Written & reviewed byNarasimha MakireddiLast reviewed How we verify
Verify results independently. Results are provided as-is for convenience. Double-check any figure before using it in academic, professional, or financial work. See how results are validated on our Verification Methodology page, or read the full Terms of Service.
About This Percentage Calculator
This free percentage calculator bundles six independent tools into one page: find X% of a number, work out what percent one number is of another, calculate a percentage increase or decrease (salary hike, price rise), reverse a percentage to find the original value, compute discounts, and chain sequential percentages correctly. Pick the mode that matches your question, enter two or three numbers, and the answer appears instantly with the working shown.
Percentages are the arithmetic Indians encounter most — appraisal letters ("your revised CTC reflects a 12% increase"), festival-sale banners ("flat 40% + extra 10%"), mark sheets, GST lines on every bill, and mutual fund statements. They're also where everyday math most often goes wrong: a Flipkart "40% + 10%" stack is a 46% discount, not 50%; a salary that grew from ₹45,000 to ₹52,000 is a 15.6% hike, not "about 20%". Each mode here exists because of a real situation where the mental shortcut gives the wrong answer.
Why You Need a Percentage Calculator
Percentage mistakes are small individually and expensive cumulatively. Accepting an appraisal without computing the true hike percentage weakens your negotiation; misreading a stacked discount overstates the deal by hundreds of rupees; and reverse percentages — "the bill is ₹1,180 including 18% GST, what was the base?" — are genuinely counterintuitive, because dividing by 1.18 is not the same as subtracting 18%. Verifying takes ten seconds and builds the numeric confidence that better financial decisions rest on. For every formula with worked examples, see our percentage calculation guide.
How to Use This Percentage Calculator
- Pick the mode that matches your question — the tabs are worded in plain language ("What % is A of B", "Increase / Decrease", "Reverse", "Discount", "Sequential").
- Enter the values in the labelled fields; each mode asks only for the numbers it needs, and the input labels change to match (original value, new value, percentage, and so on).
- Read the result and the working — the formula used is displayed so you can learn it or verify it by hand.
The classic mistake to avoid is choosing the wrong base: a rise from ₹40,000 to ₹50,000 is a 25% increase (base ₹40,000), but the fall from ₹50,000 to ₹40,000 is only a 20% decrease (base ₹50,000). Percent changes are always relative to the starting value — when in doubt, the Increase/Decrease mode gets it right for you.
Percentage Calculations Explained
Percentages express a quantity as a fraction of 100 and appear in everyday financial decisions — salary hikes, GST calculations, EMI interest, investment returns, discounts, and profit margins. This calculator covers six distinct percentage calculation types so you can solve any percentage problem without remembering individual formulas.
Core Percentage Formulas
- X% of Y: Result = (X ÷ 100) × Y
- What % is A of B: Percentage = (A ÷ B) × 100
- Percentage increase/decrease: Change% = ((New − Old) ÷ Old) × 100
- Reverse percentage (find original): Original = Final × 100 ÷ (100 ± Change%)
- Discount amount: Discount = (Rate ÷ 100) × Original Price
- Sequential %: Apply percentages one after another (e.g., 10% then 5%)
Worked Examples
Example 1 — Salary hike: Your salary increases from ₹40,000 to ₹50,000. Percentage increase = ((50,000 − 40,000) ÷ 40,000) × 100 = 25%.
Example 2 — Discount: A ₹3,200 item is offered at 15% off. Discount = (15 ÷ 100) × 3,200 = ₹480. Final price = ₹3,200 − ₹480 = ₹2,720.
Example 3 — Reverse percentage: A price of ₹1,180 includes 18% GST. Original base price = 1,180 ÷ 1.18 = ₹1,000.
Note that sequential percentage changes are not additive: a 10% increase followed by a 10% decrease does not return to the original value — it gives 99% of the original (a net −1% effect). The sequential mode in this calculator handles this correctly.
Real-World Examples
Sameer, Gurgaon — checking an appraisal letter
Sameer's CTC moved from ₹9,60,000 to ₹10,80,000 and HR called it "one of the best hikes in the band". The Increase mode shows 12.5% — decent, but below the 15% a competing offer implied. Armed with the exact number, he negotiated a joining bonus instead of arguing feelings.
Tara, Mumbai — festival sale stacking
A ₹24,000 washing machine is listed at "30% off + extra 10% on card". Sequential mode shows the true price: ₹24,000 → ₹16,800 → ₹15,120 — a 37% total discount, not 40%. The ₹720 difference isn't huge, but knowing it kept her from overvaluing the card offer against a flat ₹15,000 price elsewhere. Takeaway: stacked percentages always total less than their sum.
Accuracy & Common Questions
Is this percentage calculator accurate?
Yes — every mode is a closed-form formula computed with high-precision decimal arithmetic; there is no rounding until the displayed result. The working is shown so you can verify any answer by hand.
Which mode do I use for GST on a bill?
Reverse mode extracts the base from a GST-inclusive total. But if you're doing GST regularly — invoices, CGST/SGST splits — the dedicated GST calculator does it in one step with the proper tax breakdown.
Why doesn't a 20% rise then 20% fall return to the start?
Because the fall applies to a bigger base. ₹100 + 20% = ₹120; ₹120 − 20% = ₹96. Percent changes compound multiplicatively (1.20 × 0.80 = 0.96), which is exactly what Sequential mode calculates.