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Segment Information - Net Sales and Long-Lived Assets by Geographic Region (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Mar. 31, 2018
Net sales to unaffiliated customers and long-lived assets by geographic region          
Net sales $ 864,388 $ 812,021 $ 2,164,014 $ 1,974,437  
Property, plant and equipment, net 81,577   81,577   $ 86,304
Americas          
Net sales to unaffiliated customers and long-lived assets by geographic region          
Net sales 385,598 380,130 946,240 887,523  
Property, plant and equipment, net 31,178   31,178   35,404
EMEA          
Net sales to unaffiliated customers and long-lived assets by geographic region          
Net sales 269,082 253,767 648,014 622,681  
Property, plant and equipment, net 4,694   4,694   4,690
Asia Pacific          
Net sales to unaffiliated customers and long-lived assets by geographic region          
Net sales 209,708 $ 178,124 569,760 $ 464,233  
Property, plant and equipment, net $ 45,705   $ 45,705   $ 46,210