Origin: Germanic, Greek, Old Norse, Irish, Hindu, Japanese
Meaning: a multicultural name with many meanings, Ida is from the Germanic element id meaning “work, labor”.
It’s also a Greek feminine name, the name of a mountain on the island of Crete, the birthplace of the Greek god Zeus, as well as being the name of the nymph who nursed him as a baby, along with another nymph, Adrasteia. The Greek meaning is unknown though I have seen it possibly coming from Greek idê and ida meaning “woodland”.
I’ve also seen Ida listed as being a variant of Iðunn, an Old Norse goddess from Old Norse ið (again) and unna (to love).
It also seems to be an Anglicization of Irish Íde possibly meaning “thirst”.
Ida is also a name found in Hindu myth, a variant of Ila, a god or goddess who seemed to change gender frequently.
Ida is also a Japanese surname though I couldn’t find any meaning on it.