Pension and Other Postretirement Benefits - Reconciliation of Benefit Obligations (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	$ 147,985	$ 154,511
Service cost	461	456
Interest cost	3,982	4,555
Actuarial losses (gains)	(206)	4,165
Settlements/special termination benefits	(2,574)	(5,070)
Effects of currency translation	(1,843)	(3,120)
Benefits paid	(7,618)	(7,512)
Benefit obligation, ending	140,187	147,985
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	96,147	100,765
Actual return on plan assets	1,044	4,921
Employer contributions	5,544	6,116
Plan settlements	(2,574)	(5,098)
Effects of currency translation	(2,122)	(3,045)
Benefits paid	(7,618)	(7,512)
Fair value of plan assets, ending	90,421	96,147
Funded status of the plan	(49,766)	(51,838)
U.S. Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	82,099	88,283
Service cost	250	250
Interest cost	2,562	3,028
Actuarial losses (gains)	3,740	(57)
Settlements/special termination benefits	(2,574)	(4,630)
Effects of currency translation	0	0
Benefits paid	(5,081)	(4,775)
Benefit obligation, ending	80,996	82,099
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	32,568	37,659
Actual return on plan assets	(590)	738
Employer contributions	4,025	3,576
Plan settlements	(2,574)	(4,630)
Effects of currency translation	0	0
Benefits paid	(5,081)	(4,775)
Fair value of plan assets, ending	28,348	32,568
Funded status of the plan	(52,648)	(49,531)
Non-U.S. Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	65,886	66,228
Service cost	211	206
Interest cost	1,420	1,527
Actuarial losses (gains)	(3,946)	4,222
Settlements/special termination benefits	0	(440)
Effects of currency translation	(1,843)	(3,120)
Benefits paid	(2,537)	(2,737)
Benefit obligation, ending	59,191	65,886
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	63,579	63,106
Actual return on plan assets	1,634	4,183
Employer contributions	1,519	2,540
Plan settlements	0	(468)
Effects of currency translation	(2,122)	(3,045)
Benefits paid	(2,537)	(2,737)
Fair value of plan assets, ending	62,073	63,579
Funded status of the plan	$ 2,882	$ (2,307)