Percent Change Calculator

Calculate Percent Change

Enter two numbers to calculate the percentage change. A positive result indicates an increase, while a negative result indicates a decrease.

Please enter a valid number for the initial value.
Please enter a valid number for the final value.

How to Calculate Percent Change

Percent change is a measure of how much a value has increased or decreased from an initial amount to a final amount, expressed as a percentage. It's a crucial concept in various fields, including finance, statistics, and science.

Percent Change Formula

The formula to calculate percent change is:

\[ Percent Change = \frac{Final Value - Initial Value}{Initial Value} \times 100\% \]

Where:

  • Initial Value is the starting amount
  • Final Value is the ending amount

Calculation Steps

  1. Identify the initial value and final value.
  2. Subtract the initial value from the final value to find the change.
  3. Divide the change by the initial value.
  4. Multiply the result by 100 to convert to a percentage.

Example Calculation

Let's calculate the percent change from 50 to 75.

Step 1: Identify the values

Initial Value = 50
Final Value = 75

Step 2: Calculate the change

Change = Final Value - Initial Value
Change = 75 - 50 = 25

Step 3: Apply the formula

\[ Percent Change = \frac{25}{50} \times 100\% = 0.5 \times 100\% = 50\% \]

Step 4: Interpret the result

The percent change from 50 to 75 is a 50% increase.

Visual Representation

Percent Change Calculation 50 Initial Value (Starting Point) +25 Change 75 Final Value (End Point) Percent Change Formula ((75 - 50) / 50) × 100% = (25/50) × 100% = 50% 50% Increase Initial Value Final Value Change Amount +50% Change

This diagram illustrates the 50% increase from the initial value of 50 to the final value of 75.

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