First, strictly speaking, kilograms are mass, Newtons are weight (or even more accurately – force. Weight is just one specific kind of force). However, in everyday speech, people use “weight” for both because it’s a similar thing.
Second, many measuring devices don’t measure directly.
Depending on the type of scale, it actually measures the displacement of springs, or current that flows through the circuit (that depends on the load). That measurement is then translated to your mass.
That’s similar to how, with a mercury thermometer, you don’t measure temperature. You measure the length of the mercury line. But whoever made the thermometer knows which length corresponds to which temperature, so the temperature scale is calibrated accordingly.
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