Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2022 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Balance as of September 30, 2022	$ 890,802
Effect of foreign currency translation	11,161
Balance as of December 31, 2022	$ 901,963

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.