Golden Ratio Calculator
Enter any length as the whole, the longer segment or the shorter segment, and get the golden-ratio proportions. Useful for layout, typography and design grids.
How to use the golden ratio calculator
- Choose which value you know: the whole, the longer part or the shorter part.
- Enter that value.
- Read the two matching golden-ratio segments.
- Use the proportions to size layouts, images or type.
Examples
Split a 100px width
whole = 100
longer 61.8, shorter 38.2
Frequently asked questions
What is the golden ratio?
The golden ratio, written as phi, is approximately 1.618. Two lengths are in the golden ratio when the whole divided by the longer part equals the longer part divided by the shorter part.
How do I split a length by the golden ratio?
Divide the whole by phi (about 1.618) to get the longer segment. The shorter segment is what remains, the whole minus the longer part.
Why is the golden ratio used in design?
Proportions based on phi are widely felt to look balanced and natural, so designers use them for layouts, image crops, spacing and type scales.
Is phi the same as the Fibonacci sequence?
They are closely linked. The ratio of consecutive Fibonacci numbers gets closer and closer to phi as the numbers grow larger.
Is anything uploaded?
No. All calculations run in your browser and nothing is sent anywhere.
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