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Share-Based Compensation - Stock Options and Stock Appreciation Rights (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Number of Shares
Outstanding at beginning of period (in shares)	281,882	284,340	433,117
Assumed upon acquisition (in shares)		141,751
Exercised (in shares)	(130,419)	(140,118)	(131,666)
Forfeited or expired (in shares)	(2,453)	(4,091)	(17,111)
Outstanding at end of period (in shares)	149,010	281,882	284,340
Weighted Average Exercise Price per Share
Outstanding at beginning of period (in dollars per share)	$ 30.16	$ 31.21	$ 31.51
Assumed upon acquisition (in dollars per share)		25.86
Exercised (in dollars per share)	28.71	27.67	31.75
Forfeited or expired (in dollars per share)	20.02	39.62	34.73
Outstanding at end of period (in dollars per share)	31.59	$ 30.16	$ 31.21
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share price (in dollars per share)	$ 67.80
Weighted average remaining contractual term	2 years 7 months 28 days
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total intrinsic value of options exercised related to stock incentive plans	$ 8.4	$ 8.3	$ 7.4
Aggregate intrinsic value of options outstanding related to stock incentive plans	$ 10.1
Exercisable number of option shares (in shares)	149,010	278,591
Weighted average exercise price per share of exercisable options (in dollars per share)	$ 31.59	$ 30.03
Share-based compensation arrangement by share-based payment award, options, grants in period, grant date intrinsic value (in shares)	$ 0	$ 0	$ 0

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Weighted average remaining contractual term for equity-based awards excluding options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The addition or reduction in the number of reserved shares that could potentially be issued under the option plan attributable to reasons other than grants, exercises, forfeitures, and expirations during the reporting period.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan.

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