Goodwill and Other Identifiable Intangible Assets, Net (Additional Information) (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2023 USD ($) segment	Sep. 30, 2022 USD ($)
Goodwill [Line Items]
Number of Reportable Segments | segment	2
Goodwill	$ 341,862	$ 340,477
Market Capitalization		852,000
Enterprise Routers
Goodwill [Line Items]
Goodwill		32,700
Console Servers
Goodwill [Line Items]
Goodwill		57,100
OEM Solutions
Goodwill [Line Items]
Goodwill		63,700
Infrastructure Mgmt.
Goodwill [Line Items]
Goodwill		20,400
SmartSense
Goodwill [Line Items]
Goodwill		49,500
Ventus
Goodwill [Line Items]
Goodwill		118,300
IoT Products & Services Segment
Goodwill [Line Items]
Goodwill	174,200	172,931
IoT Solutions Segment
Goodwill [Line Items]
Goodwill	$ 167,662	$ 167,546
Control Premium | Minimum
Goodwill [Line Items]
Goodwill Valuation Implied Control Premium		(5.60%)
Control Premium | Maximum
Goodwill [Line Items]
Goodwill Valuation Implied Control Premium		7.90%