Goodwill and Intangible Assets - Goodwill - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Customer Relationships | Operating Expenses
Goodwill [Line Items]
Amortization expense	$ 5.9	$ 11.5	$ 12.7
Technology and Patents | Cost of Revenues
Goodwill [Line Items]
Amortization expense	$ 0.4	$ 3.0	$ 7.5