Debate: Were the Persian Wars really Greek victories?

I was listening to historians discuss this topic and they really were pretty divided on what the actual outcome was, especially for the first war.

The first Persian war was started because the Greeks were aiding Greek city states in Turkey. Persia was like "frick this shite" and invaded Greece as retaliation. Now all anyone wants to remember is the victory at Marathon, but when you look at the end result of the war, it definitly looks like the Persia s get the best out of it.

From Wikipedia:

Result Persia re-subjugates Thrace and conquers Macedon, Naxos and the other Cycladic Islands. Persian attempts to conquer Athens are unsuccessful.


Now this argument is a little more tricky for the second war but here it is. Persians invaded Greece as revenge for the first war. Despite the invasion failing, they still managed to burn Athens to the ground and caused a huge amount of destruction to the Greek city-states without ever really being put at disadvantage at all despite the defeats