There were many Persan-Greek battles. Which one did you have in mind?
Naval Battle of Salamis (29 September 480): important battle during the Persian War, in which the Greek allies defeated the Persian navy .
Destruction of the Persian fleet meant the eventual failure of the Persian attempt to incorporate the mainland Greek city-states within the Persian Empire.
The combined and powerful Greek navy defeated a similar sized Persian fleet at the battle of Salamis.
The Greek and Persian fleets.
After the Persian navy had been defeated in 480 at Salamis, the Greek cities were able to concentrate and defeat the Persian army, ending the invasion of peninsular Greece.
A coalition of southern Greek city-states defeated a Persian fleet of Phoenician, Greek and Egyptian ships at the naval battle of Salamis.
Persian - Xerxes I. Greek - Eurybiades of Sparta.
Because the Persian Army wanted to defeat the Greek city-states that supported the uprisings in Ionia, part of modern-day Turkey, against the Persian Empire.
Because the Persian Army wanted to defeat the Greek city-states that supported the uprisings in Ionia, part of modern-day Turkey, against the Persian Empire.
Plataia was a battle in the 50 year Persian War. A coalition of Greek city-states defeated a Persian expeditionary force in the battle.
The Athenian and Plataea armies turned back a Persian punitive expedition. This success convinced other Greek city-states that they could hold off Persian attempts to dominate them.
Salamis