🌀 Golden Ratio Calculator

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.

Your measurement (any unit)

Unit label (optional)

Golden Ratio Results

× PHI (LONGER)

161.80

÷ PHI (SHORTER)

61.80

GOLDEN SPLIT — LONG

61.80

GOLDEN SPLIT — SHORT

38.20

The two golden-split parts add up to your value in the ratio 1 : 1.618.

What Is the Golden Ratio?

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:

× phi (longer): your value multiplied by 1.618 — the larger golden partner.
÷ phi (shorter): your value divided by 1.618 — the smaller golden partner.
Golden split: your value divided into a long part (61.8%) and a short part (38.2%) that together equal your value in golden proportion.

Woodworking exampleDesigning a drawer front 24 inches wide? The golden split puts a divider at 24 × 0.618 = 14.83 in from one end, leaving 9.17 in — a proportion that reads as balanced to the eye. The same trick sizes rails, shelves, and picture mats.

Common Golden Ratio Values

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

Frequently Asked Questions

What is the golden ratio number?

Phi equals approximately 1.618. Its reciprocal is 0.618, and the two golden-split percentages are 61.8% and 38.2%.

How do I divide a length by the golden ratio?

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.

What is the golden ratio used for?

Layout and typography, architecture, furniture and cabinet proportions, logo design, photography composition, and any place a naturally balanced split is wanted.

Is the golden ratio the same as the divine proportion?

Yes. "Divine proportion," "golden mean," "golden section," and "golden cut" are all names for the same ratio, phi (1.618).