Many of the city-states united to defeat Persia. Sparta was elected to lead on both land and sea. Athens made a major contribution of ships.
Athens' made more than a "contribution of ships." Since Sparta had few ships and little experience with warfare at sea at that time, the Spartian naval command was a place of honor only. The navy was primarily Athenian with a smattering of ships from other cities, and it was Athenian strategy and seamanship that brought about the victories at Salamis and Mycale in the Second Persian War that ended the Persian threat, freeing the Greek cities on the Ionian coast, and paving the way for Alexander's invasion of Persia in later years.
When was the 'First' Persian War.
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By the Greek city-states combining to defeat the Persian army and navy.
It was the Battle of Thermopylae in the Second Persian War. The Greeks won. Shortly after Thermopylae the Athenian Navy defeated the Persian Navy at Salamis, and in the next year the Persian Army was defeated by a combined Greek Army at Plataea.
The Persian War was won by the Greek city-states who ban ded together to see off the Persian attempt to incorporate them within its empire. They won it by progressively establishing naval and land supremacy over the Persian forces over a period of fifty years, so that the Persians gave up.
A confederation of Greek city-states.
The Greek city-states in Asia Minor revolted against Persian rule, and spread to mainland Greece. The Greeks won.
Plataia was a battle in the 50 year Persian War. A coalition of Greek city-states defeated a Persian expeditionary force in the battle.
President Bush
The Persians would have won if Sparta and Athens had not united to fight the Persian Army
A coalition of southern Greek city-states defeated the invading Persian army and its Greek allies.