How do I calculate percentage change?

Subtract the original value from the new value to get the absolute change. Divide that change by the original value, then multiply by 100.

How do I calculate percentage change between two numbers?

Identify which number is the starting point (original value) and which is the ending point (new value). Subtract the original from the new, divide by original, and multiply by 100.

What is the percentage change from 100 to 150?

150 minus 100 equals 50. Dividing 50 by 100 gives 0.50, which multiplied by 100 is a +50% change (a 50% increase).

What is the percentage change from 100 to 75?

75 minus 100 equals -25. Dividing -25 by 100 gives -0.25, which multiplied by 100 is a -25% change (a 25% decrease).

Can percentage change be negative?

Yes! A negative percentage change indicates a decrease or decline from the original value to the new value.

What does a negative percentage change mean?

A negative percentage change means the new value is smaller than the original starting value (for example, a price reduction or metric decline).

Can percentage change be greater than 100%?

Yes. When the new value is more than double the original value (for example, from 50 to 150), the percentage change is +200%.

What happens if the original value is zero?

When the original value is zero, calculating percentage change requires dividing by zero, which is mathematically undefined.

What is the difference between percentage change and percentage difference?

Percentage change compares a new value to a specific original baseline and is directional. Percentage difference compares two values symmetrically using their average as the denominator.

What is the difference between percentage change and percentage increase?

Percentage change covers both positive and negative directions (increases and decreases), whereas percentage increase refers strictly to positive growth.

Percentage CalculatorsClient-Side Calculation Engine

Percentage Change Calculator

Calculate directional percentage change from original to new value.

Original Value

Starting baseline figure.

New Value

Updated ending figure.

Percentage Change Result

25% increase

+25%

The value changed from 100 to 125, representing a 25% increase.

Absolute Change+25

Directionincrease

Relative Transition

Original (100)

New (125)

Formula:Percentage Change = ((New Value − Original Value) ÷ Original Value) × 100

Calculation Formula

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

Measures directional change from a baseline original value to an updated new value.

Where:

Original Value= The baseline starting figure

New Value= The updated ending figure

Absolute Change= New Value − Original Value

Step-by-Step Explanation

1Step 1 — Find the change (New Value − Original Value)

125 − 100 = 25

Subtract the original baseline value from the updated new value.

2Step 2 — Divide by original value

25 ÷ 100 = 0.25

Relative change comparing difference to starting baseline.

3Step 3 — Convert to percentage

0.25 × 100 = 25%

Multiply ratio by 100 to state as a percentage.

Worked Calculation Examples

Positive Growth

Input:Original: 100, New: 125

Output:+25% (25% increase)

Difference of 25 divided by original 100 equals 0.25, or 25% growth.

Value Decline

Input:Original: 100, New: 75

Output:-25% (25% decrease)

Difference of -25 divided by original 100 equals -0.25, or 25% decrease.

Doubling Value

Input:Original: 50, New: 100

Output:+100% (100% increase)

Difference of 50 divided by original 50 equals 1.0, or 100% growth.

How to Use the Percentage Change Calculator

1Enter your starting baseline number into the Original Value field.
2Enter your updated ending number into the New Value field.
3Instantly view the percentage change, direction (increase/decrease/no change), and absolute difference.
4Review the step-by-step mathematical breakdown and formula explanation.

Pro Tips & Suggestions

•If the new value is greater than the original value, the percentage change is positive (an increase).
•If the new value is less than the original value, the percentage change is negative (a decrease).
•Percentage change requires a non-zero starting original value; if original value is zero, percentage change is mathematically undefined.

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Frequently Asked Questions

Understanding Percentage Change Calculations

What is Percentage Change?

Percentage change represents the relative difference between an original starting value and a new updated value, expressed as a percentage of the original value. Because it is directional, percentage change indicates whether a quantity has expanded (positive change/increase) or contracted (negative change/decrease).

How to Calculate Percentage Change

To calculate percentage change manually between two values, perform three simple arithmetic steps:

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

For example, if sales change from 100 to 125: First, subtract original from new (125 − 100 = 25). Second, divide by original (25 ÷ 100 = 0.25). Third, multiply by 100 to get +25% (a 25% increase).

Percentage Change Formula

Percentage Change = ((V_new − V_original) ÷ V_original) × 100

Where V_original is the baseline reference figure and V_new is the updated figure. The numerator (V_new − V_original) captures both the size and direction of change.

Percentage Change vs. Percentage Increase

Percentage change is a broader concept that encompasses both positive growth (increase) and negative decline (decrease). Percentage increase specifically refers only to positive changes where the new value is larger than the original value.

Percentage Change vs. Percentage Difference

The fundamental difference lies in the reference baseline. Percentage change uses the original starting value as its reference denominator and is directional. Percentage difference compares two numbers symmetrically using their average as the denominator when neither value is the designated starting point.

Percentage Change vs. General Percentage Calculator

While a general percentage calculator handles various common tasks (like finding 15% of a total or finding what percent X is of Y), this dedicated Percentage Change Calculator specifically tracks directional transitions from an old number to a new number.

Percentage Change Reference Table

Original	New	Abs Change	% Change	Direction
100	125	+25	+25%	Increase
100	75	-25	-25%	Decrease
200	200	0	0%	No Change

Real-World Applications

Financial Performance & RevenueTracking quarterly revenue changes, stock price movement, or portfolio returns over time.

E-commerce & AnalyticsEvaluating monthly website traffic growth, conversion rate changes, or cart abandonment rates.

Retail Pricing & SalesMeasuring discount percentages, markups, inflation impact, or year-over-year price shifts.

Personal Health & FitnessTracking body weight shifts, running pace improvements, or workout strength progression.

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