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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) $ in Thousands	9 Months Ended
	Jun. 30, 2023 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Balance as of September 30, 2022	$ 890,802
Effect of foreign currency translation	14,108
Balance as of June 30, 2023	$ 904,910

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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