keep that format today. The cut points change every year, so the result is an estimate.

The AP English Literature and AP English Language score calculators stop at a score out of 100 on each exam’s section weights, 45% for multiple choice and 55% for the essays: no College Board chart for today’s formats is public, so they give no 1 to 5.

The AP U.S. History, AP World History and AP European History score calculators do the same with each exam’s four parts: multiple choice 40%, the short answers 20%, the document-based question 25% and the long essay 15%, with each question’s points from the 2026 scoring guidelines.

The AP Calculus AB, AP Calculus BC, AP Precalculus, AP Statistics, AP Biology, AP Chemistry, AP Psychology, AP Physics 1, AP Physics 2, AP Physics C: Mechanics, AP Physics C: Electricity and Magnetism, AP Environmental Science, AP Human Geography, AP U.S. Government and Politics, AP Comparative Government and Politics, AP Computer Science A, AP Computer Science Principles, AP Spanish Language and Culture, AP French Language and Culture, AP German Language and Culture, AP Chinese Language and Culture, AP Japanese Language and Culture, AP Spanish Literature and Culture, AP Art History and AP Music Theory score calculators give the multiple choice and the free response each its share of the score (half each, but 66.7% and 33.3% in Psychology, 60% and 40% in Environmental Science, 55% and 45% in Computer Science A, 70% and 30% in Computer Science Principles, 45% and 55% in Music Theory and 62.5% and 37.5% in Precalculus), with each free-response question’s points from the 2026 scoring guidelines (in Statistics, from the course and exam description for the exam from May 2027, which makes each question 10 points; in Computer Science Principles, the six one-point categories that score the Create performance task and its written responses; in the Spanish, French, German, Chinese and Japanese Language and Culture exams, from each course and exam description for the exam from May 2027, which also gives each free-response question and each multiple-choice part its own share; in Art History, from the 2026 scoring guidelines, with no share for any one essay; in Music Theory, the seven written questions share 45% and the two sight-singing melodies 10%, each by its points in the 2026 scoring guidelines). In Precalculus each multiple-choice part carries its own share, from AP Central’s exam page, and in U.S. Government and Comparative Government each free-response question does, whatever its points, from the course and exam description; in Spanish Literature and Culture both do (10% and 40%; 7.5%, 7.5%, 17.5% and 17.5%), from its course and exam description.

The AP Capstone courses have no multiple choice: the AP Seminar score calculator gives each of its seven parts the share AP Central gives it (the research report and the team presentation 10% each, the written argument 24.5%, the presentation 7%, the oral defense 3.5% and the end-of-course exam’s Part A 13.5% and Part B 31.5%), and the AP Research score calculator gives the academic paper 75% and the presentation and oral defense 25%, with each rubric row’s points from the 2026 scoring guidelines. Neither gives a 1 to 5.

IB Diploma score

The IB score calculator adds your six subject grades and the points for Theory of Knowledge and the Extended Essay, and checks each condition the IB sets for the diploma, as its Diploma Programme rules give them.

How the math works

All example scores are made-up practice inputs, not student records or typical grades. Their answers come from the arithmetic below. The starting examples can be replaced with your scores.

The mathematical references are the NIST weighted-mean definition and NIST guidance on percent.

Entering a letter instead of a score

A letter identifies a range, not an exact percentage. Our calculators use its minimum percentage in the scale you select and show that conversion beside your entry. For example, A- becomes 90% and B+ 87% on the common US plus/minus scale. This is a conservative estimate for a recorded grade, and the minimum cutoff for a letter target. Use your original percentage when available.

In points mode, the converted percentage is multiplied by points possible. Numeric inputs remain the percentages or earned points you entered. Changing scales recalculates letter inputs; letters absent from the selected scale need correcting. GPA points come only from the selected policy, never from an assumed percentage-to-GPA formula.

Blanks, zeros and rounding

Blank means not entered or not graded. Zero is included as a score. Calculations keep full precision. Displayed percentages use up to two decimal places, or the 0 or 1 places you choose under “Rounding and decimal places”; a GPA shows two decimal places. Transcripts differ: some show three, and some cut off the extra places instead of rounding, so your registrar’s figure can differ in the last place. A percentage keeps extra decimal places when rounding it would cross a letter cutoff.

Letter conversion uses the full value unless you choose whole-percent rounding. A needed exam score rounds upward to the displayed precision, so it does not understate your target.

