Income Taxes - Deferreds (Details) - Noncurrent - USD ($) $ in Millions	Sep. 30, 2022	Sep. 30, 2021
Assets
Income Tax Disclosure
Deferred tax assets, share-based compensation cost	$ 1.6	$ 0.1
Deferred tax assets, employee compensation	2.6	0.0
Deferred tax assets, inventory	4.1	0.0
Deferred tax assets, accrued liabilities	4.7	2.5
Deferred Tax Assets, Leasing Arrangements	0.0	0.0
Deferred Tax Liabilities, Leasing Arrangements	1.7	0.0
Deferred tax liabilities, property, plant and equipment	0.0	0.0
Deferred tax assets (liabilities), intangible assets	0.0	1.0
Deferred tax liabilities, investment in noncontrolled affiliates	0.0	0.0
Deferred tax assets, net	14.7	3.6
Liability
Income Tax Disclosure
Deferred tax assets, share-based compensation cost	0.0	0.0
Deferred tax assets, employee compensation	0.0	0.0
Deferred tax assets, inventory	0.0	0.0
Deferred tax assets, accrued liabilities	0.0	0.0
Deferred Tax Assets, Leasing Arrangements	(1.7)
Deferred Tax Liabilities, Leasing Arrangements	0.0
Deferred tax liabilities, property, plant and equipment	(0.4)	0.0
Deferred tax assets (liabilities), intangible assets	(14.8)	0.0
Deferred tax liabilities, investment in noncontrolled affiliates	0.0	(11.2)
Deferred tax liabilities, net	(16.9)	(11.2)
Net Asset (Liability)
Income Tax Disclosure
Deferred tax assets, share-based compensation cost	1.6	0.1
Deferred tax assets, employee compensation	2.6	0.0
Deferred tax assets, inventory	4.1	0.0
Deferred tax assets, accrued liabilities	4.7	2.5
Deferred Tax Assets, Leasing Arrangements	(1.7)
Deferred Tax Liabilities, Leasing Arrangements	1.7
Deferred tax liabilities, property, plant and equipment	(0.4)	0.0
Deferred tax assets (liabilities), intangible assets	(14.8)	1.0
Deferred tax liabilities, investment in noncontrolled affiliates	0.0	(11.2)
Deferred tax liabilities, net	$ (2.2)	$ (7.6)