Quick answer: The golden ratio is 1.618. Multiply a length by 1.618 for the larger proportion, or divide by 1.618 for the smaller โ used for balanced layouts and typography.
Enter any measurement and get its golden-ratio partners (phi = 1.618) and the golden split of that value into a longer and shorter part.
The golden ratio — also called phi (φ), the divine proportion, or the golden mean — is the irrational number 1.6180339887… Two lengths are in the golden ratio when the ratio of the larger to the smaller equals the ratio of their sum to the larger. Designers, architects, and woodworkers use it to create proportions that feel naturally balanced.
This calculator gives you three things from any measurement you enter:
| Your value | × phi | ÷ phi | Split (long / short) |
|---|---|---|---|
| 10 | 16.18 | 6.18 | 6.18 / 3.82 |
| 16 | 25.89 | 9.89 | 9.89 / 6.11 |
| 24 | 38.83 | 14.83 | 14.83 / 9.17 |
| 36 | 58.25 | 22.25 | 22.25 / 13.75 |
| 100 | 161.80 | 61.80 | 61.80 / 38.20 |
Phi equals approximately 1.618. Its reciprocal is 0.618, and the two golden-split percentages are 61.8% and 38.2%.
Multiply the length by 0.618 to find the longer section; the remainder (the length times 0.382) is the shorter section. The two parts are in golden proportion.
Layout and typography, architecture, furniture and cabinet proportions, logo design, photography composition, and any place a naturally balanced split is wanted.
Yes. "Divine proportion," "golden mean," "golden section," and "golden cut" are all names for the same ratio, phi (1.618).
ฯ = 1.618. The longer figure is your measurement ร ฯ; the shorter is รท ฯ. The golden split divides your measurement into two parts in that ratio.
| Measurement | ร ฯ (longer) | รท ฯ (shorter) | Golden split |
|---|---|---|---|
| 8 | 12.94 | 4.94 | 4.94 + 3.06 |
| 10 | 16.18 | 6.18 | 6.18 + 3.82 |
| 12 | 19.42 | 7.42 | 7.42 + 4.58 |
| 16 | 25.89 | 9.89 | 9.89 + 6.11 |
| 24 | 38.83 | 14.83 | 14.83 + 9.17 |
| 32 | 51.78 | 19.78 | 19.78 + 12.22 |
| 36 | 58.25 | 22.25 | 22.25 + 13.75 |
| 48 | 77.67 | 29.67 | 29.67 + 18.33 |
| 60 | 97.08 | 37.08 | 37.08 + 22.92 |
| 72 | 116.50 | 44.50 | 44.50 + 27.50 |
| 96 | 155.33 | 59.33 | 59.33 + 36.67 |
| 100 | 161.80 | 61.80 | 61.80 + 38.20 |
Useful for picture placement, panel proportions, furniture height against width, and typographic scales. A 96 in wall splits at 59.33 in and 36.67 in.
Last reviewed August 2026 · how we source these figures