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Investments in Variable Interest Entities (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended
May 31, 2018
Oct. 31, 2017
Mar. 31, 2021
Mar. 31, 2020
Dec. 31, 2020
Variable Interest Entity [Line Items]          
Investment in biotechnology companies that are determined to be unconsolidated variable interest entities         $ 12.8
Loss on equity method investment     $ (18.2) $ (16.8)  
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%        
Twelve months          
Variable Interest Entity [Line Items]          
Potential Future Milestone Payments Commitment To Third Party Approximately     $ 150.0    
Regulatory Milestones [Member] | Neurimmune          
Variable Interest Entity [Line Items]          
Potential Future Milestone Payments Commitment To Third Party Approximately         $ 75.0
Eisai          
Variable Interest Entity [Line Items]          
Loss on equity method investment     $ 33.8    
Percentage of future development costs related to Eisai     45.00%    
Aducanumab | Regulatory Milestones [Member] | JAPAN          
Variable Interest Entity [Line Items]          
Potential Future Milestone Payments Commitment To Third Party Approximately     $ 50.0    
Neurimmune | Regulatory Milestones [Member]          
Variable Interest Entity [Line Items]          
Potential Future Milestone Payments Commitment To Third Party Approximately     $ 100.0