Divestitures - Components of Amounts Reflected in the Consolidated Statements of Operations Related to Discontinued Operations (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Income from discontinued operations (net of income tax expense)	$ 21.0	$ 27.9
Discontinued Operations, Held-for-sale | Batesville
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net revenue	156.0	162.5
Cost of goods sold	103.7	107.0
Gross profit	52.3	55.5
Operating expenses	19.6	16.1
Other expense, net	1.3	1.5
Income from discontinued operations before income taxes	31.4	37.9
Income tax expense	10.4	10.0
Income from discontinued operations (net of income tax expense)	$ 21.0	$ 27.9