Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Mar. 31, 2022
Income Tax Disclosure [Abstract]
Foreign withholding taxes	$ 17,123	$ 19,353
Property, plant and equipment	10,617	10,567
Undistributed earnings	3,772	3,004
Operating lease right-of-use assets	5,791	6,621
Goodwill and other intangible assets	33,781	34,584
Local currency exchange gains of foreign subsidiaries	1,432	4,094
All other	3,239	3,414
Total deferred tax liabilities	75,755	81,637
Employee benefit plans	15,654	16,138
Reserves and accruals	5,692	9,844
Deferred income	5,573	4,127
Operating lease right-of-use liabilities	5,500	6,538
Currency translation losses of foreign subsidiaries	2,173	2,173
Local currency exchange losses of foreign subsidiaries	1,084	595
Foreign tax credit carryforward	5,578	2,538
Capital loss carryforwards	4,197	0
All other	11,016	7,148
Total deferred tax assets	56,467	49,101
Valuation allowance	(10,234)	(3,182)
Net deferred tax assets	$ 46,233	$ 45,919