Perseus had no surname. In fact virtually no one had them until the middle ages. Traditionally a person would use the name of the city they lived in when describing themself.
Perseus was said to be born in Argos. So back then surnames were not used. So to answer this I wold say his name is Perseus of Argos.
His first name is Perseus (like in the myth of Perseus, Percy is short for Perseus) and his last name is Jackson (since his mother is Sally Jackson and Poseidon doesn't have a last name). His middle name has not been mentioned. Perseus Jackson
The Romans only changed the names of the gods, not the heroes. So Perseus' Roman name is still Perseus.
PerseuV was the Greek name, it was translated as Perseus as the Latin name.
Formal, the common name for Perseus today is Percy. Percy is short for the English name of Percival. Perseus is probably not a common name, except perhaps in Greece.
Danae.
Danaë
Andromeda.
Hermes loaned Perseus the winged sandals.
boys name.
From the wife of Perseus.
Percy or Perc.