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Goodwill and other Identifiable Intangible Assets (Goodwill) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Goodwill [Line Items]    
Goodwill $ 341,593 $ 340,477
Foreign currency translation adjustment 1,181 1,116
Goodwill 342,774 341,593
IoT Solutions    
Goodwill [Line Items]    
Goodwill 167,636 167,546
Foreign currency translation adjustment 45 90
Goodwill 167,681 167,636
IoT Products and Services    
Goodwill [Line Items]    
Goodwill 173,957 172,931
Foreign currency translation adjustment 1,136 1,026
Goodwill $ 175,093 $ 173,957