Formula
7 modes - which one do you need?
Mode 1 (X% of Y): basic percentage, used for VAT, tips, discounts. 15% of 200 = 30. Mode 2 (X is what % of Y): express a number as a percentage. 'I scored 85 out of 100' = 85%. Mode 3 (X is Y% of what): reverse percentage - useful for stripping VAT from a final price. Mode 4 (% change): compare two values, e.g., old salary vs new salary, price growth. Mode 5 (X ± Y%): apply a raise or discount. Mode 6 (Grade %): score ÷ max × 100, with letter grade. Mode 7 (Weighted average): multi-component grades or scores with different weights.
Percentage between two numbers (حساب النسبة المئوية بين رقمين)
Two distinct meanings: (A) 'X is what % of Y?' - express X as a fraction of Y multiplied by 100. Use Mode 2. Example: 30 is 15% of 200 because (30/200) × 100 = 15%. (B) '% change from X to Y' - how much did X grow or shrink to become Y? Use Mode 4. Example: from 200 to 230 is +15% change. The first is a static comparison; the second is a dynamic change. Pick the mode that matches your question.
Grade percentage for high school / university (للشهادة الثانوية وللدرجات)
To convert an exam score to a percentage: percentage = (score ÷ maximum) × 100. For example, 510 out of 600 = (510/600) × 100 = 85%. Mode 6 does this automatically and also assigns a letter grade (A+, A, B+, B, etc.) based on the standard scale and flags pass/fail against your chosen threshold (default 60%, common Saudi/UAE high school threshold is 50%). For multiple subjects with different weights, use Mode 7 (Weighted Average).
Weighted percentage / weighted average (النسبة الموزونة)
A weighted average gives each component a different importance. Formula: weighted_avg = sum(grade × weight) ÷ sum(weight). Common uses: (1) Semester GPA - midterm 30%, final 40%, assignments 30%. (2) University admission scores - high school certificate (30%), Qiyas (30%), Tahsili (40%) in Saudi Arabia. (3) Job performance - KPI A 50%, KPI B 30%, KPI C 20%. Mode 7 lets you add as many components as needed, each with its own grade and weight. If weights don't sum to 100, the calculator normalizes by total weight.
Salary percentage increase / decrease (نسبة الزيادة في الراتب)
For a fixed amount: 'My salary went from X to Y' - use Mode 4 to get the percentage change. Example: 8,000 SAR → 9,200 SAR is +15%. For a planned change: 'My boss offered a 12% raise on 8,000' - use Mode 5 to get the new salary: 8,000 × 1.12 = 8,960 SAR. The 'Amount added' card shows the absolute increase (960 SAR), useful for budget planning. For computing tax or deduction percentages on a salary, use Mode 2.
Frequently asked questions
It depends on what you're trying to do. (1) X% of Y: multiply X by Y, divide by 100. Example: 15% of 200 = (15 × 200) ÷ 100 = 30. (2) X is what % of Y: divide X by Y, multiply by 100. Example: 30 is (30/200) × 100 = 15% of 200. (3) Percentage change from X to Y: ((Y - X) / X) × 100. Example: 100 → 120 = +20%. The calculator above has all 7 modes - pick the one matching your question.
Two interpretations: (A) 'X is what % of Y?' - express X as a fraction of Y multiplied by 100. Use Mode 2 (isOf). Example: 50 is 25% of 200. (B) '% change from X to Y' - how much did X grow or shrink to become Y? Use Mode 4 (change). Example: from 200 to 230 is +15% change. Pick the meaning that matches your question.
Use Mode 6 (Grade): enter your total marks obtained as the score and the maximum marks (e.g., 600 for Saudi Tahsili) as the maximum. The calculator returns the percentage, the letter grade, and pass/fail status. Example: 510 out of 600 = 85% = B+ grade. For passing threshold, Saudi/UAE high school usually uses 50%, US schools use 60-70%.
Use Mode 7 (Weighted Average). For each component, enter its grade (as %) and its weight (as %). The calculator sums (grade × weight) and divides by total weight. Example: midterm 80% (weight 30%) + final 90% (weight 40%) + assignments 75% (weight 30%) = (80×30 + 90×40 + 75×30) / 100 = 82.5%. Weights don't have to sum to 100 - the calculator normalizes automatically but warns if your sum is not 100.
If you know old and new salary: use Mode 4 (% change). Example: 8,000 → 9,200 SAR = +15% increase. If you know the planned raise percentage: use Mode 5 (Increase/Decrease). Example: 8,000 + 12% = 8,960 SAR, with the 'Amount added' card showing the raise as 960 SAR. To calculate take-home as a percentage of gross, use Mode 2 (isOf).
Sources
- Percentage - Definition, Formula, and Examples— Khan Academy
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