The integer `1` can mean whatever you want, it doesn't need to be a cent. Haskell's `Fixed` type is a good example of this:

https://hackage-content.haskell.org/package/base-4.22.0.0/do...

Its a wrapper around an `Integer` where you declare the scale in the type. So if you use `Fixed E2` as your type then `MkFixed 1` is 1 cent. If you did `Fixed E3` as your type then `MkFixed 1` is 0.1 cent. In both cases it is entirely an integer encoding.