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Acquisitions (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 09, 2021
Jul. 29, 2021
Sep. 30, 2021
Sep. 30, 2019
Sep. 30, 2020
Business Acquisition [Line Items]          
Payments to acquire businesses net of cash acquired     $ 168,903 $ 95,840  
Goodwill     504,853 $ 390,300 $ 408,063
Goodwill, tax deductible expenses     $ 13,746   $ 7,878
Altanova Group          
Business Acquisition [Line Items]          
Payments to acquire businesses net of cash acquired   $ 115,000      
Goodwill   71,900      
Business combination contingent consideration liability   6,900      
Business combination recognized identifiable assets acquired and liabilities assumed, property, plant and equipment   1,200      
Business combination recognized identifiable assets acquired and liabilities assumed deferred tax liabilities   16,400      
Business combination recognized identifiable assets acquired and liabilities assumed current assets receivables   9,700      
Business combination recognized identifiable assets acquired and liabilities assumed inventory   5,600      
Business combination recognized identifiable assets acquired and liabilities assumed other noncurrent assets   8,000      
Business combination recognized identifiable assets acquired and liabilities assumed current liabilities accounts payable   $ 12,800      
Altanova Group | Customer relationships          
Business Acquisition [Line Items]          
Acquired finite-lived intangible assets weighted average useful life   20 years      
Business combination recognized identifiable assets acquired and liabilities assumed indefinite-lived intangible assets   $ 50,500      
Altanova Group | Trade Names          
Business Acquisition [Line Items]          
Acquired finite-lived intangible assets weighted average useful life   10 years      
Business combination recognized identifiable assets acquired and liabilities assumed indefinite-lived intangible assets   $ 4,300      
Phenix Technologies          
Business Acquisition [Line Items]          
Payments to acquire businesses net of cash acquired $ 47,200        
Goodwill 23,200        
Business combination recognized identifiable assets acquired and liabilities assumed, property, plant and equipment 8,000        
Business combination recognized identifiable assets acquired and liabilities assumed current assets receivables 2,600        
Business combination recognized identifiable assets acquired and liabilities assumed inventory 5,800        
Business combination recognized identifiable assets acquired and liabilities assumed current liabilities accounts payable 6,200        
Goodwill, tax deductible expenses $ 20,000        
Phenix Technologies | Customer relationships          
Business Acquisition [Line Items]          
Acquired finite-lived intangible assets weighted average useful life 13 years        
Business combination recognized identifiable assets acquired and liabilities assumed indefinite-lived intangible assets $ 9,600        
Phenix Technologies | Customer Relationships and Developed Technology          
Business Acquisition [Line Items]          
Business combination recognized identifiable assets acquired and liabilities assumed indefinite-lived intangible assets 500        
Phenix Technologies | Trade Names          
Business Acquisition [Line Items]          
Business combination recognized identifiable assets acquired and liabilities assumed indefinite-lived intangible assets $ 3,700