The above will work assuming that the
PSU is separate to the device - you will need to check this (almost all things like this are)
Most things work like this:
Socket->PSU->output to device
If you were in the US this would be
Socket (110V) -> PSU-> ouput to device
The way you are planning to do it is
Socket (230V) -> Transformer to take it to 110V -> PSU to take this to 5DC -> Out to device
By using my method above, you are totally replacing the transformer/PSU with one that can accept 230V from the socket, neglecting the need for a device like you linked. This will go
Socket (230V) -> PSU to take it to 5DC -> Output to device
Follow me?