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Income Taxes - Reconciliation of Income Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2021
Income Tax Disclosure [Abstract]
Income tax expense computed at U.S. federal statutory rate	$ 77,269	$ 126,981	$ 139,112
Increases (reductions) resulting from:
State and local income taxes, net of federal tax	32,599	28,762	17,586
Foreign income taxes, net of federal tax	4,765	9,243	6,679
Non-deductible expenses, including non-deductible penalties	34,825	859	918
Re-measurement of current year losses under CARES Act	0	0	(76,767)
Excess tax benefits from stock-based compensation	(5,247)	(4,227)	(8,556)
Research and development and other federal credits	(33,159)	(34,080)	(30,313)
Executive compensation -162(m)	4,295	3,614	3,813
Foreign-Derived Intangible Income (FDII)	(15,869)	(9,115)	(4,536)
Changes in uncertain tax positions (including indirect effects)	(6,498)	16,938	6,793
Other	3,754	(1,509)	(1,248)
Total	$ 96,734	$ 137,466	$ 53,481

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