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Goodwill and other Identifiable Intangible Assets (Details)
$ in Thousands
 12 Months Ended
Sep. 30, 2025
USD ($)
segment
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount $ 556,364 $ 436,311  
Accumulated amortization (205,676) (183,402)  
Net 350,688 252,909  
Goodwill $ 392,872 342,774 $ 341,593
Number of operating segments | segment 2    
Number of reportable segments | segment 2    
Number of Reporting Units | segment 2    
IoT Solutions      
Finite-Lived Intangible Assets [Line Items]      
Goodwill $ 217,606 167,681 167,636
IoT Products & Services      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 175,266 175,093 $ 173,957
Purchased and Core Technology      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 100,986 85,041  
Accumulated amortization (67,533) (63,654)  
Net 33,453 21,387  
License Agreements      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 112 112  
Accumulated amortization (112) (112)  
Net 0 0  
Patents and Trademarks      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 45,468 40,335  
Accumulated amortization (24,870) (22,047)  
Net 20,598 18,288  
Customer Relationships      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 408,198 309,223  
Accumulated amortization (111,561) (95,989)  
Net 296,637 213,234  
Non-compete Agreements      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 600 600  
Accumulated amortization (600) (600)  
Net 0 0  
Order backlog      
Finite-Lived Intangible Assets [Line Items]      
Gross carrying amount 1,000 1,000  
Accumulated amortization (1,000) (1,000)  
Net $ 0 $ 0