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Goodwill and Other Identifiable Intangible Assets, Net (Additional Information) (Details)
$ in Thousands
6 Months Ended
Mar. 31, 2024
USD ($)
segment
Sep. 30, 2023
USD ($)
Goodwill [Line Items]    
Number of Reportable Segments | segment 2  
Goodwill $ 342,022 $ 341,593
Enterprise Routers    
Goodwill [Line Items]    
Goodwill 32,700  
Console Servers    
Goodwill [Line Items]    
Goodwill 57,100  
OEM Solutions    
Goodwill [Line Items]    
Goodwill 64,600  
Infrastructure Mgmt.    
Goodwill [Line Items]    
Goodwill 20,400  
SmartSense    
Goodwill [Line Items]    
Goodwill 48,900  
Ventus    
Goodwill [Line Items]    
Goodwill 118,600  
IoT Products & Services Segment    
Goodwill [Line Items]    
Goodwill 174,357 173,957
IoT Solutions Segment    
Goodwill [Line Items]    
Goodwill $ 167,665 $ 167,636