Diwali sale: 25% off ₹4,999 phone - what's the discount?
Use 'Percent of' mode. (25/100) × 4999 = ₹1,249.75. Final price: 4999 − 1250 = ₹3,750. Verify with the one-step approach: 0.75 × 4999 = ₹3,749. ₹1 difference is rounding.
Percentage Calculator - Kostenloser Online-Rechner
A complete percentage calculator with four modes - find the percent of a number, what percent one number is of another, percentage increase or decrease, and percent difference. Useful for shopping discounts, sale price calculations, GST splits, exam scores, salary hike negotiations and stock returns. Works fully offline once the page loads.
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What is P% of X?
%
18% of 2,500
450
Formula: (18 / 100) × 2,500
Ein Teil der Inhalte wird noch auf Englisch angezeigt.
Percentage Calculator verstehen
Percentages are everywhere in daily life - sale discounts at malls, GST on every restaurant bill, salary hikes during appraisals, stock market returns, election poll results, exam scores, loan interest rates, and inflation figures. Despite their ubiquity, simple percentage calculations regularly trip people up: confusing percent change with percent difference, mishandling sequential percentages (a 10% rise followed by a 10% fall doesn't return to the original), or extracting tax from inclusive prices the wrong way. This calculator handles the four most common percent calculations cleanly, with the formula shown so you can verify and learn the math, not just get the number.
Beyond utility, percentage fluency is one of the highest-impact math skills you can have. Quick mental percentage estimation - 'is this 20% sale really a deal?', 'how much extra am I really paying with this EMI option?', 'what's my real salary hike after inflation?' - separates the financially savvy from the rest. Use this calculator both for precise answers and as a learning aid: see the formula, compare your mental estimate, and over time you'll need the calculator less often.
Percentage Calculator in 5 Schritten nutzen
Pick the mode that matches your question (Percent of, Is what %, Change, or Difference).
Enter the two numbers in the labelled inputs.
The result updates as you type - no submit button.
Use the formula shown below the result to verify the calculation.
Clear or change inputs anytime; the answer recomputes instantly.
So funktioniert Percentage Calculator
Percentages are just fractions multiplied by 100. The four modes here cover the questions people ask 95% of the time. "Percent of" multiplies (P/100) × X. "Is what %" divides (Part / Whole) × 100. "% Change" measures the relative gap between original and final values, common in price hikes, salary increments and stock returns. "% Difference" treats both values symmetrically and is used in scientific comparisons where neither value is the reference.
Formula
% of: result = (P / 100) × X Change: ((New − Old) / Old) × 100
- PThe percent
- XThe base number
- Old / NewOriginal and final values
- Difference|A − B| / ((A + B) / 2) × 100
Wie Percentage Calculator zum Ergebnis kommt
The four modes cover the universe of common percentage questions. 'Percent of': what is P% of X? Answer: (P/100) × X. Used for discount amounts, GST amounts, tip calculations, exam mark conversions. 'Is what %': what percentage is A of B? Answer: (A/B) × 100. Used for sale price as percent of MRP, your score on a test, market share. 'Percent change': how much has a value changed in percentage terms? Answer: ((New − Old)/Old) × 100. Used for price hikes, salary increments, stock returns.
'Percent difference' is subtly different from percent change - it treats both values symmetrically and is the right metric when neither value is the 'reference'. Formula: |A − B|/((A+B)/2) × 100. Used in scientific measurements and comparisons. Example: if Mumbai temperature is 32°C and Pune is 28°C, the percent change from Mumbai to Pune is −12.5%, but the percent difference between them is 13.3% - neither city is the 'before' or 'after'.
Common mistakes the calculator helps avoid: First, treating sequential percentages as additive. A 10% rise followed by a 10% fall is not zero - it's −1%. Second, confusing 'increase by 25%' with 'set to 25%'. Third, extracting tax-exclusive price from tax-inclusive: divide by (1 + tax%), don't subtract the tax%. For ₹118 inclusive of 18% GST, the pre-tax price is 118/1.18 = ₹100, not 118 × 0.82 = ₹96.76.
Gelöste Beispiele
Restaurant bill: ₹2,360 inclusive of 18% GST - what was the pre-GST amount?
Don't subtract 18% directly (would give ₹1,935 - wrong). Divide by 1.18 instead: 2,360 / 1.18 = ₹2,000 pre-GST. GST amount: ₹360. Multiplied back: 2,000 × 1.18 = ₹2,360 ✓
Salary hike: ₹65,000 → ₹78,000 - what percentage hike?
