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Segment Information (Adjusted Share-Based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Share-based compensation expense $ 97.8 $ 100.0 $ 85.5
Share-based compensation expense included in restructuring and other (4.2) 0.0 (3.5)
Share-based compensation expense 102.0 100.0 89.0
Corporate and reconciling items      
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Share-based compensation expense 97.8 100.0 85.5
Restructuring and other      
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Share-based compensation expense 4.2 0.0 3.5
Restructuring and other | Corporate and reconciling items      
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Share-based compensation expense included in restructuring and other $ 4.2 $ 0.0 $ 3.5