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Percentage Change Calculator

Compute % change, % increase, % decrease, and % difference between two values - with the formula plugged in.

MATH

Free percentage change calculator that computes % change, % increase, % decrease, and % difference between any two values. Shows the worked formula with your numbers substituted and displays all four methods side by side.

Enter an original value (V1) and a new value (V2), then pick a method. The calculator returns the percent result, the absolute difference, and the direction (rose, fell, or unchanged). It also shows all 4 methods at once so you can compare them. Worked example with V1=80, V2=100: % change = (100 − 80) ÷ 80 × 100 = +25%; % increase = 25% (since 100 > 80); % decrease = N/A (does not apply when V2 > V1); % difference = |100 − 80| ÷ ((80 + 100) ÷ 2) × 100 = 20 ÷ 90 × 100 ≈ 22.22%. Use % change for time-series data with a clear baseline, and % difference for unordered comparisons where neither value is a reference.

Disclaimer: Educational math utility.

Percentage Change Calculator

Compute % change, % increase, % decrease, and % difference between any two values. Shows the worked formula with your numbers plugged in, plus all four methods side by side.

Original Value (V1)

New Value (V2)

Method

Quick Examples:

Result

25.00%

Absolute Difference (V2 - V1)20

Directionrose

Worked Formula
(100 − 80) ÷ 80 × 100 = 25.00%

All Four Methods

% Change

25.00%

% Increase

25.00%

% Decrease

N/A

% Difference

22.22%

Percentage Change vs Percentage Difference

Percentage change is a relative, directional measure: it compares a new value to an original baseline, so the denominator is V1 only. Percentage difference is symmetric and unsigned: the denominator is the average of V1 and V2, so swapping the two values gives the same answer. Change tells you "how much bigger or smaller did it get"; difference tells you "how far apart are they, treating neither as the baseline".

Use percentage change for time-series data where one value comes before the other - stock prices, salary raises, population growth, weight loss. Use percentage difference when the two values are unordered and you just want to express their gap, such as comparing two lab measurements, two products, or two regions. Percentage increase and percentage decrease are just the signed versions of percentage change: increase is only meaningful when V2 > V1, decrease when V2 < V1.

Two pitfalls catch most people. First, a 50% rise followed by a 50% fall does not return you to the start: 100 → 150 → 75. Second, the denominator matters. Going from 80 to 100 is a 25% increase, but going from 100 to 80 is a 20% decrease - same absolute gap, different percentages, because the baseline changed. Always be clear which value is V1.

Educational math utility.

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Frequently Asked Questions

What is the formula for percentage change?

% change = (V2 − V1) ÷ V1 × 100. V1 is the original value and V2 is the new value. The result is positive if the value rose, negative if it fell. Example: from 80 to 100, % change = (100 − 80) ÷ 80 × 100 = +25%.

Is percentage change the same as percentage difference?

No. Percentage change uses V1 as the denominator and is directional (positive or negative). Percentage difference uses the average of V1 and V2 as the denominator and is symmetric and unsigned - swapping the two values gives the same answer. For 80 and 100, change is 25% but difference is about 22.22%.

Why does a 50% loss require a 100% gain to recover?

Percentages compound against the current value, not the starting value. If $100 drops 50% you have $50. To get back to $100 you need to gain $50 on a base of $50, which is a 100% gain. The denominator changed when the value changed, so symmetric-looking percentages do not cancel out.

When should I use percentage increase vs percentage change?

They use the same formula when V2 > V1. % increase is just the signed version of % change restricted to upward moves; % decrease is the same for downward moves. Use % change when you do not know in advance which direction the value moved, and use % increase or % decrease when you want to emphasize the direction in plain language.

Can percentage change exceed 100%?

Yes. If a value more than doubles, percentage change exceeds 100%. From 50 to 150 is a 200% change. Percentage decrease, however, cannot exceed 100% - a value can lose at most all of itself.

Percentage Change Calculator

Percentage Change Calculator

All Four Methods

Percentage Change vs Percentage Difference

Frequently Asked Questions

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Percentage Change vs Percentage Difference