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Goodwill and Other Intangible Assets - Changes in carrying amount of goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Goodwill and Other Intangible Assets    
Beginning Balance $ 492,709 $ 504,900
Acquisition activity 5,600 1,000
Foreign currency translation and other 4,900 (13,200)
Ending Balance 503,177 492,709
A&D    
Goodwill and Other Intangible Assets    
Beginning Balance 110,000 104,300
Acquisition activity 5,600 5,700
Ending Balance 115,600 110,000
Test    
Goodwill and Other Intangible Assets    
Beginning Balance 34,000 34,100
Foreign currency translation and other   (100)
Ending Balance 34,000 34,000
USG    
Goodwill and Other Intangible Assets    
Beginning Balance 348,700 366,500
Acquisition activity   (4,700)
Foreign currency translation and other 4,900 (13,100)
Ending Balance $ 353,600 $ 348,700