Percent Decrease Calculator

Calculate Percent Decrease

Enter the original value and the new value to calculate the percentage decrease. This calculator will show you the exact reduction in percentage.

Please enter a valid number for the original value.
Please enter a valid number for the new value.

How to Calculate Percent Decrease

Percent decrease is a measure of how much a value has decreased from an original amount to a new amount, expressed as a percentage of the original amount. It's a crucial concept in various fields, including finance, statistics, and science.

Percent Decrease Formula

The formula to calculate percent decrease is:

\[ Percent Decrease = \frac{Original Value - New Value}{Original Value} \times 100\% \]

Where:

  • Original Value is the starting amount
  • New Value is the ending amount after the decrease

Calculation Steps

  1. Identify the original value and new value.
  2. Subtract the new value from the original value to find the decrease.
  3. Divide the decrease by the original value.
  4. Multiply the result by 100 to convert to a percentage.

Example Calculation

Let's calculate the percent decrease from 100 to 75.

Step 1: Identify the values

Original Value = 100
New Value = 75

Step 2: Calculate the decrease

Decrease = Original Value - New Value
Decrease = 100 - 75 = 25

Step 3: Apply the formula

\[ Percent Decrease = \frac{25}{100} \times 100\% = 0.25 \times 100\% = 25\% \]

Step 4: Interpret the result

The percent decrease from 100 to 75 is 25%.

Visual Representation

Visualizing 25% Decrease from 100 to 75 Original Value: 100 New Value: 75 -25 units Decrease = 100 - 75 = 25 Percent Decrease = (25 ÷ 100) × 100% = 25% 0 25 50 75 100

This diagram illustrates the 25% decrease from the original value of 100 to the new value of 75.