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Collaborative and Other Relationships - Equity Method Investments (Details)
₩ in Millions, $ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Apr. 30, 2022
USD ($)
Dec. 31, 2019
Sep. 30, 2022
USD ($)
Mar. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Sep. 30, 2021
USD ($)
Mar. 31, 2020
USD ($)
Sep. 30, 2022
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2022
KRW (₩)
Jun. 30, 2022
KRW (₩)
Jan. 31, 2022
USD ($)
Dec. 31, 2021
KRW (₩)
Jan. 31, 2020
USD ($)
Nov. 07, 2018
USD ($)
Schedule of Equity Method Investments [Line Items]                              
Income (loss) from equity method investments               $ 2.6 $ 17.2            
Collaboration profit (loss) sharing     $ 45.3     $ 21.2   (42.6) 74.5            
ADUHELM                              
Schedule of Equity Method Investments [Line Items]                              
Research and development expense               $ 300.0              
Samsung Bioepis                              
Schedule of Equity Method Investments [Line Items]                              
Percentage of stake in entity maximum     49.90%         49.90%   49.90%          
Amortization of basis differences                             $ 675.0
Loss recorded on Samsung Bioepis joint venture           1.1   $ 2.6 17.2            
Income (loss) from equity method investments           8.9   17.0 39.5            
Investment in Samsung Bioepis         $ 599.9         ₩ 0.0     ₩ 713,300.0    
Collaboration profit (loss) sharing     $ 48.7     71.8   171.4 210.2            
Eisai                              
Schedule of Equity Method Investments [Line Items]                              
Income (loss) from equity method investments     3.4     50.6   214.0 $ 90.7            
Due to Related Parties     81.7   46.5     81.7              
Eisai | ADUHELM                              
Schedule of Equity Method Investments [Line Items]                              
Income (loss) from equity method investments       $ 59.0 45.0 $ 45.0   $ 177.0              
Samsung Bioepis                              
Schedule of Equity Method Investments [Line Items]                              
Proceeds from divestiture of interest in joint venture $ 1,000.0                            
Investment in Samsung Bioepis | ₩                     ₩ 581.6        
Payables to divestiture of interest in joint venture                       $ 1,300.0      
Equity Method Investments, Expected Profit Share   45.00%           50.00%              
Upfront and milestone payments made to collaborative partner             $ 100.0                
Research and development expense             $ 63.0                
Prepaid research and development expenses                           $ 37.0  
Accrued milestone payments     15.0                        
Estimated additional payments upon achievement of development and commercial milestones               $ 180.0              
Contract Option Exercise Fee               60.0              
Due to Related Parties     $ 53.8   $ 148.7     $ 53.8              
Samsung Bioepis | Payment Due At First Anniversary                              
Schedule of Equity Method Investments [Line Items]                              
Payables to divestiture of interest in joint venture                       812.5      
Samsung Bioepis | Payment Due At Second Anniversary                              
Schedule of Equity Method Investments [Line Items]                              
Payables to divestiture of interest in joint venture                       $ 437.5      
Inventory | Samsung Bioepis                              
Schedule of Equity Method Investments [Line Items]                              
Equity method investment basis difference amortization period               1 year 6 months              
Developed technology | Samsung Bioepis                              
Schedule of Equity Method Investments [Line Items]                              
Equity method investment basis difference amortization period               15 years