Pension and Other Postretirement Benefits - Reconciliation of Benefit Obligations (Details) - USD ($) $ in Thousands	5 Months Ended	7 Months Ended	12 Months Ended
	Aug. 31, 2020	Mar. 31, 2021	Mar. 31, 2022
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	$ 140,187	$ 150,335	$ 142,656
Service cost	176	249	389
Interest cost	1,595	1,561	2,654
Plan amendments	0	(62)
Actuarial (gains) losses	10,113	842	(6,617)
Plan settlements	(161)	(6,508)	(7,714)
Effects of currency translation	2,787	859	(1,971)
Benefits paid	(4,362)	(4,620)	(7,669)
Benefit obligation, ending	150,335	142,656	121,728
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	90,421	101,051	96,801
Actual return on plan assets	9,653	1,812	1,844
Employer contributions	2,121	3,731	5,382
Plan settlements	(161)	(6,508)	(7,714)
Effects of currency translation	3,378	1,335	(2,031)
Benefits paid	(4,361)	(4,620)	(7,669)
Fair value of plan assets, ending	101,051	96,801	86,613
Funded status of the plan	(49,284)	(45,855)	(35,115)
U.S. Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	80,996	86,605	76,223
Service cost	94	131	215
Interest cost	968	803	1,467
Plan amendments	0	0
Actuarial (gains) losses	6,863	(2,428)	(2,948)
Plan settlements	(161)	(6,080)	(7,600)
Effects of currency translation	0	0	0
Benefits paid	(2,155)	(2,808)	(4,560)
Benefit obligation, ending	86,605	76,223	62,797
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	28,348	31,461	27,109
Actual return on plan assets	4,068	1,996	806
Employer contributions	1,360	2,540	4,057
Plan settlements	(161)	(6,080)	(7,600)
Effects of currency translation	0	0	0
Benefits paid	(2,154)	(2,808)	(4,560)
Fair value of plan assets, ending	31,461	27,109	19,812
Funded status of the plan	(55,144)	(49,114)	(42,985)
Non-U.S. Plans
Defined Benefit Plan, Change in Benefit Obligation [Roll Forward]
Benefit obligation, beginning	59,191	63,730	66,433
Service cost	82	118	174
Interest cost	627	758	1,187
Plan amendments	0	(62)
Actuarial (gains) losses	3,250	3,270	(3,669)
Plan settlements	0	(428)	(114)
Effects of currency translation	2,787	859	(1,971)
Benefits paid	(2,207)	(1,812)	(3,109)
Benefit obligation, ending	63,730	66,433	58,931
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets, beginning	62,073	69,590	69,692
Actual return on plan assets	5,585	(184)	1,038
Employer contributions	761	1,191	1,325
Plan settlements	0	(428)	(114)
Effects of currency translation	3,378	1,335	(2,031)
Benefits paid	(2,207)	(1,812)	(3,109)
Fair value of plan assets, ending	69,590	69,692	66,801
Funded status of the plan	$ 5,860	$ 3,259	$ 7,870