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Income Taxes - Unrecognized Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Beginning balance $ 436.0 $ 398.5 $ 220.7
Increases related to acquisitions 329.7 0.0 193.3
Decreases related to settlements with tax authorities (8.3) (0.1) (11.7)
Decreases related to statute of limitation expirations (16.2) (10.9) (7.6)
Increases related to current year tax positions 27.8 30.3 26.3
Decreases related to prior year tax positions (5.6)   (22.5)
Increases related to prior year tax positions   18.2  
Ending balance 763.4 436.0 398.5
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued [Abstract]      
Unrecognized tax benefits, income tax penalties accrued 88.1 80.8  
Unrecognized tax benefits, income tax penalties and interest expense 37.5 5.4 $ 5.8
Unrecognized tax benefits that would impact effective tax rate 664.4 $ 436.0  
Unrecognized tax benefits, potential decrease $ 50.0