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Different question values? Add their points first. Extra credit can take the score above 100%.
What is 47 out of 55 as a percentage?
To find 47 out of 55 (47/55) as a percentage, divide 47 by 55 and multiply by 100: 47 ÷ 55 × 100 ≈ 85.45%, a B on the common US plus/minus scale. Rounded to 2 decimal places.
Letter scale: 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. Source: Wikipedia, “Academic grading in the United States”.
| Letter | Lowest % | Remove |
|---|
Each letter starts at its lowest percentage and runs up to the next letter.
Rounding and decimal places
Follow your syllabus. A displayed percentage can round up while the unrounded score stays below a cutoff.
Only changes how results are shown. Extra places appear when rounding would push a score over a letter cutoff.
A letter typed as a score counts as the lowest percentage for that letter on this scale. Use the original percentage when you have it.
Check a single cutoff with the grading scale calculator.
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The fraction, decimal and missing points
47/55 ≈ 0.854545
47/55 cannot be reduced. Divide 47 earned points by 55 possible points, then multiply by 100 to get 85.45%. 55 − 47 = 8 points missed.
Or count by points: each point is worth 100 ÷ 55 ≈ 1.8182%, so 47 × 1.8182 ≈ 85.45%.
The letter above uses the common US plus/minus scale. Your class may set other cutoffs: open “Letter scale” above to choose another scale or enter your own. For the general method, see how to turn points into a percentage.
What does one more point change?
| Points earned | Percentage | Points missed |
|---|---|---|
| 46 out of 55 | ≈ 83.64% | 9 |
| 47 out of 55 | ≈ 85.45% | 8 |
| 48 out of 55 | ≈ 87.27% | 7 |
≈ means rounded to 2 decimal places.
One point changes this score by 1.8182 percentage points. The denominator stays 55.