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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]
Balance as of September 30, 2023			$ 900,342
Goodwill impairment	$ (252,096)	$ 0	(252,096)	$ 0
Effect of foreign currency translation			2,377
Balance as of March 31, 2024	$ 650,623		$ 650,623

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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