Why did the Greeks manage to win the Battle of Marathon?

The Battle of Marathon is one of the largest battles between Persians and Greeks.

The core of the Greek army was a phalanx of heavily armed hoplite warriors. The Persian infantry was heterogeneous both in composition and in armament.

In the center of the Persian army stood the most trained infantry, with good weapons. The battle lasted a long time. The Persian center managed to break through the center of the Greek army, but the flanks of the Greeks, pushing the Persian flanks, rushed to the aid of their retreating center. As a result, the remnants of the Persian army were trapped and fled.