Calculate percent change between two values. Find percentage increase or decrease with step-by-step solutions, chain multiple changes, and use reverse calculations.
Percent Change
+25.00%
The starting or initial value
The ending or final value
Step 1: Identify the values
Original Value (V1) = 100
New Value (V2) = 125
Step 2: Calculate the absolute change
Change = V2 - V1 = 125 - 100 = 25
Step 3: Divide by the absolute value of the original
25 / |100| = 0.250000
Step 4: Multiply by 100 to get percentage
0.250000 x 100 = 25.00%
Percent Change = +25.00% (Increase)
| Original | New | % Change | Multiplier |
|---|---|---|---|
| 100 | 150 | +50% | 1.50x |
| 100 | 200 | +100% | 2.00x |
| 100 | 50 | -50% | 0.50x |
| 100 | 75 | -25% | 0.75x |
| 100 | 100 | 0% | 1.00x |
Percent Change
+25.00%
Quick-start with common scenarios
Test your skills with practice problems
Practice with 3 problems to test your understanding.
Percent change measures how much a value has increased or decreased relative to the original value. Formula: ((New Value - Original Value) / |Original Value|) x 100%. For example, if a price increases from $50 to $65: ((65 - 50) / 50) x 100% = 30% increase. A negative result indicates a decrease.
Percent change (or percentage change) calculates how much a quantity has increased or decreased relative to its original value, expressed as a percentage. It is widely used in finance for price changes, in business for growth rates, and in science for measuring experimental changes. Unlike percent difference, percent change is directional and relative to a specific starting point.
Percent change measures how much a value has increased or decreased relative to the original value. Formula: ((New Value - Original Value) / |Original Value|) x 100%. For example, if a price increases from 50 to 65: ((65 - 50) / 50) x 100% = 30% increase. A negative result indicates a decrease.
Percent change measures how much a value has increased or decreased relative to its original value, expressed as a percentage. The formula is: ((New Value - Original Value) / |Original Value|) x 100%. A positive result indicates an increase, while a negative result indicates a decrease.
Percent change is directional - it measures change FROM an original value TO a new value. Percent difference compares two values without a reference point, using the average of both values as the denominator. Use percent change when you have a clear "before" and "after"; use percent difference when comparing two measurements.
Because percent changes compound multiplicatively, not additively. A 50% increase means multiplying by 1.5. A 50% decrease means multiplying by 0.5. So: 1.0 x 1.5 x 0.5 = 0.75, which is 25% less than the original. The decrease applies to the larger intermediate value.
No, if the original value is zero, the percent change is undefined (division by zero). If starting from zero, you cannot express the change as a percentage. However, you can still calculate the absolute change.
Yes! If a value more than doubles, the percent change exceeds 100%. For example, if a stock price goes from $10 to $25, the percent change is ((25-10)/10) x 100% = 150% increase. Similarly, decreases are limited to -100% (complete loss).
Last updated: 2025-01-15
Explore similar calculators
Percent Change
+25.00%