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Percentage Change Calculator

Calculate the percentage increase or decrease between two values.

Math & NumbersUpdated 2026-03-25

The Percentage Change Calculator finds the exact percentage increase or decrease between two values. Whether you're analyzing a price change, comparing this year's revenue to last year, tracking weight loss progress, or calculating a salary raise percentage, the formula is the same: divide the change by the original value and multiply by 100. This calculator also handles the reverse — enter a starting value and a desired percentage change to find the new value. Understanding percentage change is one of the most practical math skills for finance, business, and daily life.

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Percentage Change Calculator

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Formula

Percentage Change = ((New − Old) / |Old|) × 100

Examples

Price Increase: $80 to $100

A product's price increased from $80 to $100. What is the percentage increase?

25% increase

Revenue Growth: $1.2M to $1.8M

Annual revenue grew from $1.2M to $1.8M. What is the year-over-year growth rate?

50% increase

Salary Negotiation: $65,000 to $74,750

A salary increase from $65,000 to $74,750. What percentage raise is this?

15% increase

Price Drop in Market Downturn

Asset value dropped from $250,000 to $187,500. What is the percentage decrease?

25% decrease

Tips

  • A 50% increase followed by a 50% decrease does NOT return to the original value — it ends 25% lower.
  • To reverse a percentage change, divide by the factor (e.g., divide by 1.20 to reverse a 20% increase).
  • For multi-year growth, use CAGR rather than simple percentage change to account for compounding.
  • When reporting changes, always specify the reference period — "25% increase vs last quarter" vs "vs last year" can look very different.

Frequently Asked Questions

What is the formula for percentage change?

Percentage Change = ((New Value − Old Value) / |Old Value|) × 100. A positive result means an increase; negative means a decrease.

What is the difference between percentage change and percentage difference?

Percentage change measures change from an original value (directional — has a "before" and "after"). Percentage difference is symmetric and measures difference relative to the average of two values, used when neither value is a reference point.

Does a 50% decrease followed by a 50% increase return to the original value?

No. Starting at 100: after 50% decrease = 50. Then 50% increase of 50 = 75. You end up at 75, not 100. Percentage changes are multiplicative, not additive.

How do I reverse a percentage increase?

To find the original value before a percentage increase, divide by (1 + rate). Example: After a 25% increase, the value is $125. Original = $125 / 1.25 = $100. Do NOT subtract 25% from $125 — that gives $93.75 (wrong).

What is a year-over-year (YoY) percentage change?

Year-over-year change compares a metric (revenue, sales, traffic) to the same metric 12 months prior. Formula: (Current Year − Prior Year) / Prior Year × 100. It removes seasonal fluctuations by comparing equivalent periods.

What is CAGR (Compound Annual Growth Rate)?

CAGR measures the steady annual growth rate over multiple years: CAGR = (End Value / Start Value)^(1/Years) − 1. Unlike simple percentage change, CAGR accounts for compounding and is a more meaningful measure of long-term growth.

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