Loading Calculator...
Please wait a moment
Please wait a moment
Calculate the percentage change between two values. Determine whether it's an increase or decrease with detailed step-by-step solutions.
Formula: ((New - Original) / |Original|) × 100
Example: From 50 to 75 = ((75-50)/50) × 100 = 50% increase
Enter values to calculate percentage change
Percentage Change = ((New - Original) / |Original|) × 100
The formula calculates how much a value has changed as a percentage of the original value. A positive result indicates an increase, while a negative result indicates a decrease.
A stock price went from $40 to $50. What's the percentage change?
The original value cannot be zero, as division by zero is undefined. For comparing values where the original is zero, use absolute difference instead.
Percentage change compares a new value to an original value, showing increase or decrease. Percentage difference compares two values without specifying which is original, using their average as the base. Change has direction (increase/decrease), while difference is always positive.
Use the same formula: ((New - Original) / Original) × 100. If the new value is less than the original, you'll get a negative result, indicating a decrease. Take the absolute value for the magnitude: |((60-80)/80)| × 100 = 25% decrease.
Yes! If a value doubles, that's a 100% increase. If it triples, that's a 200% increase. For example, going from 10 to 30 is ((30-10)/10) × 100 = 200% increase. There's no upper limit to percentage increase.
In Excel, use the formula: =((B2-A2)/A2)*100 where A2 is the original value and B2 is the new value. Format the cell as a number to see the percentage value, or use =((B2-A2)/A2) and format as percentage.
A negative percentage change indicates a decrease. For example, if sales went from $100 to $80, the change is ((80-100)/100) × 100 = -20%, meaning a 20% decrease.
Use the same formula with last year's value as the original and this year's value as the new. For example, if revenue was $1M last year and $1.2M this year: ((1.2-1)/1) × 100 = 20% year-over-year growth.
Division by zero is mathematically undefined. If the original value is zero, you cannot express the change as a percentage of the original. Instead, report the absolute change or use a different metric.
((100-50)/50) × 100 = (50/50) × 100 = 100% increase. When a value doubles, it's always a 100% increase regardless of the starting value.
Percentage change is a fundamental concept in mathematics, finance, and statistics. It measures the relative change between an old value and a new value, expressing this change as a percentage of the original value. This allows for easy comparison of changes across different scales.
Unlike absolute change (which just shows the numerical difference), percentage change provides context by relating the change to the original value. For example, a $10 increase means different things if the original was $20 (50% increase) versus $1000 (1% increase).