A worked example: 1 kilogram-force to newtons
1 kilogram-force (kgf) converts to exactly 9.80665 newtons — the force a 1 kg mass experiences under standard gravity.
The formula: convert through newtons as a common base
Every force unit is defined by a fixed factor relative to newtons; converting multiplies by the source unit's factor and divides by the target's. 10 kgf converts to 98.0665 newtons — exactly 10 times the 1 kgf figure, since kgf-to-newton conversion is a straight multiplication by the same 9.80665 constant.
Converting between very different scales: newtons to lbf and dynes
1,000 newtons converts to 224.808943 pound-force (lbf) — a modest-looking number despite the large starting value, since a pound-force is a comparatively large unit. Going the other direction toward a much smaller unit, 50 newtons converts to 5,000,000 dynes, showing just how much smaller the CGS dyne unit is compared to the newton.
Why kilogram-force isn't really a base force unit
Kilogram-force is defined as the force gravity exerts on a 1 kg mass at standard gravity — it borrows its definition from a mass unit and the same 9.80665 m/s² gravitational constant used for g-force in acceleration, rather than being an independently defined force unit the way the newton is.