Stock-Based Compensation - Annual RSUs and Annual PSUs (Details) - RSUs and PSUs - Stock Incentive Plan 2015 - $ / shares	12 Months Ended
Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020
Number of Shares
Nonvested at the beginning of the period (in shares)	113,086	162,349	231,399
Granted (in shares)	52,256	47,015	67,515
Vested (in shares)	(60,034)	(92,614)	(121,572)
Forfeited (in shares)	(7,441)	(3,664)	(14,993)
Nonvested at the end of the period (in shares)	97,867	113,086	162,349
Weighted- Average Grant-Date Fair Value
Outstanding at the beginning of the period (in dollars per share)	$ 179.58	$ 124.47	$ 84.75
Granted (in dollars per share)	363.89	220.31	172.34
Vested (in dollars per share)	(162.37)	(104.92)	(76.81)
Forfeited (in dollars per share)	(239.39)	(147.34)	(113.49)
Outstanding at the end of the period (in dollars per share)	$ 284.00	$ 179.58	$ 124.47

The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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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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Weighted average price at which grantees could have acquired the underlying shares with respect to stock options that were terminated.

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