Final answer:
The Persian military campaigns against the Greeks took place during the Persian Wars (492-449 BCE). The Greeks initially revolted against Persian rule, but were eventually defeated. The wars ended with the Greeks emerging victorious and the Persians giving up their attempt to conquer Greece.
Step-by-step explanation:
The Persian military campaigns against the Greeks were conducted during the Persian Wars (492-449 BCE). The wars started in the mid-sixth century BCE when Persian armies subdued the Greek city-states of Ionia and installed tyrants to govern them. In 499 BCE, the Ionian Rebellion took place with Athens and other Greek cities joining the revolt. However, by 494 BCE Persian forces had crushed the rebellions. The decisive battles and campaigns that followed eventually led to the Greeks emerging victorious and the Persians abandoning their attempt to conquer Greece.