Goodwill and Other Intangible Assets - Intangible Assets, Net - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]
Impairment of long-lived asset			$ 0
Amortization expense related to intangible assets	$ 2,900,000	$ 5,100,000	12,000,000.0	$ 15,200,000
Expected amortization of intangible assets for remainder of 2022	$ 2,500,000		$ 2,500,000