Use 'Percent change' mode. ((78,000 − 65,000)/65,000) × 100 = 20%. Solid hike. Note: if next year's hike of 10% comes on top, your salary becomes ₹85,800 - a 32% total raise, not 30%.
Wann Percentage Calculator nutzen
- Calculating discount amounts during sale shopping (Big Billion Days, Republic Day Sale, etc.).
- Splitting GST/IGST/CGST from inclusive prices when filing returns or verifying bills.
- Converting test scores and academic marks between different out-of bases (out of 75, 100, 150).
- Computing salary hike percentages during appraisal negotiations.
- Calculating stock and mutual fund returns, especially when comparing across multiple time periods.
- Tip calculations at restaurants - 10% standard, 15-20% for exceptional service.
- Working out compound percentage scenarios for loan EMIs and inflation impact on savings.
Häufige Fehler und Stolperfallen
- Treating percentages as additive when they compound. A 20% rise + 30% rise is 56% total, not 50%.
- Subtracting tax % directly to extract pre-tax price. Always divide by (1 + tax%) instead.
- Confusing 'increase by 25%' with 'final value of 25%'. The first applies to the base; the second is absolute.
- Using percent change when percent difference is appropriate (in scientific or symmetric comparisons).
- Mishandling negative percentage changes - a drop from 100 to 60 is a 40% decrease, not 60%.
Mehr aus diesem Tool herausholen
- Use percentage shortcuts mentally: 10% of X = X / 10. 5% = X / 20. 20% = X / 5. 25% = X / 4.
- For tip calculations, double the GST amount (since service tax is roughly 6%, and tips are typically 10-15%).
- When reading sale percentages, check the 'after' price independently - some retailers inflate MRP then 'discount' it.
- For compounding scenarios (returns over multiple years), use CAGR or compound interest tools instead.
- Pair this calculator with the GST, discount and salary hike calculators on this site for specific-use scenarios.
Fragen zu Percentage Calculator
How do I calculate percentage of a number?
Multiply the percent (in decimal) by the number. Example: 18% of ₹2,500 = 0.18 × 2,500 = ₹450. Use the "Percent of" mode above.
How do I calculate percentage increase?
((New − Old) / Old) × 100. Example: salary goes from ₹50,000 to ₹60,000 → ((60,000 − 50,000) / 50,000) × 100 = 20% hike. Use the "% Change" mode.
How do I calculate percentage decrease?
Same formula as increase - a negative result indicates a decrease. Example: phone price drops from ₹40,000 to ₹32,000 → ((32,000 − 40,000) / 40,000) × 100 = −20% (a 20% drop).
What's the difference between percent change and percent difference?
Percent change has a clear "before" and "after" (uses the older value as the base). Percent difference treats both values equally - it's used when comparing two measurements where neither is a reference. Difference uses the average as the base instead of one of the values.
How do I calculate a 10% discount?
Discount amount = (10/100) × price. Final price = price − discount. Example: 10% off ₹1,500 → discount ₹150, pay ₹1,350. Or use one step: 0.90 × 1,500 = 1,350.
How do I add GST to a price?
For 18% GST: final = price × 1.18. Example: ₹1,000 + 18% GST = ₹1,180. To remove GST from a tax-inclusive price: divide by 1.18. We have a dedicated GST Calculator with CGST/SGST/IGST split, too.
Why does compounding 10% increase then 10% decrease not return the original?
Because each percent applies to a different base. ₹100 + 10% = ₹110. ₹110 − 10% = ₹99 - not ₹100. This is a common mistake when reading market returns or salary changes over multiple years.
Math in your browser
From simple percentages to scientific notation, statistics, geometry and big-number arithmetic - every common math problem you'd reach for a calculator for, runs in your browser with no installs. The fraction calculator preserves exact rationals, the big-number calculator uses BigInt for hundreds of digits without precision loss, and the scientific calculator's expression evaluator is a hand-written shunting-yard parser (no eval) that supports trig, log, factorial and parentheses.
If you're a student, double-check your work without paying for a graphing calculator. If you're a professional, use these tools as a sanity check on spreadsheet formulas. Every result is shown alongside its formula and inputs, so the math is always auditable.
The Percentage Calculator is part of the Math suite on Online Calculator Tools, alongside 6 related calculators. All tools share the same UI patterns, the same privacy-first rendering (nothing is sent to a server), and the same commitment to showing the formula and assumptions behind every result.