Percentage Change Calculator

Calculate percentage increase or decrease between two values instantly

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How to calculate percentage change step by step

Percentage change measures how much a value has shifted from its original amount, expressed as a percentage. The formula is: (New Value โˆ’ Original Value) รท Original Value ร— 100. Here's how it works: first, find the difference between your new and original values; then divide that difference by the original value; finally, multiply by 100 to convert to a percentage. A positive result indicates growth, while a negative result shows a decline. For example, if a price increases from $50 to $75, the calculation is: (75 โˆ’ 50) รท 50 ร— 100 = 50%. This means the price went up by 50%. Percentage change is essential in finance, retail, economics, and data analysis for understanding trends and comparing relative changes across different values. Whether you're tracking salary increases, stock performance, or business metrics, this formula provides a standardized way to measure change.

How to Calculate Percentage Change

Percentage change shows how much a value has increased or decreased relative to its original amount. A positive result indicates an increase, while a negative result shows a decrease. This calculation is commonly used in finance, statistics, and everyday comparisons to understand growth or decline.

Formula

The percentage change formula is:

(New Value โˆ’ Original Value) รท Original Value ร— 100

For percentage difference (comparing two values without direction), the formula is:

|A โˆ’ B| รท ((A + B) รท 2) ร— 100

Examples

Frequently Asked Questions

What is percentage change?

Percentage change is a way to express how much a value has increased or decreased relative to its original amount. It's calculated by finding the difference between the new and original values, dividing by the original value, and multiplying by 100. The result shows the relative change as a percentage.

How do you calculate percent increase?

To calculate percent increase, subtract the original value from the new value, divide the result by the original value, and multiply by 100. For example, if a value increases from 40 to 50, the calculation is: (50 โˆ’ 40) รท 40 ร— 100 = 25% increase.

How do you calculate percent decrease?

Percent decrease is calculated the same way as percent increase, but the result will be negative. Subtract the new value from the original value, divide by the original value, and multiply by 100. For example, if a value decreases from 60 to 45, the calculation is: (45 โˆ’ 60) รท 60 ร— 100 = โˆ’25% decrease.

What is the difference between percent change and percent difference?

Percent change measures the change from an original value to a new value, showing direction (increase or decrease). Percent difference compares two values without considering which is the starting point, using their average as the base. Our detailed comparison of percent change vs percent difference explains when to use each method with real-world examples.

What happens if the original value is zero?

Percentage change cannot be calculated when the original value is zero, because division by zero is mathematically undefined. In such cases, you might describe the change in absolute terms rather than as a percentage. To better understand how percentage change works across different scenarios, check out our percentage change examples with step-by-step solutions.

How is percentage change used in business?

Percentage change is critical in business and finance for tracking revenue growth, analyzing profit margins, monitoring sales trends, and evaluating stock performance. Learn how professionals use this metric in our guide to percentage change in business and finance with real company examples.