Percentage Decrease Calculator

Percentage Decrease Calculator

Calculate the percentage decrease between two values with step-by-step explanations

Calculate Percentage Decrease

Choose your calculation method and enter the values

Result

Detailed breakdown of your calculation

Original Value

100

New Value

75

Decrease Amount

25

Percentage Decrease

25%

Step-by-step calculation:

  1. Find the decrease amount:
    Original Value - New Value = Decrease Amount
    100 - 75 = 25
  2. Calculate the percentage decrease:
    (Decrease Amount ÷ Original Value) × 100 = Percentage Decrease
    (25 ÷ 100) × 100 = 25%

Formula:

Percentage Decrease = (Original - New) ÷ Original × 100%

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About Percentage Decrease

Understanding how percentage decrease works

What is Percentage Decrease?

Percentage decrease measures how much a value has decreased relative to its original value, expressed as a percentage. It's commonly used to describe reductions in prices, populations, measurements, and other quantities.

The Formula

Percentage Decrease = ((Original Value - New Value) ÷ Original Value) × 100%

Example

If a product's price drops from $80 to $60:

  1. Calculate the decrease: $80 - $60 = $20
  2. Divide by the original value: $20 ÷ $80 = 0.25
  3. Convert to percentage: 0.25 × 100% = 25%

Therefore, the price decreased by 25%.

Common Applications

  • Price reductions and sales
  • Population decline
  • Weight loss
  • Budget cuts
  • Depreciation of assets

Finding the New Value After a Percentage Decrease

If you know the original value and the percentage decrease, you can find the new value using:

New Value = Original Value × (1 - Percentage Decrease ÷ 100)

For example, a 25% decrease from $80 would be: $80 × (1 - 25 ÷ 100) = $80 × 0.75 = $60

Have you ever wondered how much a price dropped during a sale? Or maybe you want to know how much a quantity reduced over time? That’s where the concept of percentage decrease comes in handy. This article will explain what percentage decrease means, how to calculate it by hand, and how to use an online percentage decrease calculator tool to make your life easier.

What Is Percentage Decrease and Why Does It Matter?

Percentage decrease tells you how much something has gone down, shown as a percent of the original amount. It’s useful in many situations, like:

  • Figuring out discounts during shopping sales
  • Tracking drops in stock prices
  • Measuring reductions in quantities or statistics
  • Comparing changes in expenses or incomes

Knowing percentage decrease helps you understand how significant a drop is — bigger percentage means a bigger decrease.

Percentage Decrease Calculator

The Formula for Percentage Decrease

To find percentage decrease, you use this simple formula:

Percentage Decrease=(Original Value−New ValueOriginal Value)×100\text{Percentage Decrease} = \left( \frac{\text{Original Value} – \text{New Value}}{\text{Original Value}} \right) \times 100Percentage Decrease=(Original ValueOriginal Value−New Value​)×100

Let’s break it down:

  • Original Value: The starting amount before the decrease
  • New Value: The amount after the decrease
  • Subtract: Find the difference by subtracting New Value from Original Value
  • Divide: Divide the difference by the Original Value to get the fraction of decrease
  • Multiply by 100: Convert that fraction into a percentage

How to Calculate Percentage Decrease Manually: Step-by-Step Example

Imagine a jacket was originally priced at $80 but is now on sale for $60. How much did the price decrease in percentage?

Step 1: Identify the values

  • Original Price = $80
  • New Price = $60

Step 2: Subtract the new price from the original price

80−60=2080 – 60 = 2080−60=20

Step 3: Divide the difference by the original price

2080=0.25\frac{20}{80} = 0.258020​=0.25

Step 4: Multiply by 100 to get the percentage

0.25×100=25%0.25 \times 100 = 25\%0.25×100=25%

Answer: The price decreased by 25%.

How to Use an Online Percentage Decrease Calculator

If you want to skip the manual math, an online percentage decrease calculator is a quick tool that does all the work for you.

Here’s how to use it:

  1. Enter the Original Value (e.g., $80)
  2. Enter the New Value (e.g., $60)
  3. Click Calculate

The calculator instantly shows the percentage decrease. It’s super helpful when you want fast and accurate answers, especially with bigger or more complicated numbers.

Practical Examples of Percentage Decrease

  • Price Drop: A TV priced at $500 is now $400. What’s the percentage decrease?
  • Weight Loss: You weighed 180 lbs last month and now weigh 165 lbs. What percentage weight did you lose?
  • Quantity Reduction: A company produced 1,000 units last year but only 750 this year. What’s the percentage decrease in production?

You can calculate all these with the formula or the calculator tool easily.

How To Calculate Percentage Decrease

FAQ:

Percentage decrease means the value went down, and percentage increase means the value went up. The formulas are similar but reversed.

 No, percentage decrease should never be negative. If you get a negative result, it means the value actually increased.

  • Don’t mix up Original and New values; the original value is always your starting point.
  • Remember to multiply by 100 to convert to percentage.
  • Ensure the new value is less than the original for a decrease — otherwise, it’s an increase.

Summary

  • Percentage decrease measures how much something has dropped, expressed as a percent of the original value.
  • Use the formula: Original−NewOriginal×100\frac{\text{Original} – \text{New}}{\text{Original}} \times 100OriginalOriginal−New​×100.
  • Manual calculations involve simple subtraction, division, and multiplication.
  • Online calculators make finding percentage decreases quick and easy.
  • This concept applies everywhere: sales, weights, production, stats, and more.

Try calculating some percentage changes yourself using a Percentage Calculator Online — it’s a useful skill that can help you in school, work, or daily life!