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Segment Information (Net Sales by Geographic Region) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Net sales to unaffiliated customers and long-lived assets by geographic region      
Net sales $ 2,566,863 $ 2,221,427 $ 2,018,100
Americas      
Net sales to unaffiliated customers and long-lived assets by geographic region      
Net sales 1,118,324 963,674 881,379
EMEA      
Net sales to unaffiliated customers and long-lived assets by geographic region      
Net sales 820,347 746,898 645,694
Asia Pacific      
Net sales to unaffiliated customers and long-lived assets by geographic region      
Net sales $ 628,192 $ 510,855 $ 491,027
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) 37.00% 37.00% 38.00%
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) 16.00% 17.00%  
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) 2.00% 2.00% 2.00%