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Percentage Change Calculator

Percentage change expresses how much a value has grown or shrunk relative to where it started.

Calculated Result
25%%

Percentage Change

Change

+20

Percentage

+25%

25% — Percentage change

Calculation Breakdown

  1. Formula((New - Old) / |Old|) × 100\text{Change\%} = \frac{New - Old}{|Old|} \times 100

What Is the Percentage Change Calculator?

Percentage change measures the relative difference between an original and a new value.

How Does the Percentage Change Calculator Work?

It divides the difference by the absolute original value and multiplies by 100.

Percentage Change Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Change%=New−Old∣Old∣×100\text{Change\%} = \frac{New - Old}{|Old|} \times 100

The signed change is divided by the magnitude of the original value, then scaled to a percentage.

How to Use the Percentage Change Calculator

  1. Enter the old value first, then the new value, and read the percentage change.

Step-by-Step Example Calculation

80 to 100

Input Values:

oldValue:80
newValue:100
Worked Steps: A 25% increase.

Understanding Your Result

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

Factors That Affect the Result

  • Both the size of the change and the original value affect the result.

When Should You Use This Calculator?

  • Use it for prices, populations, metrics and any before-and-after comparison.

Assumptions & Limitations

  • Undefined when the original value is zero.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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