Stockholders' Equity - Change in Number of Shares of Common Stock Outstanding (Detail) - shares	12 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Shares outstanding, beginning balance (in shares)	42,753,020	42,323,305	42,620,750
Purchase of treasury stock (in shares)	(1,996,334)	0	(581,140)
Shares issued as part of equity-based compensation plans, net of equity awards surrendered for option price and taxes (in shares)	229,972	429,715	283,695
Shares outstanding, ending balance (in shares)	40,986,658	42,753,020	42,323,305