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Goodwill and Other Identifiable Intangible Assets, Net (Additional Information) (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2025 USD ($) segment	Sep. 30, 2024 USD ($)
Goodwill [Line Items]
Number of Reportable Segments | segment	2
Goodwill	$ 341,669	$ 342,774
IoT Products & Services Segment
Goodwill [Line Items]
Goodwill	174,568	175,093
IoT Solutions Segment
Goodwill [Line Items]
Goodwill	$ 167,101	$ 167,681

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Amount, after accumulated impairment loss, of asset representing future economic benefit arising from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized.

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