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Goodwill and Intangible Assets (Narrative) (Details)
3 Months Ended 6 Months Ended
May 31, 2023
Sep. 30, 2023
USD ($)
Sep. 30, 2022
USD ($)
Sep. 30, 2023
USD ($)
Reporting_Unit
Sep. 30, 2022
USD ($)
Mar. 31, 2023
USD ($)
Goodwill [Line Items]            
Number of Reporting Units | Reporting_Unit       3    
Amortization of intangibles   $ 7,508,000 $ 6,447,000 $ 14,385,000 $ 12,982,000  
Goodwill   717,572,000   717,572,000   $ 644,629,000
Currency translation       (6,000,000)    
Finite-Lived Intangible Assets, Amortization Expense, Year Two   30,000,000   30,000,000    
Finite-Lived Intangible Assets, Amortization Expense, Year Three   30,000,000   30,000,000    
Finite-Lived Intangible Assets, Amortization Expense, Year Four   30,000,000   30,000,000    
Finite-Lived Intangible Assets, Amortization Expense, Year Five   30,000,000   $ 30,000,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life       16 years    
Indefinite-Lived Trademarks   45,878,000   $ 45,878,000   46,338,000
Goodwill, Impaired, Accumulated Impairment Loss   113,174,000   113,174,000   113,174,000
Finite-Lived Intangible Asset, Expected Amortization, Year One   30,000,000   30,000,000    
montratec            
Goodwill [Line Items]            
Goodwill   78,943,000   78,943,000    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 14 years          
Rest of Products [Member]            
Goodwill [Line Items]            
Goodwill   301,242,000   301,242,000   306,988,000
Duff Norton Group [Member]            
Goodwill [Line Items]            
Goodwill   9,699,000   9,699,000   9,699,000
Precision Conveyance            
Goodwill [Line Items]            
Goodwill   $ 406,631,000   $ 406,631,000   $ 327,942,000
Trademark            
Goodwill [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life       13 years    
Customer relationships            
Goodwill [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life       17 years    
Other Intangible Assets [Member]            
Goodwill [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life       5 years    
Technology-Based Intangible Assets [Member]            
Goodwill [Line Items]            
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life       15 years