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Goodwill (Schedule) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Goodwill [Roll Forward]    
Goodwill, beginning of the period $ 407,376 $ 397,205
Business combinations and divestitures 76,156 10,349
Measurement period adjustments 379 (3,216)
Foreign currency translation (10,339) 3,038
Goodwill, end of the period 473,572 407,376
Integrated Solutions and Services    
Goodwill [Roll Forward]    
Goodwill, beginning of the period   224,381
Business combinations and divestitures   10,349
Measurement period adjustments   (3,216)
Foreign currency translation   2,316
Applied Product Technologies    
Goodwill [Roll Forward]    
Goodwill, beginning of the period   172,824
Business combinations and divestitures   0
Measurement period adjustments   0
Foreign currency translation   722
Operating Segments [Member] | Integrated Solutions and Services    
Goodwill [Roll Forward]    
Goodwill, beginning of the period 233,830  
Business combinations and divestitures 76,190  
Measurement period adjustments 379  
Foreign currency translation (3,464)  
Goodwill, end of the period 306,935 233,830
Operating Segments [Member] | Applied Product Technologies    
Goodwill [Roll Forward]    
Goodwill, beginning of the period 173,546  
Business combinations and divestitures (34)  
Measurement period adjustments 0  
Foreign currency translation (6,875)  
Goodwill, end of the period $ 166,637 $ 173,546