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Intangible Assets and Goodwill (Details 1) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Goodwill [Line Items]        
Income tax benefit (expense)   $ 1,158.0 $ 1,425.6 $ 2,458.7
Accumulated impairment losses related to goodwill   0.0    
Summary of roll forward of the changes in goodwill        
Goodwill, beginning of period   5,706.4 4,632.5  
Increase to goodwill   117.5 1,080.1  
Elimination of goodwill allocated to Hillerød, Denmark manufacturing operations   69.5 0.0  
Other   3.4 (6.2)  
Goodwill, end of period $ 5,706.4 $ 5,757.8 5,706.4 $ 4,632.5
Fumapharm AG | TECFIDERA        
Goodwill [Line Items]        
Income tax benefit (expense)     119.9  
Summary of roll forward of the changes in goodwill        
Increase to goodwill 300.0   1,200.0  
Each additional one billion up to twenty billion | Fumapharm AG | TECFIDERA        
Goodwill [Line Items]        
Cumulative sales level $ 20,000.0   $ 20,000.0