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Goodwill and Intangible Assets (Details) - USD ($)
3 Months Ended 6 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Mar. 31, 2022
Dec. 01, 2021
Finite-Lived Intangible Assets [Line Items]            
Amortization of Intangible Assets $ 6,447,000 $ 6,285,000 $ 12,982,000 $ 12,394,000    
Goodwill [Roll Forward]            
Balance at April 1, 2022     648,849,000      
Currency translation     (20,615,000)      
Balance at September 30, 2022 627,850,000   627,850,000      
Gross Carrying Amount 472,646,000   472,646,000   $ 491,590,000  
Accumulated Amortization (107,440,000)   (107,440,000)   (100,802,000)  
Net 365,206,000   365,206,000   390,788,000  
Indefinite-Lived Trademarks 44,558,000   44,558,000   46,721,000  
Duff Norton Group [Member]            
Goodwill [Roll Forward]            
Balance at April 1, 2022     9,699,000      
Balance at September 30, 2022 9,699,000   9,699,000      
Trademark            
Goodwill [Roll Forward]            
Gross Carrying Amount 18,978,000   18,978,000   19,529,000  
Accumulated Amortization (5,297,000)   (5,297,000)   (5,032,000)  
Net 13,681,000   13,681,000   14,497,000  
Customer relationships            
Goodwill [Roll Forward]            
Gross Carrying Amount 309,775,000   309,775,000   325,431,000  
Accumulated Amortization (74,757,000)   (74,757,000)   (71,202,000)  
Net 235,018,000   235,018,000   254,229,000  
Unpatented Technology [Member]            
Goodwill [Roll Forward]            
Gross Carrying Amount 96,107,000   96,107,000   96,433,000  
Accumulated Amortization (24,759,000)   (24,759,000)   (21,789,000)  
Net 71,348,000   71,348,000   74,644,000  
Other            
Goodwill [Roll Forward]            
Gross Carrying Amount 3,228,000   3,228,000   3,476,000  
Accumulated Amortization (2,627,000)   (2,627,000)   (2,779,000)  
Net 601,000   601,000   $ 697,000  
Garvey            
Goodwill [Roll Forward]            
Payments for (Proceeds from) Previous Acquisition $ 1,616,000   $ 384,000      
Business Combination, Contingent Consideration, Liability, Noncurrent           $ (2,000,000)