Calculate percentages fast: find X% of a number, work out percentage increase or decrease, or reverse a percentage back to its original value.
Example: If 2,250 is 15% of a number, what is that number? → 2,250 ÷ 0.15 = 15,000
Markup vs Margin: Markup = profit ÷ cost × 100. Margin = profit ÷ selling price × 100. Same profit, different base — they yield different percentages.
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15% of 15,000 = 2,250
A percentage expresses a number as a fraction of 100, making it easy to compare proportions across different scales. This page covers four related but distinct calculations that ar...
Every percentage problem boils down to four core formulas. Here they are — with plain-English explanations and worked examples.
Used for discounts, taxes, tips, and commissions.
E.g., 15% of 15,000 = (15 ÷ 100) × 15,000 = 2,250
Used for salary hikes, price rises, investment growth.
E.g., Increase 1,000 by 20% = 1,000 × 1.20 = 1,200
Used for sale discounts, EMI reduction, depreciation.
E.g., Decrease 5,000 by 12% = 5,000 × 0.88 = 4,400
Used for year-over-year comparisons, exam score changes.
E.g., 80 → 100: ((100 - 80) ÷ |80|) × 100 = +25%
The Percentage Increase Calculator finds the new value after applying a percentage rise. Formula: New Value = Original × (1 + Rate/100). Commonly used for salary hike calculations (₹50,000 + 10% = ₹55,000), GST addition (₹1,000 + 18% = ₹1,180), and investment growth projections. Use the Increase tab above to compute this instantly.
The Percentage Decrease Calculator finds the new value after applying a percentage reduction. Formula: New Value = Original × (1 - Rate/100). Used for calculating sale prices (₹5,000 at 12% off = ₹4,400), depreciation of assets, and budget cuts. Switch to the Decrease tab above to try it.
The Percentage Change Calculator measures how much a value has changed relative to its starting point. Formula: ((Final − Initial) / |Initial|) × 100. A positive result means an increase; negative means a decrease. Perfect for comparing exam scores, revenue figures, population counts, or stock prices over time.
| Question | Formula | Answer |
|---|---|---|
| What is 15% of 15,000? | (15 ÷ 100) × 15,000 | 2,250 |
| Increase 1,000 by 20% | 1,000 × 1.20 | 1,200 |
| Decrease 5,000 by 12% | 5,000 × 0.88 | 4,400 |
| % change: 80 → 100 | ((100−80) ÷ |80|) × 100 | +25% |
| 2,250 is 15% of what? | 2,250 ÷ 0.15 | 15,000 |
| What is 18% GST on ₹2,500? | (18 ÷ 100) × 2,500 | ₹450 |
| 30% off ₹1,200 | 1,200 × 0.70 | ₹840 |
| 10% salary hike on ₹50,000 | 50,000 × 1.10 | ₹55,000 |
| Score: 72 out of 90 | (72 ÷ 90) × 100 | 80% |
| Markup: cost ₹800, sell ₹1,000 | (200 ÷ 800) × 100 | 25% Markup |
Use the Percentage Decrease tab to find the final price after a sale discount. Example: 25% off ₹3,200 = ₹2,400.
→ Try Discount CalculatorAdd 5%, 12%, or 18% GST to any base price using the Basic % tab. Example: 18% GST on ₹10,000 = ₹1,800.
→ Try GST CalculatorUse the Percentage Increase tab to calculate your new salary after an appraisal. Example: ₹40,000 + 15% = ₹46,000.
→ Try Salary CalculatorCalculate your percentage score from marks obtained. Example: 450 out of 600 = (450 ÷ 600) × 100 = 75%.
Use the Margin/Markup tab to determine retail margins and markup percentages for business pricing decisions.
Compare investment growth using the Percentage Change tab. Example: Portfolio grew from ₹1,00,000 to ₹1,25,000 = +25% return.
→ Try SIP CalculatorQuick answers about how this tool works.
Percentage increase formula: New Value = Original × (1 + Rate ÷ 100). For example, increasing ₹1,000 by 20% gives ₹1,000 × 1.20 = ₹1,200. The increase amount is ₹200. Use the Increase tab in this calculator to compute it automatically.
Percentage decrease formula: New Value = Original × (1 − Rate ÷ 100). For example, decreasing ₹5,000 by 12% gives ₹5,000 × 0.88 = ₹4,400. The deducted amount is ₹600. Use the Decrease tab above to solve it in one click.
Percentage difference (change) = ((Final Value − Initial Value) ÷ Initial Value) × 100. A positive result means an increase; a negative result means a decrease. Example: from 80 to 100 = ((100 − 80) ÷ 80) × 100 = +25%. Use the Diff tab above.
Use the formula: Base = Known Result ÷ (Rate ÷ 100). Example: if 2,250 is 15% of a number, then Base = 2,250 ÷ 0.15 = 15,000. Switch to the Reverse % tab in this calculator to solve any reverse percentage problem instantly.
Markup is profit as a percentage of cost: Markup% = (Profit ÷ Cost) × 100. Margin is profit as a percentage of the selling price: Margin% = (Profit ÷ Selling Price) × 100. For the same transaction, markup is always higher than margin. Use the Margin tab to calculate both.
To add GST: GST Amount = (GST Rate ÷ 100) × Base Price. Total Price = Base Price + GST Amount. Example: 18% GST on ₹2,500 = ₹450, so the total is ₹2,950. Use the Basic % tab with 18 as X and your price as Y to get the GST amount instantly.
Discounted Price = Original Price × (1 − Discount% ÷ 100). Example: 30% off ₹1,200 = ₹1,200 × 0.70 = ₹840. You save ₹360. Use the Decrease tab to compute sale prices, or try the dedicated Discount Calculator for more options.
To find salary after a hike: New Salary = Current Salary × (1 + Hike% ÷ 100). Example: ₹50,000 salary with a 10% hike = ₹50,000 × 1.10 = ₹55,000. To find what % increase you received: ((New − Old) ÷ Old) × 100. Use the Increase or Diff tabs above.
Percentage = (Marks Obtained ÷ Total Marks) × 100. Example: if you scored 450 out of 600, your percentage = (450 ÷ 600) × 100 = 75%. Use the Basic % tab: enter 100 as X and (obtained/total) as decimal, or use the Diff tab to compare two exam scores.
Plain-language explainers that sit next to this tool.
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