Pension and Other Post-retirement Benefit Plans - Summary of Change in Benefit Obligation (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018	Mar. 31, 2020	Mar. 31, 2019
Funded status at end of year
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months				$ 6,486
Defined Benefit Plan, Expected Future Benefit Payment, Year Two				7,936
Defined Benefit Plan, Expected Future Benefit Payment, Year Three				7,391
Defined Benefit Plan, Expected Future Benefit Payment, Year Four				9,187
Defined Benefit Plan, Expected Future Benefit Payment, Year Five				9,894
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter				52,767
Pension
Defined Benefit Plan Disclosure [Line Items]
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, before Tax	$ (588)	$ (1,684)	$ 184
Change in Benefit Obligation
Benefit obligation at beginning of the year	148,440	161,673
Service cost	4,562	4,716	4,585
Interest cost	1,830	1,815	1,750
Plan participants’ contributions	0	0
Defined Benefit Plan, Benefit Obligation, Increase (Decrease) for Plan Amendment	792	0
Actuarial (gain) loss	(1,860)	1,146
Foreign currency exchange rate change	(1,684)	(8,402)
Gross benefits paid	(5,153)	(1,097)
Curtailments and settlements	(6,086)	(11,411)
Defined Benefit Plan, Benefit Obligation, Increase (Decrease) for Other Change	(13)	0
Benefit obligation at end of year	140,828	148,440	161,673
Change in Plan Assets
Fair value of plan assets at beginning of year	63,902	71,491
Actual return on plan assets	(543)	1,165
Foreign currency exchange rate changes	487	(3,161)
Employer contributions	(10,208)	(7,882)
Settlements	(7,700)	(12,379)
Plan participants’ contributions	0	0
Gross benefits paid	5,153	1,096
Fair value of plan assets at end of year	61,201	63,902	71,491
Funded status at end of year
Fair value of plan assets	63,902	63,902	71,491	61,201	$ 63,902
Benefit obligations	(148,440)	(148,440)	(161,673)	(140,828)	(148,440)
Amount recognized at end of year				(79,627)	(84,538)
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months				6,438
Defined Benefit Plan, Expected Future Benefit Payment, Year Two				7,893
Defined Benefit Plan, Expected Future Benefit Payment, Year Three				7,353
Defined Benefit Plan, Expected Future Benefit Payment, Year Four				9,154
Defined Benefit Plan, Expected Future Benefit Payment, Year Five				9,866
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter				52,682
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, before Tax	(779)	(511)	(322)
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), before Tax	792	0	0
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax	83	87	87
Other Comprehensive (Income) Loss, Defined Benefit Plan, before Tax, after Reclassification Adjustment, Attributable to Parent	518	1,086	(593)
Defined Benefit Plan, Amount Recognized in Net Periodic Benefit Cost (Credit) and Other Comprehensive (Income) Loss, before Tax	7,473	6,178	4,195
Other Benefits
Defined Benefit Plan Disclosure [Line Items]
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, before Tax	2	81	(64)
Change in Benefit Obligation
Benefit obligation at beginning of the year	312	367
Service cost	0	0	0
Interest cost	9	11	12
Plan participants’ contributions	553	641
Defined Benefit Plan, Benefit Obligation, Increase (Decrease) for Plan Amendment	0	0
Actuarial (gain) loss	(2)	(81)
Foreign currency exchange rate change	0	0
Gross benefits paid	(594)	(626)
Curtailments and settlements	0	0
Defined Benefit Plan, Benefit Obligation, Increase (Decrease) for Other Change	0	0
Benefit obligation at end of year	278	312	367
Change in Plan Assets
Fair value of plan assets at beginning of year	0	0
Actual return on plan assets	0	0
Foreign currency exchange rate changes	0	0
Employer contributions	(41)	(15)
Settlements	0	0
Plan participants’ contributions	553	641
Gross benefits paid	594	626
Fair value of plan assets at end of year	0	0	0
Funded status at end of year
Fair value of plan assets	0	0	0	0	0
Benefit obligations	(312)	(312)	(367)	(278)	(312)
Amount recognized at end of year				(278)	$ (312)
Defined Benefit Plan, Expected Future Benefit Payment, Next Twelve Months				48
Defined Benefit Plan, Expected Future Benefit Payment, Year Two				43
Defined Benefit Plan, Expected Future Benefit Payment, Year Three				38
Defined Benefit Plan, Expected Future Benefit Payment, Year Four				33
Defined Benefit Plan, Expected Future Benefit Payment, Year Five				28
Defined Benefit Plan, Expected Future Benefit Payment, Five Fiscal Years Thereafter				$ 85
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, before Tax	148	167	191
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), before Tax	0	0	0
Other Comprehensive (Income) Loss, Defined Benefit Plan, Prior Service Cost (Credit), Reclassification Adjustment from AOCI, before Tax	0	0	0
Other Comprehensive (Income) Loss, Defined Benefit Plan, before Tax, after Reclassification Adjustment, Attributable to Parent	146	86	255
Defined Benefit Plan, Amount Recognized in Net Periodic Benefit Cost (Credit) and Other Comprehensive (Income) Loss, before Tax	$ 7	$ (70)	$ 76