Yes. In coalition with their Greek allies, and led by Sparta, they had carefully planned the battle to take place in a narrow strait where the Persian navy was split in entering around both sides of the island of Psytttalia, and the Greek navies caught them as they were strung out getting through and vulnerable to flank attack.
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They had also conned the Persians into sending a third of their fleet around the back exit of the strait to prevent them from avoiding battle, and so the Persian fleet actually engaged was minus this important force.