A percentage change calculator that keeps change, difference and points apart
This percentage change calculator answers questions that are easy to mix up. How much did something rise or fall in percentage terms from an old value to a new one? How different are two values when neither is the starting point? By how many percentage points did a rate move? What was the original value before a known percentage change? And what target value does a given rise or fall give — handy for a coin, share or price?
Each mode shows the formula with your numbers plus context: the absolute change, multiplier, symmetric difference, basis points or the rise needed to recover a loss. It suits prices, salaries, sales, scores and rate news, and runs in your browser.
How to use the Percentage Change Calculator
- Pick a mode: % change, % difference, Percentage points or Find original.
- For % change, enter the old value first and the new value second — the order matters.
- For % difference, enter any two values; swapping them gives the same answer.
- For percentage points, enter the old and new rates as plain numbers (8.5 for 8.5%).
- For Find original, enter the value after the change, the percentage, and whether it was an increase or a decrease.
- For a Target value, enter a starting price, the percentage and whether it is a rise or fall.
- Read the result and the tiles, follow the worked steps, and press “Copy result”.
Percentage Change Calculator features
Five calculations in one
Directional change, symmetric difference, percentage points, reverse percentages and target values, each with its own formula.
Context, not just a number
Every % change also shows the absolute change, the multiplier and the symmetric difference for comparison.
Basis points included
Rate moves are shown in percentage points, basis points and relative percent side by side.
Honest edge cases
Changes from zero and 100% decreases are explained, and falls show the rise needed to recover.
Change, difference or percentage points?
Use percentage change when there is a clear before and after. An electricity bill that goes from ₹1,840 to ₹2,116 has risen by (2,116 − 1,840) ÷ 1,840 × 100 = 15%. The old value is the reference, so reversing the direction gives a different number: going from ₹2,116 back to ₹1,840 is a 13.04% fall.
Use percentage difference when comparing two things on equal terms — the same phone at ₹450 and ₹510 in two shops, or two lab measurements. Dividing by their average gives one symmetric answer, 60 ÷ 480 × 100 = 12.5%, whichever you list first.
Use percentage points when the values are already percentages. If a home-loan rate moves from 8.5% to 9.25%, it has risen by 0.75 percentage points (75 basis points), which is a relative increase of 8.82%. Saying “the rate rose 0.75%” is ambiguous at best.
| Measure | Formula | Use it when | Example |
|---|---|---|---|
| Percentage change | (new − old) ÷ |old| × 100 | There is a before and an after | 1,840 → 2,116 = +15% |
| Percentage difference | |a − b| ÷ ((a + b) ÷ 2) × 100 | Neither value is the reference | 450 vs 510 = 12.5% |
| Percentage-point change | new % − old % | Both values are rates or shares | 8.5% → 9.25% = +0.75 pp |
| Reverse percentage | final ÷ (1 ± p/100) | You know the result and the % change | 67,200 after +12% → 60,000 |
Why losses need bigger gains to recover
A percentage fall is measured from the higher starting value, but the recovery is measured from the lower one. A share price that drops 40% from $50 to $30 must climb $20 — which is 66.67% of $30 — to get back. The deeper the fall, the steeper the climb, so a 50% loss needs a 100% gain. For growth over several years, the CAGR Calculator gives the steady annual rate instead.
| Fall | Rise needed to recover |
|---|---|
| −10% | +11.11% |
| −20% | +25% |
| −25% | +33.33% |
| −40% | +66.67% |
| −50% | +100% |
| −75% | +300% |
Mistakes to avoid
- Dividing by the wrong value. Percentage change always divides by the old value. Dividing by the new one turns a 15% rise into 13%.
- Reversing a percentage the wrong way. A salary of ₹67,200 after a 12% raise was ₹60,000 (67,200 ÷ 1.12), not ₹59,136 (67,200 minus 12% of itself).
- Adding up successive changes. A 10% rise followed by another 10% rise is 21% overall, because the second rise is on a larger base: multiply 1.10 × 1.10.
- Calling a rate change a percent change. Voter turnout moving from 62% to 68% is a 6-point rise, but a 9.68% relative increase.
- Using percentages of tiny bases. Sales going from 2 units to 6 is a 200% increase; quote the absolute change too so the number isn’t misleading.
Percentage Change Calculator FAQ
How do I calculate percentage change between two numbers?
Subtract the old value from the new value, divide by the old value and multiply by 100. From 1,250 to 1,400: (1,400 − 1,250) ÷ 1,250 × 100 = +12%. A negative answer means a decrease. The percentage change calculator shows each of these steps.
What is the difference between percentage change and percentage difference?
Percentage change has a direction and uses the old value as its base, so A → B and B → A give different answers. Percentage difference compares two values symmetrically by dividing by their average, so the order doesn’t matter.
What is a percentage point?
It is the simple arithmetic difference between two percentages. A tax rate rising from 18% to 20% has gone up 2 percentage points, which is an 11.11% relative increase. One percentage point equals 100 basis points, the unit banks use for interest-rate moves.
How do I find the original price before a percentage increase?
Divide the new price by 1 plus the percentage as a decimal. If a ticket costs $69 after a 15% rise, the original was $69 ÷ 1.15 = $60. For a decrease, divide by 1 minus the percentage. Use the Find original mode, or the Discount Calculator for sale prices.
Can percentage change be more than 100%?
Increases can be any size — doubling is +100% and tripling is +200%. Decreases stop at −100%, which means the value fell to zero.
Can I use this as a crypto percentage change calculator?
Yes. Enter the buy price and the current price in % change mode, or use Target value to see the price after a +25% or −40% move. For fees, break-even and tax, use the Crypto Profit Calculator. Informational only, not financial advice.
Why can’t I calculate a percentage change from zero?
The formula divides by the old value, and dividing by zero is undefined. Any rise from nothing would be an infinite percentage, so report the absolute change instead. For everyday “what is X% of Y” questions, the Percentage Calculator covers the basics.