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Inventory - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2022
Dec. 31, 2021
Jun. 30, 2021
Jun. 30, 2020
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Inventory [Line Items]              
Write-downs on excess, obsolete, unmarketable or other inventory         $ 336.2 $ 167.6 $ 26.6
Inventory   $ 1,351.5     1,365.5 1,351.5  
Income (loss) from equity method investments         2.6 34.9 3.3
Eisai              
Inventory [Line Items]              
Income (loss) from equity method investments       $ 33.8 0.0 45.0 $ 33.8
ADUHELM              
Inventory [Line Items]              
Write-downs on excess, obsolete, unmarketable or other inventory $ 275.0 120.0          
Inventory   $ 223.0       223.0  
Income (loss) from equity method investments         111.0 30.0  
ADUHELM | Eisai              
Inventory [Line Items]              
Income (loss) from equity method investments     $ 45.0     $ 59.0  
ADUHELM | Centers for Medicare and Medicaid Service | Eisai              
Inventory [Line Items]              
Income (loss) from equity method investments         $ 136.0