How did the classical civilization of Greece influence the culture of other peoples in the world?

In short the Greeks are admired all around us today, they built fabulous and luxurious buildings that the Roman’s took after, they colonized places like Sicily, and took over places like Persia and Egypt. They were masters of culture, including the arts, architecture, governance, and philosophy. Later the Roman’s would take much after them, which lead to Hellenic thought being spread throughout the entire world. Even looking at the US Capitol, much of it is built in a Greco-Roman style.