How do I calculate percentage change?

The percentage change formula is: ((New Value - Original Value) / Original Value) × 100. This gives you the percentage increase or decrease. For example, if a stock price goes from $50 to $60, the change is ($60 - $50) / $50 × 100 = 20% increase. If the price drops to $40, the change is ($40 - $50) / $50 × 100 = -20% decrease.

What is the difference between percentage change and absolute change?

Absolute change is the simple difference between two numbers (e.g., $125 - $100 = $25), while percentage change expresses this difference as a percentage relative to the original value (e.g., $25 / $100 × 100 = 25%). Percentage change is more useful for comparing changes across different scales. A $25 increase on a $100 item (25%) is more significant than a $25 increase on a $1,000 item (2.5%).

Why can't I calculate percentage change from zero?

Division by zero is undefined in mathematics. If your original value is zero, there is no meaningful percentage change because you cannot divide by zero to calculate a ratio. For example, going from $0 to $100 cannot be expressed as a percentage increase—it's an infinite increase. In such cases, only the absolute change is meaningful.

How do I calculate percentage change for negative numbers?

The formula remains the same: ((New - Original) / Original) × 100. For example, if a temperature changes from -10°C to -5°C, the change is (-5 - (-10)) / (-10) × 100 = 5 / (-10) × 100 = -50%. The calculator uses the absolute value of the original number to determine the direction, so negative to positive changes are handled correctly.

Can percentage change be greater than 100%?

Yes, percentage change can exceed 100% or even be negative beyond -100%. A 200% increase means the new value is 3 times the original (original + 2×original). A -50% change means the value is cut in half. A -100% change means the value becomes zero. However, you cannot have a decrease greater than -100% unless the original value is negative.

⚡CalcCenter

All Calculators

Percentage Change Calculator

Calculate the percentage increase or decrease between two values. Perfect for tracking price changes, growth rates, and comparing metrics over time.

How to Use This Percentage Change

To calculate percentage change, follow these steps:

Enter the Original Value: This is your starting point or baseline number.
Enter the New Value: This is the value you are comparing it to.
The calculator will instantly show: The percentage change (positive for increase, negative for decrease), the absolute difference, and the direction (increase, decrease, or no change).

Use this to track prices, investment returns, population growth, or any metric that changes over time.

What Is Percentage Change?

A percentage change calculator determines how much a value has increased or decreased relative to its original amount. It expresses this change as a percentage, making it easy to compare growth or decline across different scales and contexts.

Percentage change is essential in business, finance, and science for tracking performance, growth rates, price fluctuations, and other metrics over time.

Formula & Methodology

The percentage change formula is:

Percentage Change = ((New Value − Original Value) / |Original Value|) × 100

New Value = The final or current value
Original Value = The initial or starting value
Absolute Change = New Value − Original Value

A positive result indicates an increase; a negative result indicates a decrease.

Practical Examples

Example 1 (Increase): Stock price rises from $50 to $65. Percentage change = (($65 - $50) / $50) × 100 = 30% increase. Absolute change = $15.

Example 2 (Decrease): Enrollment drops from 500 students to 425 students. Percentage change = ((425 - 500) / 500) × 100 = -15% decrease. Absolute change = -75 students.

Frequently Asked Questions

Related Calculators

Percentage Calculator

Calculate percentages instantly. Find what percent one number is of another, compute percentage of a value, or determine the percentage change between two numbers.

Discount Calculator

Calculate the sale price after a discount, including support for stacked discounts and sales tax. Enter the original price, discount percentage, and optional second discount to see your total savings.

Markup & Margin Calculator

Calculate markup percentage, gross margin, and profit per unit. Enter cost and selling price, or cost and markup percentage, to see a full breakdown.

ROI Calculator

Calculate your return on investment including ROI percentage, profit or loss, annualized ROI, and monthly equivalent return. Enter your initial investment and final value to see a full breakdown.