EthicalFusion

Percentage Change Calculator

Calculate the percentage increase or decrease between two values.

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Enter an initial value and a final value and this calculator tells you the percentage increase or decrease between them, along with the raw difference. It answers questions like how much a salary grew after appraisal, how far a share price fell, or how much a grocery bill rose since last year.

The formula

Percentage change = (final − initial) ÷ initial × 100

The result is labelled Increase or Decrease and shown to two decimal places without a sign, and the Difference line shows final minus initial, which is negative for a fall.

Worked examples

Initial → FinalCalculationResult
₹45,000 → ₹52,0007,000 ÷ 45,000 × 10015.56% increase
80 → 60−20 ÷ 80 × 10025% decrease
150 → 100−50 ÷ 150 × 10033.33% decrease

The first row is a typical salary revision: a monthly salary going from ₹45,000 to ₹52,000 is a 15.56% hike. If you want to go the other way and find the new salary from a given hike percentage, the salary hike calculator does that.

Why a rise and a fall are not symmetric

Going from 100 to 150 is a 50% increase, but coming back from 150 to 100 is only a 33.33% decrease, because the second change is measured against a larger starting value. This catches people out with investments: a portfolio that drops 50% needs a 100% gain just to get back to where it started. It is also why a 20% price rise followed by a 20% discount does not bring you back to the original price: 100 becomes 120, and 20% off 120 is 96, so you end up 4% below where you started.

Percent vs percentage points

When the values are themselves percentages, be precise with wording. If a bank raises an FD rate from 6.5% to 7%, the rate went up by 0.5 percentage points, but the percentage change is 0.5 ÷ 6.5 × 100 = 7.69%. News reports on interest rates, inflation and exam pass rates often mix the two up. Enter 6.5 and 7 here and you get the 7.69% figure; the Difference line gives you the percentage points.

When the result is misleading

  • Initial value of zero: any change from zero is infinite in percentage terms, so the calculator shows an error. Report the absolute change instead.
  • Negative starting values: if a business goes from a loss of 50 to a profit of 25, the formula divides by a negative number and the label reads "Decrease 150%" even though things improved. For profit and loss swings, describe the change in rupees rather than as a percentage.
  • Tiny bases: a jump from 2 to 10 customers is a 400% increase, which sounds far more impressive than the eight people it represents.

To find what a percentage of a number is, rather than the change between two numbers, use the percentage calculator.

Frequently asked questions

How do I calculate percentage increase?
Subtract the old value from the new one, divide by the old value and multiply by 100. For 45,000 to 52,000 that gives 15.56 percent.
Why is going from 150 to 100 not a 50 percent decrease?
The change of 50 is measured against the starting value of 150, which gives 33.33 percent. A 50 percent change would be measured from 100.
What is the difference between percent and percentage points?
Percentage points are the simple difference between two percentages, while percent change measures that difference relative to the starting rate.
Why does the calculator not accept an initial value of 0?
Dividing by zero is undefined, so there is no meaningful percentage change from zero. Use the absolute difference instead.
Can I use it for share price or mutual fund returns?
Yes, for the change between two prices. It does not annualise the return, so a 30 percent rise over three years is not 10 percent a year.

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