Find the percentage change between two numbers. Enter the initial value and the final value, and the calculator returns the percent change — positive for an increase, negative for a decrease — along with the actual difference and the calculation steps.
The percentage change calculator tells you how much a value has changed — up or down — as a percentage of where it started. Enter the number you began with (the initial value) and the number you ended with (the final value), and the calculator instantly returns the percentage change, along with the actual difference and the exact steps used to reach the answer. A positive result means the value went up (a percentage increase); a negative result means it went down (a percentage decrease). One tool covers both directions.
Percentage change is one of the most useful everyday calculations there is. It turns a raw change — a price that moved, a salary that shifted, a follower count that jumped or dropped — into a single figure you can compare fairly across different starting sizes. A $10 move means something very different on a $20 item than on a $2,000 item, and the percentage change is exactly what captures that difference.
A percentage change measures how much a quantity has changed relative to its original size, expressed as a percentage of that original value. If something moves from 100 to 150, it has increased by 50 — and because 50 is half of the original 100, that is a 50% change (an increase). If it instead falls from 100 to 75, it has changed by −25, which is a 25% decrease.
The key idea is that the change is always measured against the starting value. This is what makes percentage change so useful for comparison: it puts every change on the same scale, no matter how large or small the numbers involved. Because the calculation is signed, a single formula handles both growth and decline — a positive answer is an increase, and a negative answer is a decrease.
The formula for percentage change is:
percentage change = 100 × (final − initial) ÷ |initial|
In words: subtract the initial value from the final value to find the change, divide that change by the absolute value of the initial value, and multiply by 100 to turn it into a percentage. Using the absolute value of the initial number in the denominator keeps the sign of the result meaningful — a genuine increase always comes out positive and a decrease always comes out negative, even when you are working with negative starting values.
This is the same formula used to calculate a percentage increase or a percentage decrease; the only difference is the sign of the answer. When the final value is larger than the initial value, the change is positive (an increase); when it is smaller, the change is negative (a decrease).
You can work out a percentage change by hand in three quick steps:
If the answer is positive, the value increased by that percentage; if it is negative, the value decreased by that amount.
Suppose a value goes from 60 to 72. To find the percentage change:
The result is positive, so 72 is a 20% increase over 60. These are the default values in the calculator, so you can press Calculate to see the full result, then enter your own numbers. Now suppose the value later falls from 72 back to 60: the change is (60 − 72) ÷ 72 × 100 ≈ −16.7%, which the calculator reports as a 16.7% decrease. Notice the increase and the decrease are different sizes, because each is measured against a different starting value.
After you enter the two values, the calculator reports:
It is easy to confuse percentage change with percentage difference, but they answer different questions. Percentage change has a clear direction: it measures the move from an initial value to a final value, and the starting value is always the reference. Percentage difference, by contrast, compares two values without treating either as the "start," using their average as the reference. If you are tracking something over time — a before and an after — percentage change is what you want. If you are simply comparing two independent quantities, percentage difference may be more appropriate. This calculator computes percentage change, with the initial value as the base.
Another common source of confusion is the difference between a percentage change and a percentage point change — especially when the values themselves are percentages. Suppose an interest rate rises from 4% to 6%. That is an increase of 2 percentage points, but as a percentage change it is 100 × (6 − 4) ÷ 4 = 50%. Both statements are correct, but they mean different things: "2 percentage points" is the raw difference between the two rates, while "50%" describes how large that jump is relative to the starting rate. News reports and financial summaries often blur these, so it always pays to know which one is being used.
Here is a subtle but important fact: a percentage increase followed by the same percentage decrease does not return you to where you started. Imagine a $100 item that goes up 20% to $120, then comes down 20%. The 20% decrease is taken from $120, not $100, so it falls by $24 to $96 — not back to $100. This is why a stock that drops 50% must then rise by a full 100% just to break even. Because each percentage is calculated from a different base, changes of the same size in opposite directions do not cancel out. Keeping the initial and final values straight, as this calculator does, avoids this classic trap.
Percentage change shows up constantly in daily life:
In each case, the percentage change makes movements comparable regardless of the original size, which is exactly why it is so widely used.
Seeing the formula in action across everyday situations makes it easier to apply to your own numbers:
Few places rely on percentage change more than finance. A stock price, an index level, or a portfolio value is almost always quoted with its percentage change over a day, a month, or a year, because that single figure lets investors compare performance across assets of wildly different prices. A $2 move in a $20 stock (a 10% change) is far more significant than a $2 move in a $500 stock (a 0.4% change), and only the percentage makes that clear. In business, percentage change underpins growth metrics: revenue up 12% year over year, costs down 5%, customer churn up 3%. Because it normalizes for size, percentage change lets a small startup and a global corporation describe their progress on the same scale. Understanding how it is calculated — and its quirks, like the non-symmetry of gains and losses — helps you read these figures critically rather than taking them at face value.
Every percentage change is measured against the initial value, which appears in the denominator of the formula. If the initial value were zero, you would be dividing by zero, which is undefined — and conceptually, there is no meaningful way to express a change "relative to nothing." A move from 0 to any number is an infinite percentage increase, so the calculator requires a non-zero starting value. This is also why the same absolute change represents a bigger percentage when the starting value is small: dividing by a smaller base produces a larger result.
When a value changes several times in a row, the percentage changes do not simply add up. Suppose sales rise 10% one year and 10% the next: the total growth is not 20%, but 21%, because the second year's 10% is applied to the already-larger figure. Multiplying the growth factors gives the true result — 1.10 × 1.10 = 1.21, or a 21% overall change. This compounding effect is why long-run growth (or decline) can be surprisingly large, and it is the same math behind compound interest. To find the overall percentage change across several periods, convert each change to a multiplier (a 10% rise is ×1.10, a 15% fall is ×0.85), multiply them together, subtract 1, and multiply by 100. For a single before-and-after comparison, though, the simple formula this calculator uses is all you need.
Percentages can be used to make a change sound more or less dramatic than it really is, so it pays to read them with care. A headline might trumpet a "100% increase" that turns out to be two extra sales on a base of two, while a "small" 3% change on a national budget can represent billions. Always ask what the starting value was: the same percentage means wildly different absolute amounts depending on the base. It also helps to notice the direction and the reference point — a shop advertising that prices were "cut back to last year's levels" after a rise is not offering the same discount as the earlier increase, thanks to the non-symmetry described above. By showing both the percentage change and the actual difference, this calculator gives you the full picture, so you can judge for yourself how significant a change really is rather than relying on the percentage alone.
Percentage change = 100 × (final − initial) ÷ |initial|. Subtract the initial value from the final value, divide by the absolute value of the initial value, and multiply by 100. A positive result is an increase; a negative result is a decrease.
It is a 20% increase. The difference is 72 − 60 = 12, and 12 ÷ 60 = 0.2, which is 20%. Because the result is positive, it represents an increase.
They use the same formula. Percentage change is the general term and can be positive or negative; a percentage increase is a positive change, and a percentage decrease is a negative one.
It means the value decreased. If the final value is smaller than the initial value, the formula returns a negative number, which represents a percentage decrease of that size.
No. Because each percentage is calculated from a different base, they do not cancel. A value that rises 20% and then falls 20% ends up at 96% of the original, not back where it started.
The formula divides by the initial value, and division by zero is undefined. Percentage change measures movement relative to a starting amount, so there must be a non-zero starting value to compare against.
This Percentage Change Calculator is provided for educational and general informational purposes. While it uses the standard percentage change formula, you should verify results independently for critical financial or academic work.