Percentage Change Calculator
Calculate the percentage increase or decrease between two values.
How to Calculate Percentage Change
Calculating percentage change is an essential skill for understanding how values evolve over time. Whether you are tracking investment returns, measuring business growth, or monitoring personal progress, knowing the percentage change between two numbers gives you meaningful context. The calculation tells you not just how much something changed, but how significant that change is relative to the starting point.
Percentage Change Formula
The percentage change formula is: ((New Value - Original Value) ÷ Original Value) × 100. This gives you the percentage increase or decrease. For example, if your savings grew from $1,000 to $1,200, the calculation would be ((1200 - 1000) ÷ 1000) × 100 = 20% increase. If a product price dropped from $50 to $40, the calculation is ((40 - 50) ÷ 50) × 100 = -20% decrease. The sign of the result tells you the direction of change.
Percentage Increase vs Decrease
Understanding the difference between percentage increase and decrease is important. A positive result indicates an increase, while a negative result indicates a decrease. The magnitude of the percentage tells you how significant the change is. A 50% increase is much more dramatic than a 5% increase, even though both represent growth. Similarly, a 10% decrease from a higher value represents a larger absolute change than a 10% decrease from a lower value.
Real-World Applications
Percentage change calculations are used everywhere in daily life. In business, they measure revenue growth, profit margins, and market share changes. In personal finance, they track investment performance, salary increases, and cost of living adjustments. In health and fitness, they measure weight loss progress, body composition changes, and workout improvements. In education, they track score improvements and grade changes. Our percentage change calculator makes all these calculations instant and accurate, helping you make better decisions based on data.
Frequently Asked Questions
Percentage change measures how much a value has increased or decreased relative to its original amount, expressed as a percentage. It is calculated by finding the difference between the new and original values, dividing by the original value, and multiplying by 100.
To calculate percentage increase, subtract the original value from the new value, divide by the original value, then multiply by 100.
Formula: ((New Value - Original Value) ÷ Original Value) × 100 = Percentage Increase
Example: If a salary goes from $50,000 to $55,000: ((55000 - 50000) ÷ 50000) × 100 = 10% increase
Percentage decrease uses the same formula as increase. Subtract the new value from the original value, divide by the original value, then multiply by 100.
Formula: ((Original Value - New Value) ÷ Original Value) × 100 = Percentage Decrease
Example: If a price drops from $80 to $60: ((80 - 60) ÷ 80) × 100 = 25% decrease
Percentage change compares a new value to an original value, showing growth or decline. Percentage difference compares two values without a clear original, showing how different they are from each other. Percentage change has a clear direction (increase or decrease), while percentage difference does not.
Percentage change provides context that absolute numbers alone cannot. A $100 increase means very different things depending on whether the starting value was $200 or $20,000. Percentages normalize these differences, making it easy to compare changes across different scales and make informed decisions.