I assume by "a State" you really mean "a private monopoly of currency creators".
The traditional way to answer your question is to use the numbers helpfully given to us by the private monopoly of currency creators, such as M3.
Of course it changes quite a bit from place to place and time to time. The last 100 years have put a nice average of somewhere around 7% annually, leading to the lose-half-your-purchaing-power-every-10-years rule of thumb that we have come to expect.
Unfortunately however, there's no real way to answer your question with certainty except to wait a very very long time indeed and see how much you can buy with your old currency.
Isn't inflation like 3%, and inflation is supposed to represent buying power?
No
Well, "inflation" is one word, and without some context and clarifiers it will simply spawn inflation of this forum as people put their own context on it. Without more clarification, it could refer to the hubble law, obesity, baloons, etc.
Buying power is also not so clear, because there's a lot of stuff one might want to buy. Bitcoins for example. Or gold, or transistors. Or bread. Very different answers from all.
The OP mentioned currency debasement, my reply did not use the word inflation but currency debasement could be called inflation of the money supply. How that inflation of the money supply trickles down into purchasing power is a very interesting question and science that some people call "economics".