Treasury Stock - Summary of Share Repurchases and Cumulatively Since Inception of Authorization (Detail) - USD ($)	12 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020
Equity [Abstract]
Shares repurchased	566,073	367,961	822,353
Cost	$ 90,085,000	$ 32,671,000	$ 65,608,000
Average price	$ 159.14	$ 88.79	$ 79.78
Shares repurchased, Cumulative	37,219,625
Cost, Cumulative	$ 654,520,000
Average price, Cumulative	$ 17.59