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Acquisitions (Assets Acquired and Liabilities Assumed) (Details) - USD ($)
$ in Thousands
12 Months Ended
Nov. 01, 2021
Jul. 06, 2021
Mar. 26, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Business Acquisition [Line Items]            
Cash       $ 347,554 $ 19,108 $ 136,098
Goodwill       340,477 $ 225,522 $ 210,135
Ventus            
Business Acquisition [Line Items]            
Cash $ 350,000          
Cash 350,000          
Fair value of net tangible assets acquired 20,365          
Goodwill 118,635          
Total assets acquired and liabilities assumed 350,000          
Ctek            
Business Acquisition [Line Items]            
Cash   $ 12,012        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Contingent Liability   300   0    
Business Combination, Contingent Consideration, Liability   422        
Total consideration transferred   12,734        
Fair value of net tangible assets acquired   397        
Deferred tax liability on identifiable intangible assets   1,000        
Goodwill   4,867        
Total assets acquired and liabilities assumed   12,734        
Haxiot            
Business Acquisition [Line Items]            
Cash     $ 7,100      
Cash     7,096      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Contingent Liability     5,900 $ 0    
Total consideration transferred     12,996      
Fair value of net tangible assets acquired     86      
Deferred tax liability on identifiable intangible assets     1,145      
Goodwill     8,605      
Total assets acquired and liabilities assumed     12,996      
Customer Relationships | Ventus            
Business Acquisition [Line Items]            
Identifiable intangible assets 179,000          
Customer Relationships | Ctek            
Business Acquisition [Line Items]            
Identifiable intangible assets   5,100        
Customer Relationships | Haxiot            
Business Acquisition [Line Items]            
Identifiable intangible assets     3,900      
Trademarks | Ventus            
Business Acquisition [Line Items]            
Identifiable intangible assets 16,000          
Trademarks | Ctek            
Business Acquisition [Line Items]            
Identifiable intangible assets   70        
Trademarks | Haxiot            
Business Acquisition [Line Items]            
Identifiable intangible assets     500      
Purchased and Core Technology | Ventus            
Business Acquisition [Line Items]            
Identifiable intangible assets $ 16,000          
Purchased and Core Technology | Ctek            
Business Acquisition [Line Items]            
Identifiable intangible assets   $ 1,300        
Purchased and Core Technology | Haxiot            
Business Acquisition [Line Items]            
Identifiable intangible assets     $ 1,050