Property taxes are usually set as a fixed amount to be collected, and the tax % is back calculated. In practice, this means that the only thing that matters is the value of a property relative to the rest of the city.
Does the US use the same rates for all property types? At least in Canada (and in Sim City 2000…), the tax % is different for residential, commercial, industrial and often subcategorized further.
That may be what “usually” happens but in california, which is a major commercial real estate market, we have this thing called proposition 13 which screws up everything.