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Investments in Variable Interest Entities (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Jun. 30, 2021
May 31, 2018
Oct. 31, 2017
Sep. 30, 2021
Jun. 30, 2021
Sep. 30, 2020
Jun. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Variable Interest Entity [Line Items]                    
Payments to Noncontrolling Interests               $ 94.8 $ 70.9  
(Gain) loss on equity method investment               17.2 (14.7)  
Deferred tax assets, net       $ 500.0       500.0    
Deferred tax assets, gross $ 875.0       $ 875.0          
Deferred tax assets, unrecognized tax benefit 375.0       $ 375.0          
Investment in biotechnology companies that are determined to be unconsolidated variable interest entities       17.2       $ 17.2   $ 12.8
Neurimmune                    
Variable Interest Entity [Line Items]                    
Collaboration agreement term               12 years    
Research and development costs, percentage               100.00%    
Payments to Noncontrolling Interests   $ 50.0 $ 150.0              
Reduction in royalty rate payable on commercial sales     15.00%              
Additional reduction in royalty rate payable on commercial sales   5.00%                
Regulatory Milestones | Neurimmune                    
Variable Interest Entity [Line Items]                    
Potential future milestone payments commitment to third party             $ 75.0      
Eisai                    
Variable Interest Entity [Line Items]                    
(Gain) loss on equity method investment       50.6   $ 33.8 $ 33.8 $ 90.7    
Percentage of future development costs related to Eisai         45.00% 45.00% 45.00%      
Additional milestone payment           $ 75.0        
Eisai | ADUHELM                    
Variable Interest Entity [Line Items]                    
(Gain) loss on equity method investment       45.0 $ 45.0     45.0    
Additional milestone payment 100.0     0.0   $ 0.0   100.0 $ 75.0  
Eisai | Regulatory Milestones | Neurimmune | ADUHELM                    
Variable Interest Entity [Line Items]                    
Potential future milestone payments commitment to third party $ 100.0       $ 100.0          
Eisai | Regulatory Milestones | JAPAN | ADUHELM                    
Variable Interest Entity [Line Items]                    
Potential future milestone payments commitment to third party       50.0       50.0    
Eisai | Regulatory Milestones | Europe | ADUHELM                    
Variable Interest Entity [Line Items]                    
Potential future milestone payments commitment to third party       $ 50.0       $ 50.0