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Income Taxes - Income Tax (Benefit) Provision from Continuing Operations (Details) - USD ($)
$ in Millions
 12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Pretax (loss) income:      
U.S. $ 132.2 $ (301.7) $ (485.2)
Foreign 1,350.3 641.2 635.6
Income before income taxes 1,482.5 339.5 150.4
Current expense (benefit):      
U.S. Federal 191.6 54.8 21.1
State 3.7 2.0 1.0
Foreign (6.2) 72.2 48.0
Total current expense (benefit) 189.1 129.0 70.1
Deferred expense (benefit):      
U.S. Federal (78.7) (215.4) (127.8)
State (9.1) (22.9) (13.2)
Foreign 95.7 99.4 (349.3)
Total deferred benefit 7.9 (138.9) (490.3)
Total income tax provision (benefit) 197.0 (9.9) (420.2)
Effective Income Tax Rate Reconciliation, Amount [Abstract]      
Computed expected income tax provision 311.3 71.3 31.5
State income taxes, net of federal benefit 3.5 (3.8) (5.4)
Effects of foreign operations - rate differential (96.8) (37.7) (67.4)
Effects of foreign operations - other, net of foreign tax credits 139.9 122.5 62.1
Foreign-derived intangible income ("FDII") (27.3) (10.5) (10.8)
Business realignment of intellectual property rights (3.1) (63.8) (334.8)
Change in uncertain tax positions (47.1) 28.1 (8.4)
Share-based compensation (17.6) (12.3) (11.1)
R&D tax credits (49.5) (47.6) (40.8)
Income tax holidays (22.5) (11.1) (11.4)
Convertible debt settlement (25.5) (48.1) 0.0
Other 31.7 16.4 4.9
Change in valuation allowance 0.0 (13.3) (28.6)
Income tax provision (benefit) $ 197.0 $ (9.9) $ (420.2)