Intangible Assets, Goodwill, Acquisitions, and Divestitures - Additional Information (Details) $ in Millions		3 Months Ended		6 Months Ended
	Jan. 12, 2024 USD ($) Subsidiary	Mar. 31, 2025 USD ($)	Mar. 31, 2024 USD ($)	Mar. 31, 2025 USD ($)	Mar. 31, 2024 USD ($)
Finite Lived Intangible Assets [Line Items]
Amortization of intangible assets		$ 7.1	$ 8.7	$ 15.2	$ 18.8
Number of sale of fully owned subsidiaries | Subsidiary	1
Cash consideration	$ 51.0			0.0	51.6
Intangible assets acquired		$ 0.0	0.0	$ 0.0	0.0
Selling, General and Administrative Expenses [Member]
Finite Lived Intangible Assets [Line Items]
Gain on sale of fully owned subsidiaries			$ 43.6		$ 43.6