Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Mar. 31, 2024	Mar. 31, 2023
Income Tax Disclosure [Abstract]
Foreign withholding taxes	$ 15,350	$ 17,123
Property, plant and equipment	10,604	10,617
Undistributed earnings	3,145	3,772
Operating lease right-of-use assets	8,119	5,791
Goodwill and other intangible assets	32,232	33,781
Interest rate swap	3,036	1,885
All other	1,168	2,786
Total deferred tax liabilities	73,654	75,755
Employee benefit plans	15,938	15,654
Reserves and accruals	6,973	5,692
Deferred income	5,827	5,573
Operating lease right-of-use liabilities	7,407	5,500
Currency translation losses of foreign subsidiaries	2,156	2,173
Local currency exchange losses of foreign subsidiaries	2,075	1,084
Foreign tax credit carryforward	8,196	5,578
Capital loss carryforwards	4,143	4,197
All other	9,997	11,016
Total deferred tax assets	62,712	56,467
Valuation allowance	(13,016)	(10,234)
Net deferred tax assets	$ 49,696	$ 46,233