Percentage Decrease Calculator

Calculate the percentage decrease from an original value to a new value. Enter both values below to find the percentage decrease.

Calculate Percentage Decrease

Percentage Decrease Formula

Percentage Decrease = ((Original Value - New Value) / Original Value) × 100

How It Works

  1. Find the difference: Subtract the new value from the original value
  2. Divide by original: Divide the difference by the original value
  3. Multiply by 100: Convert to a percentage

Examples

Example 1: Discount Price

Problem: An item's price dropped from $200 to $150. What is the percentage decrease?

Solution:

  • Difference: $200 - $150 = $50
  • Divide: $50 / $200 = 0.25
  • Percentage: 0.25 × 100 = 25%

Example 2: Weight Loss

Problem: Someone's weight decreased from 180 lbs to 162 lbs. Find the percentage decrease.

Solution:

  • Difference: 180 - 162 = 18 lbs
  • Divide: 18 / 180 = 0.10
  • Percentage: 0.10 × 100 = 10%

Example 3: Budget Cut

Problem: A department's budget was reduced from $50,000 to $42,500. What's the percentage decrease?

Solution:

  • Difference: $50,000 - $42,500 = $7,500
  • Divide: $7,500 / $50,000 = 0.15
  • Percentage: 0.15 × 100 = 15%

Example 4: Temperature Drop

Problem: The temperature fell from 80°F to 60°F. Calculate the percentage decrease.

Solution:

  • Difference: 80 - 60 = 20
  • Divide: 20 / 80 = 0.25
  • Percentage: 0.25 × 100 = 25%

Example 5: Sales Decline

Problem: Monthly sales decreased from 1,200 units to 900 units. What is the percentage decrease?

Solution:

  • Difference: 1,200 - 900 = 300
  • Divide: 300 / 1,200 = 0.25
  • Percentage: 0.25 × 100 = 25%

About Percentage Decrease

Percentage decrease measures how much a value has reduced relative to its original amount. It's commonly used in sales, finance, and statistics to express reduction in percentage terms.

When to Use Percentage Decrease

  • Calculating discounts and markdowns
  • Measuring budget or expense reductions
  • Tracking weight loss progress
  • Analyzing sales decline
  • Comparing price drops over time

Important Notes

  • Percentage decrease is always calculated relative to the original value
  • A 100% decrease means the value has become zero
  • Percentage decrease cannot be negative (if the new value is larger, it's an increase)
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