Manchester City have confirmed the signing of Rodri from Atletico Madrid for a club-record transfer fee of €70 million (£63m/$79m).
City triggered the buy-out clause in the 23-year-old's Atleti contract after convincing him to move to the Etihad Stadium.
The Spain international has signed a five-year deal with the Premier League champions.
City identified Rodri as their No.1 target for the deep-lying midfield role towards the end of last season, and had been confident of wrapping up his signature as far back as April.
The midfielder had second thoughts about his future in June as Atleti made efforts to sign him to a new contract, while Bayern Munich also made a serious attempt to bring him to Bavaria.