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Goodwill and Intangible Assets (Details) - USD ($)
3 Months Ended 9 Months Ended
Dec. 31, 2022
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2022
Dec. 31, 2021
Mar. 31, 2022
Dec. 01, 2021
Finite-Lived Intangible Assets [Line Items]              
Amortization of Intangible Assets $ 6,459,000   $ 6,254,000 $ 19,442,000 $ 18,648,000    
Goodwill [Roll Forward]              
Balance at April 1, 2022       648,849,000      
Currency translation       (6,035,000)      
Balance at December 31, 2022 642,430,000     642,430,000      
Gross Carrying Amount 486,302,000     486,302,000   $ 491,590,000  
Accumulated Amortization (118,643,000)     (118,643,000)   (100,802,000)  
Net 367,659,000     367,659,000   390,788,000  
Indefinite-Lived Trademarks 46,100,000     46,100,000   46,721,000  
Duff Norton Group [Member]              
Goodwill [Roll Forward]              
Balance at April 1, 2022       9,699,000      
Balance at December 31, 2022 9,699,000     9,699,000      
Trademark              
Goodwill [Roll Forward]              
Gross Carrying Amount 19,406,000     19,406,000   19,529,000  
Accumulated Amortization (5,926,000)     (5,926,000)   (5,032,000)  
Net 13,480,000     13,480,000   14,497,000  
Customer relationships              
Goodwill [Roll Forward]              
Gross Carrying Amount 320,938,000     320,938,000   325,431,000  
Accumulated Amortization (83,427,000)     (83,427,000)   (71,202,000)  
Net 237,511,000     237,511,000   254,229,000  
Unpatented Technology [Member]              
Goodwill [Roll Forward]              
Gross Carrying Amount 96,339,000     96,339,000   96,433,000  
Accumulated Amortization (26,387,000)     (26,387,000)   (21,789,000)  
Net 69,952,000     69,952,000   74,644,000  
Other              
Goodwill [Roll Forward]              
Gross Carrying Amount 3,519,000     3,519,000   3,476,000  
Accumulated Amortization (2,903,000)     (2,903,000)   (2,779,000)  
Net 616,000     616,000   $ 697,000  
Garvey              
Goodwill [Roll Forward]              
Payments for (Proceeds from) Previous Acquisition $ 1,616,000 $ 1,616,000   $ 384,000      
Business Combination, Contingent Consideration, Liability, Noncurrent             $ (2,000,000)