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Commitments and Contingencies (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Dec. 31, 2019
Dec. 31, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2024
Jun. 30, 2022
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately   $ 5,100.0 $ 5,100.0      
Accrued expenses   47.2 47.2      
Cancellable future commitments   669.0 669.0      
Liabilities associated with uncertain tax positions   172.0 172.0      
Income taxes paid     185.4      
2017 Tax Act            
Business Acquisition [Line Items]            
Transition toll tax liabilities   419.5 419.5 $ 558.0    
Development Milestones            
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately   900.0 900.0      
Regulatory Milestones            
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately   400.0 400.0      
Commercial Milestones            
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately   3,800.0 $ 3,800.0      
Maximum | ADUHELM            
Business Acquisition [Line Items]            
Research and development expense asset acquired       $ 335.0    
Ionis Pharmaceuticals            
Business Acquisition [Line Items]            
Research and development expense asset acquired $ 45.0          
Ionis Pharmaceuticals | Minimum | SPINRAZA            
Business Acquisition [Line Items]            
Percentage of royalties as per collaboration     11.00%      
Ionis Pharmaceuticals | Minimum | QALSODY            
Business Acquisition [Line Items]            
Percentage of royalties as per collaboration     11.00%      
Ionis Pharmaceuticals | Maximum | SPINRAZA            
Business Acquisition [Line Items]            
Percentage of royalties as per collaboration     15.00%      
Ionis Pharmaceuticals | Maximum | QALSODY            
Business Acquisition [Line Items]            
Percentage of royalties as per collaboration     15.00%      
Alkermes | VUMERITY            
Business Acquisition [Line Items]            
Percentage of royalties as per collaboration     15.00%      
Royalties payable period, post FDA approval     5 years      
Aducanumab | Forecast            
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately         $ 109.0  
Eisai | ADUHELM | Regulatory Milestones | Neurimmune            
Business Acquisition [Line Items]            
Potential future milestone payments commitment, approximately           $ 100.0
Sage Therapeutics            
Business Acquisition [Line Items]            
Research and development expense asset acquired   $ 75.0        
TYSABRI            
Business Acquisition [Line Items]            
Future contingent payment for annual worldwide net sales up to threshold, percentage   18.00% 18.00%      
Future contingent payment threshold   $ 2,000.0 $ 2,000.0      
Future contingent payment for annual worldwide net sales that exceeding threshold, percentage   25.00% 25.00%