Income Taxes (Schedule of Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Mar. 31, 2020	Mar. 31, 2019
Income Tax Disclosure [Abstract]
Foreign withholding taxes	$ 19,870	$ 20,659
Property, plant and equipment	10,078	4,627
Undistributed earnings	7,298	6,579
Operating lease right-of-use liabilities	9,877	0
Goodwill and other intangible assets	23,435	19,529
All other	4,813	2,461
Total deferred tax liabilities	75,371	53,855
Employee benefit plans	22,773	20,467
Reserves and accruals	7,708	7,898
Deferred income	4,833	3,829
Operating lease right-of-use liabilities	9,650	0
Currency translation losses of foreign subsidiaries	2,173	1,993
Local currency exchange losses of foreign subsidiaries	8,360	1,252
Interest rate swap	7,284	248
All other	7,464	4,739
Total deferred tax assets	70,245	40,426
Valuation allowance	(3,394)	(1,798)
Net deferred tax assets	$ 66,851	$ 38,628