Goodwill and other Identifiable Intangible Assets (Details) $ in Thousands	12 Months Ended
	Sep. 30, 2022 USD ($) segment	Jun. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($)
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 435,651		$ 224,643
Accumulated amortization	(133,587)		(106,614)
Net	302,064		118,029
Goodwill	$ 340,477		225,522	$ 210,135
Number of operating segments | segment	6
Number of reportable segments | segment	2
Market Capitalization		$ 852,000
IoT Solutions
Finite-Lived Intangible Assets [Line Items]
Goodwill	$ 167,546		50,342	49,770
Number of operating segments | segment	2
IoT Products & Services
Finite-Lived Intangible Assets [Line Items]
Goodwill	$ 172,931		175,180	$ 160,365
Number of operating segments | segment	4
Enterpise Routers
Finite-Lived Intangible Assets [Line Items]
Goodwill		32,700
OEM Solutions
Finite-Lived Intangible Assets [Line Items]
Goodwill		63,700
Console Servers
Finite-Lived Intangible Assets [Line Items]
Goodwill		57,100
Infrastructure Mgmt.
Finite-Lived Intangible Assets [Line Items]
Goodwill		20,400
Ventus
Finite-Lived Intangible Assets [Line Items]
Goodwill		118,300
SmartSense
Finite-Lived Intangible Assets [Line Items]
Goodwill		$ 49,500
Measurement Input, Control Premium [Member] | Maximum
Finite-Lived Intangible Assets [Line Items]
Goodwill Valuation Implied Control Premium		7.90%
Measurement Input, Control Premium [Member] | Minimum
Finite-Lived Intangible Assets [Line Items]
Goodwill Valuation Implied Control Premium		(5.60%)
Purchased and Core Technology
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 85,016		69,162
Accumulated amortization	(55,854)		(50,701)
Net	29,162		18,461
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	39,711		23,491
Accumulated amortization	(17,666)		(14,978)
Net	22,045		8,513
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	309,212		130,278
Accumulated amortization	(58,355)		(39,973)
Net	250,857		90,305
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)		(250)
Net	$ 0		$ 750