Percentage Increase Formula

April 24, 2025 3 min read

Understanding the percentage increase formula is essential for various calculations, from tracking business growth to analyzing personal finances. It allows you to quantify the relative change between two values, expressing it as a percentage. This article breaks down the formula, provides practical examples, and shows how our percentage calculator can simplify these calculations.

Calculate Percentage Increase Instantly!

Solve percentage increase problems quickly and accurately with our easy-to-use calculator.

Calculate Percentage Increase Now! →

What is the Percentage Increase Formula?

The percentage increase formula calculates the percentage change from an old value to a new value. It's expressed as:

Percentage Increase = [(New Value - Old Value) / |Old Value|] * 100

  • New Value: The value you are comparing to.
  • Old Value: The original value.

The absolute value of the old value ensures that the calculation works correctly regardless of whether the original value is positive or negative.

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

  1. Find the Difference: Subtract the Old Value from the New Value.
  2. Divide by the Absolute Value of the Old Value: Divide the difference obtained in the previous step by the absolute value of the Old Value.
  3. Multiply by 100: Multiply the result by 100 to express the change as a percentage.

Example Problem: Calculating Price Increase

Let's say the price of a product increased from $50 to $60. To find the percentage increase:

  1. Difference: $60 - $50 = $10
  2. Divide: $10 / $50 = 0.2
  3. Multiply: 0.2 * 100 = 20%

Therefore, the price increased by 20%.

Why Use Our Percentage Calculator?

While understanding the formula is important, performing these calculations manually can be time-consuming and prone to errors. Our percentage calculator offers a quick and accurate solution. Simply input the old and new values, and the calculator will instantly provide the percentage increase. You can easily find what percent of a number is (like using the calculator to find what is 15% of 200), figure out what percentage one number is of another (like 30 is what percent of 150), or calculate how much something increased or decreased in percentage terms (like going from 80 to 100). It's accessible on both your phone and computer, making percentage calculations convenient wherever you are.

Beyond Percentage Increase: Other Percentage Calculations

Our calculator is versatile and can handle various percentage-related problems. Need to find the percentage decrease? Want to calculate the percent difference between two numbers? Our tool can do it all! Plus, you can also use our tools to calculate profit percentage or even body fat percentage!

Percentage Increase in Real Life Scenarios

Understanding and calculating percentage increase is useful in many real-world situations, such as:

  • Finance: Calculating the growth rate of investments.
  • Business: Analyzing sales increases or cost changes.
  • Health: Tracking weight loss or muscle gain.
  • Education: Evaluating improvement in test scores.

Conclusion

The percentage increase formula is a valuable tool for understanding and quantifying change. While the formula itself is straightforward, our percentage calculator simplifies the process, ensuring accuracy and saving you time. Use our tool today to quickly solve all your percentage-related problems.