The Athenians attacked the Persians the Persians right when they got of their boats and surrounded the Persians. 6,400 Persians died and only 192 Athenians died. It was a massive win for Greece. This battle severally depleted the Persian army. Plus it gained the Athenians respect from the Persians so the Persians would think again before attacking.
Battle of Thermopylae
The Greeks learned they could stand up to the Persians. This lead to many Cities renouncing their submission to the Persian army. It caused Darius to become angry, because he has lost all of his power over the Greeks. This changed the tide of the war because Greece is now confident in themselves.
Battle of Salamis
King Darius dies and his son, Xerxes, takes over in his place to lead the Persian army. This event occurs while the Persians are preparing to invade Greece. It made it so an inexperienced king is ruling the Persian army. This might have been a reason why the ended up losing the War to the Greeks.
Persia and Sparta battled each other in a narrow pass called Thermopylae. Leonidas brought 300 men and they killed around 80,000 Persians altogether in three waves. This was important because it severally depleted the Persians forces. Plus it reinforced that Sparta had one of the greatest army's in all of the world.
The Persian navy tried to attack Athens, but they were outsmarted by a smaller Athenian fleet. They had to retreat back to Persia. This important because it ended the Persians reign. Plus most important of all is that it stopped all of Persia's attacks on Greece.
Spartans and Athens fight for 70 long Years. Which ended up leading to an obvious Spartan victory. This battle made them turn their attention form other threats such as the Macedonians from the north. Which could end up costing both of them.