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Goodwill and Other Identifiable Intangible Assets, Net (Goodwill Rollforward) (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2025 USD ($)
Goodwill [Roll Forward]
Beginning balance	$ 342,774
Foreign currency translation adjustment	(1,105)
Ending balance	341,669
IoT Products & Services Segment
Goodwill [Roll Forward]
Beginning balance	175,093
Foreign currency translation adjustment	(525)
Ending balance	174,568
IoT Solutions Segment
Goodwill [Roll Forward]
Beginning balance	167,681
Foreign currency translation adjustment	(580)
Ending balance	$ 167,101

X

- Definition

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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- Definition

Amount of foreign currency translation gain (loss) which increases (decreases) asset representing future economic benefit 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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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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