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Percent Change Calculator

Free percent change calculator. Enter an old and new value to instantly get the percentage increase or decrease, the exact difference, and the full step-by-step formula. No sign-up.

Values
Formula: (new - old) / old x 100. A positive result is an increase, a negative result is a decrease.
Result

About Percent Change Calculator

"It went up 12%" - but by how much, exactly, and relative to what? Percent change answers the most common quantitative question in daily life: comparing a value against its earlier self. Prices, salaries, populations, grades, returns, engagement - every domain measures movement this way, and the arithmetic is exactly one formula: (new - old) / old x 100.

Percent Change Calculator applies it instantly and transparently. Enter the old value and the new value; get the percentage change with sign, the exact absolute difference, and the full formula shown step by step so the answer is never a black box. Increases and decreases are both handled, negatives are explained, and the precision is yours to set.

Features

  • Instant result: Type both values and the change appears immediately.
  • Increase or decrease: The direction is explicit in the output.
  • Exact difference: The absolute change alongside the percentage.
  • Step-by-step formula: The calculation shown so it can be verified.
  • Adjustable precision: Up to 10 decimal places.
  • Negative values explained: Sign conventions stay interpretable.
  • Copy or download: Results ready for reports and notes.
  • Free and private: Everything runs in your browser; nothing is uploaded.

How to Use

  1. Enter the old value - the starting point of the comparison.
  2. Enter the new value - the current or later value.
  3. Choose the precision for the percentage (0-10 decimal places).
  4. Read the result: the percentage change with its direction, and the exact absolute difference.
  5. Verify the formula in the step-by-step breakdown.
  6. Copy or download the result for your report or document.

Examples

Example 1 - Price increase. Old 100, new 125: a 25% increase, a difference of 25. The step-by-step shows (125 - 100) / 100 x 100.

Example 2 - Discount. Old 80, new 60: a 25% decrease - the discount you actually got on the original price.

Example 3 - Revenue growth. Old 12,500, new 15,000: exactly 20% growth, with the difference of 2,500 shown in full.

Example 4 - Small but real. Old 1.09, new 1.10: a 0.9174% increase. With 4 decimal places the tool reports the true tiny movement a rounded answer would hide.

Example 5 - Reversal check. Old 100, new 50 (-50%), then old 50, new 100 (+100%): the tool makes the asymmetry of the two directions obvious - the base matters.

Benefits

  • The exact answer: Percentage and difference, both precise.
  • No black boxes: The formula is shown, not hidden.
  • Any domain: Finance, business, academics, health, data.
  • Honest signs: Increases, decreases and negatives stay interpretable.
  • Instant and live: No button presses, no waiting.
  • Free and private: Runs entirely in the browser with nothing uploaded.

Frequently Asked Questions

What is percent change?
Percent change measures how much a value moved from an original to a new value, expressed as a percentage of the original. The formula is (new - old) / old x 100. A positive result is an increase, a negative result is a decrease, and zero means no change.
What is the difference between percent change and percent difference?
Percent change uses the old value as the base and describes movement over time - prices, populations, test scores. Percent difference compares two values symmetrically against their average. If you are asking "how much did it change?", percent change is the right tool.
Can the tool handle negative numbers?
Yes, with honest mathematics: the result shows whether the quantity increased or decreased in absolute terms, and the sign conventions of the formula are explained in the output so the answer stays interpretable.
Why is a decrease from 100 to 50 not -100%?
Because the base for a decrease is the old value, 100: the drop of 50 is 50% of the original. Percent changes are relative to the starting point, which is why "up 50%, then down 50%" never returns to the start.
What use cases does this cover?
Finance (price moves, returns, discounts), business (revenue growth, margins), academics (grade changes, enrollment), health (weight, metrics) and data analysis (rates over time). Anywhere something is compared against its earlier value.
What precision does the tool provide?
The percentage is shown to as many decimal places as you choose, up to 10. The exact difference is always reported too, so nothing is hidden behind rounding.