Golden Ratio Calculator
Divide the whole by 1.618034 to get the longer piece; what is left is the shorter one. Cut this way and the whole is to the long part as the long part is to the short — so the same ratio repeats however often you cut again.
Your numbers
Longer part
61.803cm
Shorter part
38.197cm
Difference
23.607cm
Formula
Longer part = Total length ÷ 1.618034
Handy for margins, shelf heights or splitting a layout when you need a defensible place to break.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Total length (cm)The whole length before it is divided. | 100 | 0 and up |
Step by step
Quick reference table
Results when only Total length (cm) changes and everything else stays put.
| Total length (cm) | Longer part (cm) | Shorter part (cm) | Difference (cm) |
|---|---|---|---|
| 50 | 30.902 | 19.098 | 11.803 |
| 75 | 46.353 | 28.647 | 17.705 |
| 100 | 61.803 | 38.197 | 23.607 |
| 150 | 92.705 | 57.295 | 35.41 |
| 200 | 123.607 | 76.393 | 47.214 |
What each result means
| Result | At default values |
|---|---|
| Longer part (cm)The longer piece when cut at the golden ratio. | 61.803 |
| Shorter part (cm)The shorter piece; it sits in the same ratio to the longer one. | 38.197 |
| Difference (cm)The gap between two values — a quantity, not a rate. | 23.607 |
Common mistakes
Handy for margins, shelf heights or splitting a layout when you need a defensible place to break.
Glossary
- Total length
- The whole length before it is divided.
- Longer part
- The longer piece when cut at the golden ratio.
- Shorter part
- The shorter piece; it sits in the same ratio to the longer one.
- Difference
- The gap between two values — a quantity, not a rate.
Frequently asked questions
Q. How is Golden Ratio Calculator calculated?
Longer part = Total length ÷ 1.618034 — Divide the whole by 1.618034 to get the longer piece; what is left is the shorter one. Cut this way and the whole is to the long part as the long part is to the short — so the same ratio repeats however often you cut again.
Q. Can you walk through an example?
With Total length 100cm, the answer is Longer part 61.803cm.
Q. What do I need to enter?
Enter Total length. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Total length (cm) moves the answer to Total length (cm) 50 → Longer part (cm) 30.902 and Total length (cm) 200 → Longer part (cm) 123.607. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Handy for margins, shelf heights or splitting a layout when you need a defensible place to break.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.