How It Works
Percentage change measures how much a value has changed relative to the original value.
% Change = ((New − Original) ÷ |Original|) × 100 | Multiplier = New ÷ Original
- Positive results indicate an increase; negative results indicate a decrease.
- The formula uses the absolute value of the original for sign consistency.
- The multiplier (New ÷ Original) is the factor by which the original grew or shrank.
Worked Example
A product’s price changed from $100 to $125.
The price increased by $25, which is a 25% increase. The new price is 1.25× the original.
Understanding Percentage Change
What this calculator measures
Percentage change tells you how much a value has grown or shrunk relative to where it started. You enter an original (starting) value and a new (ending) value, and the tool returns the percent change, the raw dollar-or-unit difference, and the growth multiplier that converts one into the other.
It is the right tool any time you have a clear "before" and "after": a price that moved, a salary that was adjusted, web traffic month over month, or a lab reading compared to a baseline. The starting value is always the reference point everything is measured against.
The formula and the steps
The method is three short steps. Subtract the original from the new value to get the absolute change, divide that by the original value, then multiply by 100 to turn the fraction into a percent: % Change = ((New − Original) ÷ Original) × 100.
The multiplier is a useful companion number: New ÷ Original. A multiplier of 1.25 means the value is 1.25 times its old size, i.e. a 25% increase, while 0.80 means it shrank to 80% of the original, a 20% decrease.
Reading your result
A positive percentage is an increase and a negative one is a decrease — the sign always points to the direction of the move. The absolute change is shown in the same units as your inputs so you can see the plain size of the difference alongside the relative one.
Watch the size, not just the sign. A 5% change on a small base is a small move, but the same 5% on a large base can be substantial in absolute terms. Looking at the percentage and the absolute change together gives the full picture.
Common mistakes to avoid
The classic error is dividing by the wrong number. Percentage change always divides by the original (starting) value, never the new one. Swapping them is why 80→100 and 100→80 give different percentages: +25% versus −20%.
A second trap is treating percentage change like a percentage point. If an interest rate rises from 3% to 5%, that is a 2 percentage-point increase but a 66.7% relative increase. The two describe the same event in different language, so be clear about which one your audience expects.
A worked second example
Suppose monthly revenue falls from $12,000 to $9,600. The absolute change is 9,600 − 12,000 = −$2,400. Dividing by the original, −2,400 ÷ 12,000 = −0.20, and multiplying by 100 gives a 20% decrease. The multiplier confirms it: 9,600 ÷ 12,000 = 0.80.
To check the answer, reverse it: a 20% drop means you keep 80% of the original, and 12,000 × 0.80 = 9,600. When the forward and reverse calculations agree, you can trust the result.
Limitations and edge cases
Percentage change is undefined when the original value is zero, because you cannot divide by zero — there is no meaningful "percent of nothing." The calculator flags this rather than returning a misleading figure.
Results can also be hard to interpret when values cross zero, such as a loss turning into a profit. In those cases the percentage can look enormous or have a confusing sign, so the absolute change is often the clearer number to report.
Sources & References
Figures on this page are checked against primary, authoritative sources. Links open in a new tab.