Goodwill and Intangible Assets (Details) - USD ($)	12 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2021
Finite-Lived Intangible Assets [Line Items]
Gain (Loss) on Disposition of Property Plant Equipment	$ 232,000	$ 375,000	$ 2,638,000
Goodwill, Impaired, Accumulated Impairment Loss	113,174,000	113,174,000
Goodwill [Roll Forward]
Opening Balance	648,849,000	331,176,000
Currency Translation, Goodwill	(3,836,000)	(10,684,000)
Closing Balance	644,629,000	648,849,000	331,176,000
Gross Carrying  Amount	488,350,000	491,590,000
Indefinite-lived trademark	46,338,000	46,721,000
Accumulated Amortization	(125,813,000)	(100,802,000)
Net	362,537,000	390,788,000
Amortization of intangibles	26,001,000	25,283,000	$ 12,623,000
Dorner
Goodwill [Roll Forward]
Opening Balance	287,141,000
Closing Balance	287,141,000	287,141,000
Garvey
Goodwill [Roll Forward]
Closing Balance	41,216,000
Trademark
Goodwill [Roll Forward]
Gross Carrying  Amount	19,478,000	19,529,000
Accumulated Amortization	(6,315,000)	(5,032,000)
Net	13,163,000	14,497,000
Customer relationships
Goodwill [Roll Forward]
Gross Carrying  Amount	322,658,000	325,431,000
Accumulated Amortization	(88,685,000)	(71,202,000)
Net	233,973,000	254,229,000
Acquired technology
Goodwill [Roll Forward]
Gross Carrying  Amount	96,291,000	96,433,000
Accumulated Amortization	(27,945,000)	(21,789,000)
Net	68,346,000	74,644,000
Other
Goodwill [Roll Forward]
Gross Carrying  Amount	3,585,000	3,476,000
Accumulated Amortization	(2,868,000)	(2,779,000)
Net	717,000	$ 697,000
Garvey
Goodwill [Roll Forward]
Payments for (Proceeds from) Previous Acquisition	1,616,000
Business Combination, Contingent Consideration, Liability, Noncurrent	$ (2,000,000)