KG to LBS Formula Explained
Where 2.2046226218 comes from, why it is exact rather than measured, and how much the double-then-add-10-percent shortcut costs you.
Conversions completed
Where 2.20462 comes from
The 1959 international yard and pound agreement fixed the avoirdupois pound at exactly 0.45359237 kilograms. That is a definition, not a measurement, so it has no error. The kilogram-to-pound factor is just its reciprocal: 1 / 0.45359237 = 2.20462262184878.
The two formulas
| Direction | Formula | Example |
|---|---|---|
| kg to lb | lb = kg x 2.2046226218 | 70 kg = 154.3236 lb |
| lb to kg | kg = lb x 0.45359237 | 154 lb = 69.8532 kg |
Mental math: double it, then add 10 percent
Doubling a kilogram value and adding ten percent gives kg x 2.2, which is 0.21 percent below the exact 2.20462. That is about 0.3 lb on a 70 kg person, or four ounces - fine for a rough check, not for a luggage limit.
| Kilograms | Quick method (x 2.2) | Exact (x 2.20462) | Difference |
|---|---|---|---|
| 10 kg | 22.0 lb | 22.0462 lb | 0.046 lb (0.7 oz) |
| 50 kg | 110.0 lb | 110.2311 lb | 0.231 lb (3.7 oz) |
| 70 kg | 154.0 lb | 154.3236 lb | 0.324 lb (5.2 oz) |
| 100 kg | 220.0 lb | 220.4623 lb | 0.462 lb (7.4 oz) |
Common mistakes
- Multiplying by 0.4536 to go from kg to lb. That is the reverse factor; the answer comes out about 4.8 times too small.
- Rounding 2.20462 to 2.2 in a spreadsheet, then multiplying again in another cell. The error compounds.
- Confusing the avoirdupois pound with the troy pound. Troy weight (373.24 g) is only used for precious metals and is 21 percent heavier per unit.
Related pages
Frequently Asked Questions
Why is 1 kg equal to 2.2046226218 lb?
Because 1 lb is defined as exactly 0.45359237 kg since 1959, and 1 / 0.45359237 = 2.2046226218.
How accurate is doubling and adding 10 percent?
It gives kg x 2.2, which is 0.21 percent low - about 0.32 lb or 5 oz on a 70 kg person.
What is the reverse formula?
kg = lb x 0.45359237. Multiplying pounds by 2.20462 by mistake gives a value 4.86 times too large.