# How do I convert newtons to kg?

Converts newtons (N) to kilograms (kg) and back, with the exact unit definitions.

- Page: https://www.acalculator.org/convert/newtons-to-kg
- JSON spec: https://www.acalculator.org/convert/newtons-to-kg.json
- Version: cf2e30516799

## Default answer

Example with the default inputs (Newtons (N) 1): 1 N is the weight of 0.101972 kg at standard gravity.

## Inputs

| Key | Label | Description |
| --- | --- | --- |
| value | Newtons (N) | The amount in newtons to convert. |
| result | Kilograms (kg) | The same amount in kilograms. |

## Outputs

| Key | Label | Description |
| --- | --- | --- |
| value | Newtons (N) | The amount in newtons to convert. |
| result | Kilograms (kg) | The amount in kilograms. |

## Method

kg = N × 0.101971621298 (the same as N ÷ 9.80665)

## Assumptions

- Kilograms here are the mass that weighs this force under standard gravity, 9.80665 m/s² exactly (NIST SP 811): kg = N ÷ 9.80665, the size of a kilogram-force (kgf).
- Exact on the typed decimals: at most 6 decimal places (6 significant digits below 0.0001), rounded half up; an answer of 1 billion or more shows at most 15 significant digits.

## Worked examples

1. value = 1 gives result = 0.101972. Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8.
2. value = 9.80665 gives result = 1. Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8.
3. result = 1 gives value = 9.80665. Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8.

## FAQ

### Can you convert newtons to kg?

Only through gravity: a newton is a force and a kilogram is a mass. A mass m weighs F = m × g, so m = F ÷ g. With standard gravity, 9.80665 m/s² exactly (NIST SP 811), 1 N is the weight of 0.101972 kg.

### How do I convert newtons to kg?

Divide by 9.80665: kg = N × 0.101971621298 (the same as N ÷ 9.80665). For example, 100 N ÷ 9.80665 = 10.197162 kg.

### How many newtons is 1 kg?

9.80665 N, the weight of 1 kg at standard gravity. NIST SP 811 calls this force a kilogram-force (kgf): 1 kgf = 9.80665 N exactly.

### What if I use g = 9.8 or 9.81?

The mass changes a little: 100 N ÷ 9.81 = 10.19368 kg and 100 N ÷ 9.8 = 10.204082 kg, against 10.197162 kg with standard gravity. This converter uses 9.80665 m/s², the standard value in NIST SP 811.

### How do I convert kg back to newtons?

Multiply by 9.80665, or type the kilograms into the second box and the converter works it out. 10 kg weighs 98.0665 N at standard gravity.

## Sources

- NIST SP 811 (2008), Guide for the Use of the International System of Units, Appendix B.8: Factors for Units Listed Alphabetically (bold factors are exact), retrieved 2026-10-18. https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b8