How to calculate percentage increase

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Last updated: April 4, 2026

Quick Answer: To calculate a percentage increase, find the difference between the new value and the original value, then divide this difference by the original value. Multiply the result by 100 to express it as a percentage.

Key Facts

The formula for percentage increase is: ((New Value - Original Value) / Original Value) * 100
A positive result indicates an increase, while a negative result indicates a decrease.
Percentage increase is commonly used in finance, statistics, and everyday life to compare changes.
It helps to understand the relative change in a value over time or between two different points.
The original value is also known as the base value or the starting point.

What is Percentage Increase?

Percentage increase is a way to express how much a quantity has grown relative to its original size. It's a fundamental concept used across various fields, from personal finance and business to statistics and scientific research. Understanding how to calculate it allows you to easily compare changes and understand the magnitude of growth.

Why is Percentage Increase Important?

Imagine your salary increased from $50,000 to $55,000. A simple difference of $5,000 doesn't tell the whole story. Was this a significant raise? By calculating the percentage increase, we can see that this is a 10% increase ($5,000 / $50,000 * 100). This standardized metric allows for easier comparison. For instance, a $5,000 increase on a $100,000 salary would only be a 5% increase. Percentage increase provides context and allows for meaningful comparisons between different values, regardless of their original magnitude.

How to Calculate Percentage Increase: A Step-by-Step Guide

Calculating percentage increase involves a straightforward formula and a few simple steps:

Step 1: Find the Difference (Increase Amount)

The first step is to determine the actual amount of increase. Subtract the original value from the new value.

Formula: Increase Amount = New Value - Original Value

Example: If a stock price went from $100 to $120, the increase amount is $120 - $100 = $20.

Step 2: Divide the Increase by the Original Value

Next, you need to find out what fraction of the original value the increase represents. Divide the increase amount (calculated in Step 1) by the original value.

Formula: Fraction of Increase = Increase Amount / Original Value

Example: Using the stock price example, the fraction of increase is $20 / $100 = 0.20.

Step 3: Convert to a Percentage

Finally, to express this fraction as a percentage, multiply the result from Step 2 by 100.

Formula: Percentage Increase = (Fraction of Increase) * 100

Example: The percentage increase for the stock price is 0.20 * 100 = 20%.

Putting It All Together: The Formula

You can combine these steps into a single formula:

Percentage Increase = ((New Value - Original Value) / Original Value) * 100

Understanding the Result

The result of this calculation is always a percentage. A positive percentage indicates an increase. If the new value is less than the original value, the result will be negative, indicating a percentage decrease.

Common Applications of Percentage Increase

Finance: Calculating investment returns, salary raises, price changes in stocks or goods.
Business: Analyzing sales growth, profit margins, market share changes.
Statistics: Comparing population growth, economic indicators like GDP, or survey results over time.
Everyday Life: Understanding discounts (as a decrease from an original price), comparing the cost of living, or tracking personal achievements like weight loss or fitness improvements.

Example Scenarios

Scenario 1: Population Growth

A town had a population of 10,000 people in 2020 and 12,000 people in 2023.

Increase Amount = 12,000 - 10,000 = 2,000
Fraction of Increase = 2,000 / 10,000 = 0.20
Percentage Increase = 0.20 * 100 = 20%

The town's population increased by 20% over three years.

Scenario 2: Sales Performance

A store sold 500 units of a product last month and 650 units this month.

Increase Amount = 650 - 500 = 150
Fraction of Increase = 150 / 500 = 0.30
Percentage Increase = 0.30 * 100 = 30%

The store saw a 30% increase in product sales.

Important Considerations:

Original Value: Always ensure you are using the correct original or base value in your calculation. Using the wrong base can lead to inaccurate comparisons.
Context: While percentage increase is powerful, consider the absolute change as well. A 100% increase from $1 to $2 is a significant relative jump, but the absolute gain is small.
Percentage Decrease: The same formula can be used to calculate percentage decrease by simply noting that the 'New Value' will be less than the 'Original Value', resulting in a negative percentage.

Mastering the calculation of percentage increase is a valuable skill that simplifies understanding and communicating changes in various aspects of life.