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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization $ (4,344.7) $ (3,745.4)
Gross Amount 7,713.7 7,788.5
Net Amount 3,369.0 4,043.1
Amortization Expense    
2024 674.9  
2025 540.6  
2026 469.9  
2027 380.8  
2028 $ 296.0  
Minimum    
Amortization Expense    
Useful life 1 year  
Maximum    
Amortization Expense    
Useful life 15 years  
In-process research and development    
Indefinite-lived Intangible Assets [Line Items]    
In-process research and development $ 5.7 6.4
Core and developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 7,296.2 7,390.2
Accumulated Amortization (4,103.4) (3,571.5)
Net Amount 3,192.8 3,818.7
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 199.8 200.3
Accumulated Amortization (128.0) (112.4)
Net Amount 71.8 87.9
Software licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 211.7 191.2
Accumulated Amortization (113.0) (61.2)
Net Amount 98.7 130.0
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 0.3 0.4
Accumulated Amortization (0.3) (0.3)
Net Amount $ 0.0 $ 0.1