The 23-year-old has signed a four-year contract with the Scottish side.
Celtic manager Neil Lennon confirmed after their Champions League play-off win against Shakhter Karagandy that a fee had been agreed with Schalke for the striker.
“The carrot of the Champions League might be a bigger draw for a lot of players now,” he said.
“I think it puts us in an excellent position but they will have to play well to get into that team.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.