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Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Dec. 31, 2021
Intangible assets      
Total intangible assets, gross $ 7,606.2   $ 7,609.8
Accumulated Amortization (5,455.4)   (5,388.5)
Intangible assets, net 2,150.8   2,221.3
Amortization and impairment of acquired intangible assets 66.9 $ 98.1  
Expected future amortization expense, 2019 (remaining three months) 200.0    
Expected future amortization expense, 2020 210.0    
Expected future amortization expense, 2021 195.0    
Expected future amortization expense, 2022 195.0    
Expected future amortization expense, 2023 180.0    
Expected future amortization expense, 2024 165.0    
Completed technology      
Intangible assets      
Cost 7,413.1   7,413.1
Net 1,957.7   2,024.6
Accumulated Amortization $ (5,455.4)   (5,388.5)
Completed technology | Minimum      
Intangible assets      
Estimated life, (in years) 4 years    
Completed technology | Maximum      
Intangible assets      
Estimated life, (in years) 28 years    
In-process research and development      
Intangible assets      
Cost and Net $ 129.1   132.7
Accumulated Amortization 0.0   0.0
Trademarks and Trade Names      
Intangible assets      
Cost and Net 64.0   64.0
Accumulated Amortization 0.0   $ 0.0
Vixotrigine      
Intangible assets      
Amortization and impairment of acquired intangible assets 44.3    
TGN | In-process research and development      
Intangible assets      
Cost and Net $ 129.1