Percentage increase calculator
Free, no sign-up · Facts checked 18 Oct 2026
Percentage change from A to B, adding or taking off a %, or the original value.
1From 40,000 to 46,000
Increase+15%- Difference
- +6,000
- Multiplier
- ×1.15
Work it out
Increase
+15%
+6,000 · ×1.15
From 40,000 to 46,000 is an increase of 15% (+6,000).
- Difference
- +6,000
- Multiplier
- ×1.15
- Going back from 46,000 to 40,000
- −13.04%
Going back from 46,000 to 40,000 would be −13.04%, not −15%.
What it is made of
Point at a part to see it on its own.
From your numbers
Worked out from what you entered. Try one.
- Percentages aren’t symmetric: 40,000 → 46,000 is +15%, but going back is −13.04%. A 20% rise then a 20% cut leaves you 4% below where you started.
- With prices up about 5.54% in a year (India CPI, Sep 2026), a +15% rise is really about +8.96%.
- Did it take several years? A +15% rise over 5 years is about +2.83% a year (CAGR).
Milestones
Before and after
The two numbers side by side.
Common percentages of 40,000
Always open, in full.
| Percentage | Amount | Plus it | Minus it |
|---|---|---|---|
| 5% | 2,000 | 42,000 | 38,000 |
| 10% | 4,000 | 44,000 | 36,000 |
| 15% | 6,000 | 46,000 | 34,000 |
| 20% | 8,000 | 48,000 | 32,000 |
| 25% | 10,000 | 50,000 | 30,000 |
| 50% | 20,000 | 60,000 | 20,000 |
Full breakdown
- Difference
- +6,000
- Multiplier
- ×1.15
- Going back from 46,000 to 40,000
- −13.04%
Guide
Three questions, one tool
Most percentage questions are one of three kinds, and each has its own button:
- Change A to B. “My salary went from ₹40,000 to ₹46,000: what hike is that?” Divide the difference by the starting number: (46,000 − 40,000) ÷ 40,000 = 15%.
- Add or take off. “What is ₹1,200 minus 15%?” Multiply by (1 − 0.15): ₹1,020. Adding works the same way with (1 + 0.15).
- Find original. “A price is ₹1,180 with 18% GST: what was it before?” Divide by (1 + 0.18): ₹1,000. Many people take 18% off ₹1,180 instead and get ₹967.60, which is wrong.
Why going back isn’t the same percentage
A number that rises 20% and then falls 20% ends 4% lower than it started: 100 → 120 → 96. The fall is worked out on the bigger number. That’s why the tool shows both directions: ₹40,000 → ₹46,000 is +15%, but ₹46,000 → ₹40,000 is −13.04%.
Ravi’s hike in Kallakurichi
Ravi works at a textile shop in Kallakurichi and earned ₹18,000 a month. After his yearly review he gets ₹20,000.
- The hike is (20,000 − 18,000) ÷ 18,000 = 11.11%.
- In a year that’s ₹24,000 more: ₹2,16,000 → ₹2,40,000. Turn on Salary view to see both.
- Prices rose about 5.54% over the year (India’s retail inflation in September 2026). Turn on After inflation: his real rise is about 5.28%.
- If his pay went from ₹12,000 to ₹20,000 over 5 years, Over years shows that’s about 10.76% a year, well ahead of inflation.
Percentage points and percent
When the numbers are themselves rates, say so carefully. A loan rate going from 8% to 9% is a rise of 1 percentage point, but the rate itself went up 12.5% (1 ÷ 8). News reports and bank letters often mix the two. The tool points this out when both numbers look like rates.
Growth over years (CAGR)
If something grew from ₹1,00,000 to ₹2,00,000 in 5 years, it didn’t grow 20% a year; it grew about 14.87% a year, compounded. That is the compound annual growth rate (CAGR). Turn on Over years, type the years, and the tool shows the yearly rate and the path, year by year.
| Rise in total | Over 3 years | Over 5 years | Over 10 years |
|---|---|---|---|
| +25% | 7.72% a year | 4.56% a year | 2.26% a year |
| +50% | 14.47% a year | 8.45% a year | 4.14% a year |
| +100% | 25.99% a year | 14.87% a year | 7.18% a year |
Discounts that stack
Shop offers are percentages on percentages. “Extra 10% off on 40% off” is not 50% off: the second discount is taken from the already lower price, so you pay 0.6 × 0.9 = 0.54 of the price, a total of 46% off. “Buy 2, get the second at 50%” is 25% off each piece if both cost the same. Use Add or take off twice, or multiply the factors, to see what you really pay.
Common mistakes
- Taking a percentage off to undo an increase. To remove 18% GST from ₹1,180, divide by 1.18; don’t subtract 18%.
- Adding yearly percentages. 10% a year for 3 years is 33.1% in total, not 30%, because each year grows on the last.
- Calling a 1-point rate rise “1%”. From 8% to 9% is 1 percentage point, or 12.5% of the old rate.
- Ignoring inflation in a hike. A 6% hike with prices up 5.54% is a real rise of under 0.5%.
How to use this tool
- Pick Change A to B, Add or take off or Find original.
- Type the two numbers.
- Turn on Salary view, After inflation or Over years only if you need them.
Sources
Facts checked 18 Oct 2026Questions
How do I calculate a percentage increase?
Subtract the old number from the new one, divide by the old number and multiply by 100. ₹40,000 to ₹46,000 is 6,000 ÷ 40,000 = 15%.
How do I find the original price before a percentage was added?
Divide by (1 + the percentage). ₹1,180 with 18% GST was ₹1,180 ÷ 1.18 = ₹1,000 before GST.
Why is a 20% rise followed by a 20% fall not zero?
Because the fall is worked out on the bigger number. 100 → 120 → 96 ends 4% lower.
What is the difference between percent and percentage points?
A rate going from 8% to 9% rises by 1 percentage point, which is a 12.5% increase in the rate itself.
How do I calculate my salary hike percentage?
Use Change A to B with your old and new pay. Turn on Salary view to see it a month and a year, and After inflation for the real rise.
What is CAGR?
The steady yearly growth that takes a number from its start to its end over several years. ₹1 lakh to ₹2 lakh in 5 years is about 14.87% a year.