Test Grade Calculator
See what percentage you need on finals to achieve your target grade.
Understanding the Calculation
Percentage calculations involve:
- Base Value: The original or total amount
- Percentage Rate: The proportion expressed as a percent
- Result: The calculated value based on your inputs
Common Formulas
- Finding a percentage: (Part ÷ Whole) × 100 = %
- Finding the part: Whole × (% ÷ 100) = Part
- Percentage change: ((New - Old) ÷ Old) × 100 = % Change
Practical Applications
Use percentage calculations for:
- Financial planning and budgeting
- Academic performance tracking
- Business metrics and KPIs
- Health and fitness goals
- Shopping and discount calculations
Turning a Score Into a Grade
``
percentage = (points earned ÷ points possible) × 100
`
| Percentage | Letter | GPA points |
|---|---|---|
| 97–100 | A+ | 4.0 |
| 93–96 | A | 4.0 |
| 90–92 | A− | 3.7 |
| 87–89 | B+ | 3.3 |
| 83–86 | B | 3.0 |
| 80–82 | B− | 2.7 |
| 70–79 | C | 2.0 |
| 60–69 | D | 1.0 |
| Below 60 | F | 0.0 |
Weighted categories are what most people get wrong. If homework is 20% of the grade and
exams 80%, a perfect homework score plus a 60% exam average gives 0.2×100 + 0.8×60 = 68%, not
80%. Work out what you need on the final by solving for the unknown category rather than
averaging the percentages.Curving changes the mapping, not the score, and there is no standard method — a flat
addition, a scale to the top score, and a normal-distribution fit all produce different
results from the same marks.
The Four Percentage Questions
Almost every percentage problem is one of these, and mixing them up is the most common
arithmetic error there is:
| Question | Formula | Example |
|---|---|---|
| What is X% of Y? | Y × (X ÷ 100) | 15% of 80 = 12 |
| X is what % of Y? | (X ÷ Y) × 100 | 12 is 15% of 80 |
| X is Y% of what? | X ÷ (Y ÷ 100) | 12 is 15% of 80 |
| % change from X to Y | ((Y − X) ÷ X) × 100 | 80 → 92 is +15% |
Percentage Points Are Not Percent
A rate moving from 4% to 5% is one percentage point, and a 25% increase. Both
statements are true and they are not interchangeable — headlines routinely use the smaller
one when reporting a rise and the larger one when reporting a fall.
Increases and Decreases Do Not Cancel
| Start | Change | Result |
|---|---|---|
| 100 | +50%, then −50% | 75 |
| 100 | −50%, then +50% | 75 |
| 100 | −20%, then +25% | 100 |
The reason is that the second percentage applies to a different base. To reverse a −20% you
need +25%, not +20%. This is why a stock that falls 50% must double to break even, and why
"we cut costs 30% then grew 30%" leaves you 9% down.Reversing a Percentage
To find the price before a 20% discount, divide by 0.8 — do not add 20%:
`
before = after ÷ (1 − discount)
$80 ÷ 0.8 = $100 ✓
$80 × 1.2 = $96 ✗
``
The same asymmetry applies to tax, tips, markups and platform fees.