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Percentage Calculator & Difference Finder

Calculate percentage increase, percentage decrease, percentage difference, and "what is X% of Y" with step-by-step math.

Select Calculation Mode

1. What is X% of Y?

2. Percentage Increase or Decrease from Value A to B

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How to Use the Percentage Calculator & Difference Finder

1
To find a percentage of a number, enter the percentage and the total value in section 1 and click Calculate.
2
To find percentage change, enter the starting value (A) and ending value (B) in section 2.
3
The calculator indicates whether the result represents a percentage increase or decrease.

Formula & Underlying Logic

The Mathematics of Percentages

The term percent originates from the Latin per centum, meaning "by the hundred."

Formula 1: Value = (Percentage ÷ 100) × Total
Formula 2: Percentage Change = [ (Final Value - Initial Value) ÷ |Initial Value| ] × 100

A common error in financial reports is confusing percentage increase with percentage points. For example, if interest rates increase from 4% to 5%, that represents a 1 percentage point increase, but a 25% relative increase in the cost of borrowing.

Worked Step-by-Step Example

Example Scenario: Measuring Sales Growth

Suppose a company achieved $80,000 in revenue last quarter (Value A) and $100,000 this quarter (Value B):

Step 1: Calculate absolute difference → 100,000 - 80,000 = +20,000.

Step 2: Divide by initial value → 20,000 ÷ 80,000 = 0.25.

Step 3: Multiply by 100 → +25.00% Increase.

Frequently Asked Questions

Percentage change specifies a chronological direction (from starting value A to final value B). Percentage difference compares two numbers when there is no implied before/after relationship by dividing the difference by their average.
Yes. If a stock triples in price from $10 to $30, the percentage increase is +200%.

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