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KySyth, when changing the size of something, you simply need a percentage to scale by...it does not matter whether you convert scale or gauge. Each scale has a certain gauge....whether you convert scale or gauge, the result is the same....you get a percentage to scale by.
Z is 6.5mm by the way, not 6.
This is a comprehensive explanation of all the different scales....though it may ed up confusing you even more, lol.
https://en.wikipedia.org/wiki/List_of_rail_transport_modelling_scale_standards