Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Mar. 31, 2021	Mar. 31, 2020
Income Tax Disclosure [Abstract]
Foreign withholding taxes	$ 21,711	$ 19,870
Property, plant and equipment	8,726	10,078
Undistributed earnings	2,947	7,298
Operating lease right-of-use liabilities	6,856	9,877
Goodwill and other intangible assets	35,059	23,435
All other	4,876	4,813
Total deferred tax liabilities	80,175	75,371
Employee benefit plans	17,199	22,773
Reserves and accruals	7,603	7,708
Deferred income	3,521	4,833
Operating lease right-of-use liabilities	6,718	9,650
Currency translation losses of foreign subsidiaries	2,173	2,173
Local currency exchange losses of foreign subsidiaries	450	8,360
Interest rate swap	5,178	7,284
All other	8,568	7,464
Total deferred tax assets	51,410	70,245
Valuation allowance	(4,080)	(3,394)
Net deferred tax assets	$ 47,330	$ 66,851