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Goodwill and Other Intangible Assets - Changes in carrying amount of goodwill (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Goodwill and Other Intangible Assets    
Beginning Balance $ 503,177 $ 492,700
Acquisition activity 30,900 5,600
Foreign currency translation and other 5,800 4,900
Ending Balance 539,899 503,177
Test    
Goodwill and Other Intangible Assets    
Beginning Balance 34,000 34,000
Acquisition activity 30,900  
Foreign currency translation and other 2,500  
Ending Balance 67,400 34,000
A&D    
Goodwill and Other Intangible Assets    
Beginning Balance 115,600 110,000
Acquisition activity   5,600
Ending Balance 115,600 115,600
USG    
Goodwill and Other Intangible Assets    
Beginning Balance 353,600 348,700
Foreign currency translation and other 3,300 4,900
Ending Balance $ 356,900 $ 353,600