Score percentages and fractions

The score percentage calculator divides earned by possible points and multiplies by 100. Exact-score pages use the same arithmetic, reduce the fraction and show how a point above or below changes the result. Percentages display up to two decimal places and decimals up to six; letter conversion uses the full value.

NIST guidance on percent. The examples and neighboring outcomes are our calculations, not school records.

Class grades and points

For points, divide total earned points by total possible points and multiply by 100. Extra credit adds to earned points only. Dropping work removes both its earned and possible points. Lowest means the lowest percentage; input order breaks ties.

For weighted categories, multiply each score by its course share and add the contributions. Divide by the graded share to get your grade so far. Blank and what-if scores stay out of the current grade; what-if scores appear in a separate projection. Total category weights above 100% are rejected. Remaining work is shown as a range from zero to full credit.

What you need on the final

Subtract your current grade's contribution from the target, then divide by the final's course share. A zero-weight final cannot change your grade.

In points mode, add earned exam points and possible exam points to the course totals. Extra-credit points add to points earned only. For a partly completed final, keep the completed parts' shares and solve for the rest.

For a final inside a test category, old tests and the final count equally. If selected, the final replaces the lowest old test only when higher, before the lowest scores are dropped. The final itself can be dropped. Use this setup only when those rules match your syllabus.

“Already secured” describes the numeric target under the entered weights. You may still have to take the exam or meet another course requirement.

GPA, credits and targets

Multiply each course's grade points by its GPA credits, add those quality points, and divide by total GPA credits. Excluded courses contribute to neither total. Zero-credit courses have no weight.

Earlier GPA times earlier GPA hours estimates earlier quality points, but cannot recover precision lost in a rounded transcript. Use quality points directly when available. For a target, subtract existing quality points from the target times eventual credits, then divide by future credits.

High school weighting follows the bonuses and eligible grade threshold you enter, or the CPS table when selected. D and F receive no CPS Honors or Advanced bonus.

NCAA core-course GPA

The NCAA GPA calculator turns each core-course grade into quality points (A 4, B 3, C 2, D 1, with no plus or minus and a Pass at your school’s lowest passing grade), multiplies them by the course’s length (a year 1, a semester .5, a trimester .34, a quarter .25), and divides the quality points of the 16 units with your best grades that meet the division’s subject requirements by those units. A weighted honors or AP grade adds the extra points you enter, at most 1.00. Sources: the NCAA Eligibility Center’s 2026-27 Guide for the College-Bound Student-Athlete, Division I Bylaw 14.3.1.3.5 on the grade value of core courses, the NCAA’s Division I and Division II requirements, and the Eligibility Center’s help articles on the core-course GPA and 10/7, read October 25, 2026.

Satisfactory academic progress

The SAP calculator divides the credits you completed by the credits you attempted, the pace that 34 CFR 668.34 describes, and multiplies your program’s credits by the maximum timeframe you enter, which for an undergraduate credit-hour program the regulation caps at 150%. The pace and GPA minimums are your school’s, so you enter them. Source: US Code of Federal Regulations, 34 CFR 668.34, Satisfactory academic progress, read October 25, 2026.

Grade curves and charts

Flat addition adds the same points to every score. Top-score addition adds the gap between the highest score and 100; top-score scaling multiplies every score by 100 divided by the highest. The square-root curve takes the square root of each percentage and multiplies by ten. A target-mean curve adds the difference between the target and current mean. A bell curve moves the class to a target mean and spread: each score keeps its distance from the class mean, measured in standard deviations.

Optional capping limits adjusted scores to 0–100%. It can create ties and move the final mean away from your target. Apart from the bell curve you choose, the charts count the actual scores you entered and assume no distribution. These calculations do not decide which policy is fair for a class.

About the source material

The NCES scale comes from the US National Center for Education Statistics. The common plus/minus cutoffs are the ones Wikipedia lists for US colleges. Their grade points (A 4.0, A- 3.67, B+ 3.33 and so on) follow the same article’s text, which says many schools add .33 for a plus and subtract .33 for a minus; the article’s table rounds these to one decimal and lists an A as 3.9. Only the numbers are used. School tables reproduce factual cutoffs and grade-point values, with links to their publishers. The explanations, example inputs and illustrations are original to this site; no school endorsement is implied.

Typography uses Bricolage Grotesque by the Bricolage Grotesque Project Authors and Atkinson Hyperlegible by the Braille Institute of America, under the SIL Open Font License.