The victory over Persia in 480-479 was achieved by a southern Greek alliance - there was no Athenian empire.
Sparta proposed that Greeks located within the Persian empire, who had caused the problem in the first place, be repatriated back to mainland Greece. Athens proposed that an alliance of the cites sustain a fleet which could guarantee protection of the Greek cities within the Persian empire. This was implemented (the Spartan plan was adopted over 2,000 years later in 1923 CE when Greeks in Turkey were repatriated).
The cities contributed ships or money. Most took the easy option of money which allowed Athens to maintain its superior navy at little cost. It was rigorous in collecting the contributions, by force when necessary. While the league was not an Athenian empire, it has been called that in modern terms.
After further battles withe Persia in 466 and 450 BCE, a peace was agreed in the 449 BCE Peace of Callias. Athens continued to collect the tribute and used it to beautify the city (Parthenon etc) and pay for nearly half its citizens to on the public payroll.
This was a very cozy arrangement, however Athens went too far in getting involved in the Peloponnesian war, as a result of which it lost this comfortable empire, as well as wrecking the Greek world in the process.
The batte of Marathon was between the Athenian people or Athens and the greatest empire of that time Persia.
Persia (once was Persia).
Persia.
Persia's absorption of Media and then conquest of the Babylonian Empire.
They called it the Kingdom of Persia. We call it the Persian Empire.
They killed each other.
There was no Athenian empire at the battle of Marathon. Athens fought there with one minor ally Plataia. Athens developed an empire 50 years later from the anti-Persian alliance known as the Delian League.
It demonstrated to the Greek city-states that the Persian Empire was not unstoppable. It gave the Athenians great confidence in their abilities. It conviced Persia that it needed to take over mainland Greece to stabilise the western part of its empire.
Athens' decisive role in spearheading Greek resistance against Persia.:)
The batte of Marathon was between the Athenian people or Athens and the greatest empire of that time Persia.
It spread from Persia through the Middle East, Egypt and Central Asia.
The Spartan alliance took money from Persia and was able to afford a fleet which could match that of the Athenian empire.
The Peloponnesian War (490 B.C.) destroyed the Athenian Empire.
Persia incorporated the Babylonian Empire into the Persian Empire.
They used Persian financial support to build a fleet to gain victory over the Athenian empire in the Peloponnesian War.
Cyrus the Great expanded Persia from a tributary state of the Medes into an empire covering the Middle East and Central Asia.
Pelopponesian war, fought between Sparta and her alllies, and the Athenian Empire