Stock-Based Compensation - LTIP PSUs (Details) - LTIP PSUs - Stock Incentive Plan 2015 - $ / shares	12 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2021
Number of Shares
Nonvested at the beginning of the period (in shares)	103,032	116,128	153,446
Granted (in shares)	65,470	69,644	39,780
Vested (in shares)	(30,104)	(69,816)	(77,098)
Forfeited (in shares)	(27,194)	(12,924)
Nonvested at the end of the period (in shares)	111,204	103,032	116,128
Weighted- Average Grant-Date Fair Value
Nonvested at the beginning of the period (in dollars per share)	$ 344.25	$ 215.30	$ 133.53
Granted (in dollars per share)	330.70	358.75	376.45
Vested (in dollars per share)	(319.81)	(131.33)	(106.37)
Forfeited (in dollars per share)	(323.92)	(239.81)
Nonvested at the end of the period (in dollars per share)	$ 347.86	$ 344.25	$ 215.30