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Capital Stock (Share-Based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense $ 85.6 $ 77.1 $ 56.3
Total share-based compensation expense 88.5 79.5 78.5
Tax impact [1] (29.6) (28.0) (28.6)
Reduction in net income 58.9 51.5 49.9
Stock Options      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 43.1 42.5 31.0
Restricted Share Units and Other Share-based Compensation      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 36.2 34.0 25.0
Share Appreciation Rights (SARs)      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense 6.3 0.6 0.3
Equity Awards      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Impact of accelerated vesting on stock options and restricted share units [2] 2.9 2.4 0.0
Annual Bonus Plan | Restricted Share Units (RSUs)      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Impact of accelerated vesting on stock options and restricted share units [3] $ 0.0 $ 0.0 $ 22.2
[1] Represents the income tax benefit recognized in the statements of income for share-based compensation arrangements.
[2] Represents the impact of the acceleration of certain vesting schedules for equity awards pursuant to certain severance arrangements.
[3] Represents the impact of immediately vested stock awards granted as part of the Company's annual bonus program, and issued in lieu of cash bonuses.