Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Mar. 31, 2022	Mar. 31, 2021
Income Tax Disclosure [Abstract]
Foreign withholding taxes	$ 19,353	$ 21,711
Property, plant and equipment	10,567	8,726
Undistributed earnings	3,004	2,947
Operating lease right-of-use assets	6,621	6,856
Goodwill and other intangible assets	34,584	35,059
Local currency exchange gains of foreign subsidiaries	4,094	0
All other	3,414	4,876
Total deferred tax liabilities	81,637	80,175
Employee benefit plans	16,138	17,199
Reserves and accruals	9,844	7,603
Deferred income	4,127	3,521
Operating lease right-of-use liabilities	6,538	6,718
Currency translation losses of foreign subsidiaries	2,173	2,173
Local currency exchange losses of foreign subsidiaries	595	450
Interest rate swap	302	5,178
All other	9,384	8,568
Total deferred tax assets	49,101	51,410
Valuation allowance	(3,182)	(4,080)
Net deferred tax assets	$ 45,919	$ 47,330