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Segment Information (Net Sales by Geographic Region) (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Net sales to unaffiliated customers and long-lived assets by geographic region
Net sales	$ 2,975,851	$ 2,788,322	$ 2,566,863
Americas
Net sales to unaffiliated customers and long-lived assets by geographic region
Net sales	1,286,527	1,190,216	1,118,324
EMEA
Net sales to unaffiliated customers and long-lived assets by geographic region
Net sales	941,211	861,731	820,347
Asia Pacific
Net sales to unaffiliated customers and long-lived assets by geographic region
Net sales	$ 748,113	$ 736,375	$ 628,192
Geographic Concentration | Consolidated net sales | United States
Net sales to unaffiliated customers and long-lived assets by geographic region
Concentration credit risk by major customer (as a percent)	36.00%	36.00%	37.00%
Geographic Concentration | Consolidated net sales | Germany
Net sales to unaffiliated customers and long-lived assets by geographic region
Concentration credit risk by major customer (as a percent)	15.00%	18.00%	16.00%
Geographic Concentration | Consolidated net sales | China
Net sales to unaffiliated customers and long-lived assets by geographic region
Concentration credit risk by major customer (as a percent)		10.00%
Geographic Concentration | Consolidated net sales | Switzerland
Net sales to unaffiliated customers and long-lived assets by geographic region
Concentration credit risk by major customer (as a percent)	4.00%	3.00%	2.00%

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