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Math Calculators

Scale Factor Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Scale factor

1.5000

As a percentage
150.00%

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Scale Factor Calculator

The Scale Factor Calculator works out your scale factor, along with 1 related figure in an instant. Enter new (scaled) size and original size and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the new (scaled) size.
  2. Enter the original size.
  3. Read off your scale factor, together with as a percentage — the calculator updates automatically, with no button to press.

Formula

The Scale Factor Calculator uses the formula:

Scale factor = New (scaled) size ÷ Original size

Worked example

For example, with new (scaled) size of 15 and original size of 10, the scale factor is 1.5000.

Inputs used
New (scaled) size 15
Original size 10
Results
Scale factor 1.5000
As a percentage 150.00%

Results are estimates for educational use, not professional advice.

Key terms explained

Percentage
A number expressed as a fraction of 100, written with the % sign.

Frequently asked questions

It is the ratio of a new size to the original. Going from 10 to 15 is a scale factor of 1.5, or 150%.

Multiply every length by the scale factor. A factor above 1 enlarges; below 1 shrinks.

Area scales with the square of the factor, so a factor of 1.5 multiplies area by 2.25.

Volume scales with the cube of the factor, so 1.5 multiplies volume by about 3.375.

The Scale Factor Calculator uses the formula: Scale factor = New (scaled) size ÷ Original size. For example, with new (scaled) size of 15 and original size of 10, the scale factor is 1.5000.

Enter the new (scaled) size. Enter the original size. Read off your scale factor, together with as a percentage — the calculator updates automatically, with no button to press.

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