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Goodwill and Other Intangible Assets - Changes in carrying amount of goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Goodwill and Other Intangible Assets    
Beginning Balance $ 504,853 $ 408,100
Acquisition activity 1,000 97,400
Foreign currency translation and other (13,200) (600)
Ending Balance 492,709 504,853
USG    
Goodwill and Other Intangible Assets    
Beginning Balance 366,500 271,900
Acquisition activity (4,700) 95,200
Foreign currency translation and other (13,100) (600)
Ending Balance 348,700 366,500
Test    
Goodwill and Other Intangible Assets    
Beginning Balance 34,100 34,100
Foreign currency translation and other (100)  
Ending Balance 34,000 34,100
A&D    
Goodwill and Other Intangible Assets    
Beginning Balance 104,300 102,100
Acquisition activity 5,700 2,200
Ending Balance $ 110,000 $ 104,300