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Percentage Change

General

Percentage Change

A measure of how much a value has increased or decreased relative to its original value, expressed as a percentage, distinct from a raw difference or percentage points.

Definition

Percentage change measures how much a value has increased or decreased relative to where it started, expressed as a percentage rather than a raw number. The key word is relative, it tells you the size of the change in proportion to the original value, not just the absolute difference between two numbers.

This distinction matters because the same raw difference can represent very different real-world significance depending on the starting point. A $50 increase means much more on a $100 base than on a $10,000 base, percentage change captures that context directly. The Percentage Change Calculator computes this instantly from any two values.

Formula

Percentage Change = ((New Value โˆ’ Original Value) / Original Value) ร— 100

Worked Example

A stock price moves from $80 to $92.

  • Difference: $92 โˆ’ $80 = $12
  • Percentage change: ($12 / $80) ร— 100 = 15%

Compare that to the same $12 increase on a $20 stock, which would represent a 60% change, a dramatically different story despite the identical raw dollar move.

Key Things to Know

  • Always divide by the original value, not the new one. Using the new value as the denominator by mistake produces a different, incorrect percentage, this is one of the most common calculation errors.
  • Negative results indicate a decrease. A percentage change of โˆ’25% means the value dropped by a quarter of its original amount, not a typo or error in the calculation.
  • Not the same as percentage points, despite the similar name. Percentage change is relative, percentage points measure a raw gap between two percentages, mixing them up produces misleading comparisons.
  • The same raw change means different things at different starting values. Context matters, always check what the original baseline was before interpreting a percentage change figure.
  • Compounding multiple percentage changes doesn't simply add. A 10% increase followed by a 10% decrease doesn't return you to the original value, it lands below it, since each percentage applies to a different base value.

Frequently Asked Questions

Why does percentage change matter more than a raw difference?
Because it puts the change in context. A $10 price increase means very different things on a $20 item versus a $2,000 item, percentage change captures that relative scale, while a raw dollar difference doesn't.
Can percentage change be negative?
Yes, a decrease produces a negative percentage change, a value dropping from 100 to 80 represents a โˆ’20% change, the negative sign indicating a decrease rather than an increase.
Is percentage change the same as percentage points?
No, and confusing the two is a common mistake. [Percentage points](/glossary/percentage-points/) measure the raw difference between two percentages, while percentage change measures the relative change between two values, they answer different questions.
Why can a small percentage change look large in absolute terms, or vice versa?
Because percentage change is relative to the starting value. A 5% change on a $1,000,000 base is $50,000, a large absolute number from a modest-looking percentage, while a 50% change on $10 is just $5.
Does the order of values matter when calculating percentage change?
Yes, always use the original (starting) value as the denominator, not the new value. Reversing this produces a different, incorrect result, especially noticeable with large swings.