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Income Taxes (Effective Income Tax Rate Reconciliation) (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2022
Income Tax Disclosure [Abstract]
Expected tax provision at statutory income tax rates	$ 52,836	$ 39,399	$ 65,945
Income taxes at different rates	47,595	38,467	61,296
Research and development tax credits	(9,738)	(152)	(5,957)
Swiss Tax Ruling	(50,051)	0	0
Executive compensation	407	749	4,683
Stock-based compensation	4,019	5,736	(9,141)
Deferred tax effects from TRAF	(33,926)	0	0
Valuation allowance	4,780	908	887
Impairment	0	1,881	0
Restructuring charges / (credits)	0	(1,764)	0
Unrecognized tax benefits	11,535	13,284	16,577
Audit settlement	0	0	(3,655)
FDII deduction	(18,675)	0	0
Other, net	671	439	670
Provision for income taxes	$ 9,453	$ 98,947	$ 131,305

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