Coutinho passed his medical with Bayern on Sunday before putting pen to paper on his loan contract, which runs until June 30, 2020.
Barcelona will loan Philippe Coutinho to Bayern Munich for the 2019-20 season. Bayern Munich will pay 8.5 million euros and the player's wages.
Coutinho, who has scored 21 goals and supplied 11 assists in 75 games for Barca in all competitions despite being unsettled, said he was delighted with the move to Germany.
The deal is a one-year loan with an option for the German club to buy the former Liverpool attacker at the end of the season.
La Blaugrana paid Liverpool an eye-watering £140m to land Coutinho in January 2018 and it has looked like awful business from the Catalans ever since.
Bayern had announced on Friday evening that a deal "in principle" to sign Coutinho had been agreed, with Rummenigge and sporting director Hasan Salihamidzic having been in Barcelona that week.
Facebook, Twitter accuse China of disinformation campaign against Hong Kong protesters
From there, demonstrators made there way to Hong Kong's Central district, despite not having an approved permit to do so. When stragglers convened outside a government complex in the late evening, other protesters urged them to go home.
Ashes 2019: Cricket Australia to Take Serious Action after Steve Smith Injury
Shane Warne suggested booing Smith in other instances was one thing but to add insult to injury was not on. To see the protocols practised at Lord's overnight was important and correct".
The Rock Gets Married
The superstar has some fantastic "congrats" messages on the post from the likes of Tom Brady and Kevin Hart . The Rock has married his long-term girlfriend Lauren Hashian - in a secret ceremony in Hawaii on Sunday.
"I'm very much looking forward to that".
"FC Barcelona would like to publicly thank Philippe Coutinho for his commitment and dedication", said an official statement, that also wished him "all the best in this new stage of his career".
"I have a huge challenge in front of me here, and hope to stay a long time and win many titles, " Coutinho said.
Philippe Coutinho will wear the No. 10 jersey previously worn by club legend Arjen Robben.
"He really wanted me to come here, so they flew to Barcelona, we met, they showed me the project and that's why I really want to thank them, because from the first second [it was clear] how they see me". "He's a world-class player with great ability who can play in various positions in attack". "I hope to be able to confirm expectations with good football on the pitch".
According to Sport, the Brazil midfielder remarked: "In Barcelona, a lot of things did not turn out as we had imagined".