Math Calculators

Percentage Increase – Decrease Calculator


Percentage Increase – Decrease Calculator

Input Values


Calculation Result

Original Value: 0

New Value: 0

Difference: 0

Percentage Increase & Decrease Calculator

Imagine this: Sarah walks into a store and sees her favorite jacket. Yesterday it was $80, but today the tag shows $60. She wonders, “How big of a discount is this really?”

At the same time, John, her friend, just got a raise. His salary went from $2,500 to $2,750 a month. He’s excited, but he also wants to know: “What’s the percentage increase in my pay?”

Different situations, same question: How much did things change in percentage terms?

This is where the Percentage Increase & Decrease Calculator steps in.

What is this calculator, in simple words?

It’s a tool that compares two numbers — the original value and the new value — and tells you whether the change is an increase or a decrease, and by how many percent.

It answers questions like:

  • “How much cheaper is this sale item?”
  • “What’s my raise in percentage terms?”
  • “How much weight did I lose compared to where I started?”
  • “How much did my investment grow?”

In short: It translates plain numbers into meaningful insights.

The Formula (don’t worry, it’s simple)

Here’s the magic behind the scenes:

Percentage Change = ((New Value – Original Value) ÷ Original Value) × 100

  • If the result is positive → it’s a percentage increase.
  • If the result is negative → it’s a percentage decrease.

How the Calculator Works – Step by Step (like a story unfolding)

Let’s go back to Sarah’s jacket:

  1. Enter the original price: 80
  2. Enter the new price: 60
  3. Calculator does the math:
    • Difference = 60 − 80 = −20
    • Divide by original = −20 ÷ 80 = −0.25
    • Multiply by 100 = −25%
  4. The result appears: 25% Decrease.

Sarah smiles. She just got a quarter off the price.

Now John tries his salary raise:

  1. Original salary: 2,500
  2. New salary: 2,750
  3. Math behind it:
    • Difference = 2750 − 2500 = 250
    • Divide by original = 250 ÷ 2500 = 0.10
    • Multiply by 100 = 10%
  4. The result: 10% Increase.

John now proudly tells his friends, “I got a 10% raise!”

Real-Life Extras You’ll Love

  • Consecutive changes aren’t additive. If something rises 20% and then falls 20%, it doesn’t come back to where it started. It ends up lower. (100 → 120 → 96, which is actually a 4% decrease overall).
  • 100% increase means double. A $50 item with a 100% increase costs $100.

Percentage points are different. If interest goes from 3% to 5%, that’s 2 percentage points higher, but a 66.7% increase.

Frequently Asked Questions

No. Percentage increase compares to the original number, while percentage points measure direct difference between percentages.

No. You can’t divide by zero. If something grows from 0 to 100, you should describe it as a new gain, not a percentage change.

Yes. A 50% decrease always means you end up with half the original.

It means it tripled. (Original + 200% of original = 3× original).

Divide the sale price by (1 − discount%). Example: $80 after 20% off → 80 ÷ 0.8 = 100 original.

Yes. Going from −50 to −25 is actually a 50% decrease in loss.

For most uses, 1–2 decimal places are enough.

Find the difference, divide roughly by the original, and multiply by 100. Example: 40 → 50 is a 10 difference on 40 ≈ 25%.