Restructuring, Exit and Other Charges - Acquisition and Non-Acquisition Related Restructuring Reserve (Details) - Non-Acquisition Related Restructuring Plans - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Restructuring Reserve [Roll Forward]
Beginning balance	$ 2,952	$ 2,909	$ 2,812
Accrued	10,797	8,193	5,202
Costs incurred	(10,174)	(7,979)	(5,423)
Foreign currency impact and other	(250)	(171)	318
Ending balance	3,325	2,952	2,909
Employee Severance
Restructuring Reserve [Roll Forward]
Beginning balance	2,356	2,893	2,668
Accrued	10,395	6,554	4,757
Costs incurred	(9,179)	(6,893)	(4,849)
Foreign currency impact and other	(247)	(198)	317
Ending balance	3,325	2,356	2,893
Other
Restructuring Reserve [Roll Forward]
Beginning balance	596	16	144
Accrued	402	1,639	445
Costs incurred	(995)	(1,086)	(574)
Foreign currency impact and other	(3)	27	1
Ending balance	$ 0	$ 596	$ 16