Percentage Increase Calculator
Enter the original value and the new value to get the percentage increase, with the working shown.
The calculator never sends or saves what you type.
Salary hike in India? The salary hike calculator works in ₹ and LPA: new CTC from a hike %, or the hike % from old and new.
Need to increase a number by a percentage instead? That formula and table are below.
The percentage increase formula
Increase % = (New − Original) ÷ Original × 100
A figure rises from 40 to 50.
- Rise = 50 − 40 = 10
- 10 ÷ 40 = 0.25
- 0.25 × 100 = 25% increase
- Check: 40 + 25% = 50 ✓
Divide by the original, always. The same 10 measured against the new value (10 ÷ 50) is 20%, which is the percentage decrease from 50 back to 40 — a different question. If your two numbers give a fall, the calculator says so rather than reporting a negative increase; the percentage change calculator covers both directions in one place.
How to increase a number by a percentage
The other direction: you know the original and the rate, and want the new value. Multiply by 1 plus the rate as a decimal — a 15% rise means the new value is 115% of the original, so × 1.15.
New = Original × (1 + rate ÷ 100)
Rent of $1,850 goes up 4%.
- 1 + 4 ÷ 100 = 1.04
- 1,850 × 1.04 = $1,924
- The rise itself: 1,924 − 1,850 = $74
| Increase by | Multiply by | 100 becomes |
|---|---|---|
| 5% | × 1.05 | 105 |
| 10% | × 1.1 | 110 |
| 12.5% | × 1.125 | 112.5 |
| 15% | × 1.15 | 115 |
| 20% | × 1.2 | 120 |
| 25% | × 1.25 | 125 |
| 30% | × 1.3 | 130 |
| 40% | × 1.4 | 140 |
| 50% | × 1.5 | 150 |
| 100% | × 2 | 200 |
Two rises in a row multiply, they do not add: 10% then 10% is × 1.1 × 1.1 = × 1.21, a 21% increase, not 20%.
Salary, rent and price rises
A raise. $25,000 to $28,000 is 3,000 ÷ 25,000 × 100 = a 12% increase. Compare that with the inflation figure for the same year to see whether the raise was real: a 12% raise against 6% inflation is roughly a 5.7% rise in what the money buys (1.12 ÷ 1.06), not 6%. Know the raise % and want the new pay per paycheck or per hour? Use the pay raise calculator.
A price. A coffee that went from $1.85 to $2.15 rose 0.30 ÷ 1.85 × 100 = 16.2%. Small absolute changes on small bases are large percentages, which is why price rises on cheap items feel steeper than they look in cents.
Growth. Followers, revenue, visitors — month on month, always divide by the earlier month. 8,400 to 9,660 is a 15% increase; reporting 9,660 to 8,400 as −15% would be wrong (it is −13%), because the base changed.
A cloud bill. $1,240 one month and $1,460 the next is 220 ÷ 1,240 × 100 ≈ 17.7%. The console shows the dollars; the percentage is yours to work out, and a budget alert at 80% of the limit turns the next rise into an email rather than a surprise. OpsCanopy’s AWS budgets and cost tagging lesson sets one up step by step.
Points, not percent. An interest rate going from 4% to 5% is a rise of 1 percentage point and a 25% increase — the change page explains percent vs percentage points.
Working backwards
Know the value after the rise and the percentage, and want the original? That is a division, not a subtraction: divide by 1 plus the rate. The value before an increase calculator does exactly that, with the same working shown.
Salary hike in India: CTC and LPA
In India, pay is quoted as CTC in LPA — lakh per annum, where one lakh is 1,00,000 rupees. A hike is a percentage increase on your old CTC, so this calculator works for it: old CTC in Starting value, new CTC in Ending value, one unit in both fields (6 and 6.9, or 6,00,000 and 6,90,000). For your new CTC and increment from a hike %, with ₹ and lakh grouping, use the salary hike calculator.
Compare fixed pay with fixed pay: a bigger variable or joining bonus flatters an offer.
Frequently asked questions
How do you calculate percentage increase?
Take the new value minus the original value, divide by the original value, then multiply by 100. From 40 to 50: 50 − 40 = 10, then 10 ÷ 40 = 0.25, then × 100 = a 25% increase. The divisor is always the original — the number you started from.
What is the percentage increase from 40 to 50?
25%. The rise is 10, and 10 is a quarter of the original 40. Going the other way, 50 down to 40 is a 20% decrease — the same 10, measured against the larger number.
How do I increase a number by 20%?
Multiply it by 1.20. A 20% rise leaves you with 120% of the original, and 120% is 1.2. So 250 increased by 20% is 250 × 1.2 = 300. Adding the 20% separately (250 × 0.2 = 50, then 250 + 50) gives the same answer in two steps.
How do I work out a salary increase percentage?
New salary minus old salary, divided by the old salary, times 100. A move from $62,000 to $65,000 is 3,000 ÷ 62,000 × 100 = a 4.84% raise. To go the other way — you know the percentage and want the new salary — multiply the old salary by 1 plus the rate: 62,000 × 1.045 = $64,790 for a 4.5% raise.
What is the difference between percentage increase and percentage change?
Percentage change is the general measure and can be positive or negative; a percentage increase is a percentage change that happens to be positive. If your two numbers give a negative answer, the calculator above will tell you it is a decrease rather than reporting a negative increase.
Can a percentage increase be more than 100%?
Yes. Doubling is a 100% increase, tripling is 200%. From 40 to 100 is a 150% increase: the rise of 60 is one and a half times the original 40. Nothing caps it — only decreases are bounded, at 100%, because a value cannot fall below zero by falling.
How do I find the original value before an increase?
Divide the new value by 1 plus the rate. If 300 is the result of a 20% rise, the original was 300 ÷ 1.2 = 250. Subtracting 20% of 300 gives 240, which is wrong: the 20% was taken of the smaller original. The value-before-an-increase calculator does this division for you.