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    Percentage Difference Calculator

    Calculate percentage difference between two numbers

    Percentage Difference Calculator

    What is percentage difference between
    and

    What is Percentage Difference and How to Calculate It

    How to Use the Percentage Difference Calculator

    The percentage difference calculator quickly determines how much percent one number is greater or less than another. This tool is perfect for comparing metrics, analyzing price changes, investment returns, or academic calculations.

    Percentage Difference Formula

    The calculator uses the following formula to determine percentage difference:

    • When first number is greater: ((First number / Second number) × 100) - 100
    • When first number is smaller: 100 - ((First number / Second number) × 100)

    Note: this tool measures the directional difference relative to the second number, which is the base of the percentage. Because the second number is the reference point, the result depends on the order of the two numbers and is not the same as the symmetric, average-based percentage difference — |a − b| ÷ ((a + b) ÷ 2) × 100 — used by some sources.

    How to Calculate Percent Difference — Step by Step

    Here is a worked example of how to calculate percent difference between 30 and 20:

    1. Divide the first number by the second: 30 ÷ 20 = 1.5
    2. Multiply the result by 100: 1.5 × 100 = 150
    3. Subtract 100: 150 − 100 = 50% — so 30 is 50% greater than 20

    In the opposite direction the difference is not symmetric: 20 ÷ 30 × 100 ≈ 66.67, and 100 − 66.67 = 33.33% — so 20 is 33.33% less than 30.

    Common Use Cases for Percentage Difference

    • Price Comparison: How much percent the new price differs from the old one
    • Sales Analysis: Difference in sales performance between periods
    • Growth Assessment: Percentage change in revenue, profit, or other metrics
    • Academic Research: Comparing experimental results or study data
    • Sports & Fitness: Analyzing performance metric changes

    When to Use Percentage Difference Calculator

    This tool is essential when you need to:

    • Compare two numerical values in percentage terms
    • Determine relative change between measurements
    • Analyze effectiveness of implemented changes
    • Generate reports with percentage comparisons

    Popular Percentage Difference Examples

    Explore ready-made percentage difference calculations:

    See Also

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    FAQ

    How is the percentage difference between two numbers calculated?

    The second number is the base. Divide the first by the second, multiply by 100 and compare the result with 100: (140 ÷ 160) × 100 = 87.5, so 140 is 12.5% less than 160.

    Why does the answer change when the two numbers are swapped?

    Because the base changes with them. 140 is 12.5% less than 160, while 160 is 14.29% more than 140 — the gap of 20 is the same, but it is measured once against 160 and once against 140.

    Which percentage difference formula does this calculator use?

    The everyday one: how many percent the first number is above or below the second, with the second taken as 100%. In statistics the same term sometimes means the gap divided by the average of the two numbers, (160 − 140) ÷ 150, which for this pair gives 13.33% instead.