Goodwill and Other Identifiable Intangible Assets, Net (Additional Information) (Details) $ in Thousands	9 Months Ended
	Jun. 30, 2022 USD ($) segment	Sep. 30, 2021 USD ($)
Goodwill [Line Items]
Number of Reportable Segments | segment	2
Goodwill	$ 341,708	$ 225,522
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	173,894	175,180
IoT Solutions Segment
Goodwill [Line Items]
Goodwill	$ 167,814	$ 50,342
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%