Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
Income Tax Disclosure [Abstract]
Computed expected income taxes	$ 105,318	$ 71,582	$ 69,076
State income taxes, net of federal income tax benefit	16,479	11,042	9,329
Foreign rate differential	(15,507)	(17,966)	(20,105)
Unrecognized tax benefits	7,632	6,695	786
Dividends from previously taxed earnings	(5,313)	(4,584)	(4,257)
Nondeductible executive compensation	11,070	4,162	7,742
US tax on foreign earnings	4,252	2,343	5,848
Re-measurement of deferred taxes	0	0	(983)
Tax audit settlements	1,147	(3,956)	0
Employee share based compensation excess tax benefits	(6,846)	(2,477)	(1,445)
Other	707	(2,117)	(1,365)
Total	$ 118,939	$ 64,724	$ 64,626