How do I calculate percent increase?

Use (new minus original) divided by original, then multiply by 100%. Positive is increase; negative is decrease.

Can I solve for the new or original value?

Yes. New equals original multiplied by one plus percent divided by 100. Original equals new divided by one plus percent divided by 100. Enter any two values and the calculator finds the third.

What if the original value is zero?

Percent change relative to zero is undefined because it would require division by zero.

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Percentage Increase Calculator

Q: Why does the calculator show a table?

The table shows original amount, new amount, amount of increase, increase divided by original, and final percent increase so the calculation is easy to verify.

Compute % increase from original and new values, or solve for the missing value (new/original/percent). Results now include a clear summary table, steps, mini chart, and percent gauge.

Background

By definition, percent change = (new − original) / original × 100%. A positive result indicates an increase; a negative result indicates a decrease.

Enter known values

Values

Fill any two: we’ll compute the third. You can type commas, decimals, or a percent sign, such as 1,200 or 25%.

Options:

Round to sensible significant figures

Step-by-step working

Mini chart: original vs new

Percent change gauge

Quick picks:

Chips prefill fields and run the calculation.

Result:

No results yet. Enter inputs and click Calculate.

How this calculator works

Amount of increase: new − original
Percent increase: (new − original) / original × 100%
Solve new: new = original × (1 + %/100)
Solve original: original = new / (1 + %/100)
Works for increases and decreases. Use a negative percent for decreases.

Formula & Equations Used

Amount of increase: increase = new − original

Percent increase: % = ((new − original) / original) × 100%

Forward: new = original × (1 + %/100)

Inverse: original = new / (1 + %/100)

Example Problems & Step-by-Step Solutions

Example 1 — 80 → 100

Amount of increase = 100 − 80 = 20. Percent increase = 20 / 80 × 100% = 25%.

Example 2 — 49 → 63

Amount of increase = 63 − 49 = 14. Percent increase = 14 / 49 × 100% ≈ 28.57%.

Example 3 — Original 120, +15%

new = 120 × (1 + 0.15) = 120 × 1.15 = 138.

Example 4 — New 210, +40%

original = 210 / (1 + 0.40) = 210 / 1.40 = 150.

Frequently Asked Questions

Q: Does this handle decreases?

Yes. Enter a negative percent, or enter a new value lower than the original value.

Q: What if original is zero?

Percent change relative to zero is undefined because it requires division by zero.

Q: Why show a table?

The table makes the calculation transparent: original amount, new amount, amount of increase, increase divided by original, and final percent increase.

Q: How does rounding work?

Enable “Round to sensible significant figures” to report cleaner values.

Q: Why did nothing show up after I clicked Calculate?

Make sure exactly two useful values are entered. If a value is missing, zero, or formatted in a way the calculator cannot read, the result area now shows a clear correction message.