Thermopylai was not a Spartan-Persian battle. It was part of the Persian invasion of peninsular Greece lasting two years involving many Greek cities. The Spartan force at Thermopylai was 300 warriors out of a Greek force of about 8,000.
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The two-year invasion included several sea and land battles in which Sparta provided some of the Greek naval forces and land forces totalling a couple of hundred thousand. Those battles were Artemesion, Salamis, Plataia and Mykale.