"Venuto a casa, ho fatto la cena."

Translation: Having arrived at home, I made dinner.

[magofa]

why would I have come home be wrong here?

[Viaggiatore]

I have come home would Sono venuto (or venuta) a casa.

[magofa]

I'm having trouble trying to understand where "having" is in this sentence

[Viaggiatore]

"Venuto" = "having come."