Percentage Change
Range: -1000000000 - 1000000000
Range: -1000000000 - 1000000000
Percentage Change
+25.00%
Increase
Absolute Change
+25
Difference
Multiplier
×1.2500
New / Original
Visual Comparison
100 changed to 125
+25.00% increase
Common Percentage Changes
Formula
Percentage Change = ((New Value - Original Value) / |Original Value|) × 100
About the Percentage Change
The Percentage Change tool measures how much a value has increased or decreased relative to its starting point, expressing the difference as a percentage. It answers questions like how much a price rose, how much traffic grew, or how much a metric fell, giving a normalized figure that is comparable across values of very different sizes.
The calculation takes the new value minus the original value, divides that difference by the original value, and multiplies by 100. A positive result indicates a percent increase and a negative result a percent decrease. The original value serves as the denominator, which is why the same absolute change can produce very different percentages depending on the starting point.
This is widely used in finance to track returns and price movements, in analytics to report growth or churn, and in everyday comparisons such as salary raises or price hikes. It complements a general percentage calculator for simpler proportion math and works well alongside discount or markup tools when reasoning about pricing.
Watch for the asymmetry between increases and decreases: a 50 percent drop followed by a 50 percent rise does not return you to the start, because the second percentage is taken on a smaller base. Also note that percentage change is undefined when the original value is zero, since you cannot divide by zero, so the tool needs a nonzero starting figure.
Frequently asked questions
- What is the formula for percentage change?
- Subtract the original value from the new value, divide by the original value, then multiply by 100. A positive result is an increase, a negative one is a decrease.
- What is the difference between percentage change and percentage points?
- Percentage change is relative to the starting value, while percentage points measure the simple arithmetic difference between two percentages. They are not interchangeable.
- Why doesn't a 50 percent decrease then a 50 percent increase return to the start?
- The second percentage applies to a smaller base after the decrease, so it adds back less than was removed, leaving you below the original value.
- What happens if the original value is zero?
- Percentage change is undefined when the starting value is zero, because the calculation would require dividing by zero. A nonzero original value is needed.
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