Stock-Based Compensation - Annual Awards (Details) - RSUs - 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)	97,867	113,086	162,349
Granted (in shares)	51,955	52,256	47,015
Vested (in shares)	(45,092)	(60,034)	(92,614)
Forfeited (in shares)	(15,439)	(7,441)	(3,664)
Nonvested at the end of the period (in shares)	89,291	97,867	113,086
Weighted- Average Grant-Date Fair Value
Outstanding at the beginning of the period (in dollars per share)	$ 284.00	$ 179.58	$ 124.47
Granted (in dollars per share)	338.99	363.89	220.31
Vested (in dollars per share)	(249.67)	(162.37)	(104.92)
Forfeited (in dollars per share)	(299.96)	(239.39)	(147.34)
Outstanding at the end of the period (in dollars per share)	$ 330.57	$ 284.00	$ 179.58