Business Combinations and Divestitures (Details) - USD ($) $ in Millions			12 Months Ended
		Nov. 29, 2021	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Business Acquisition [Line Items]
Restructuring reserve			$ 21.4
Goodwill			1,338.6	$ 1,331.4	$ 1,322.2
Cost of products sold			1,298.0	1,310.8	1,291.2
Acquisition integration costs	[1]		6.1	7.5	9.9
Business Combination Segment Allocation [Line Items]
Pro forma acquisition costs					9.9
Pro forma amortization expense					1.3
Severance and related benefit costs
Business Acquisition [Line Items]
Restructuring reserve			20.7		1.7
Operating Model Redesign
Business Acquisition [Line Items]
Restructuring reserve			5.8
Operating Model Redesign | Severance and related benefit costs
Business Acquisition [Line Items]
Utilized - cash payments			(9.6)	(4.0)
Restructuring reserve			5.1	3.9	1.7
Operating Model Redesign | Other exit costs
Business Acquisition [Line Items]
Utilized - cash payments			(9.6)	(10.2)
Restructuring reserve			0.7	0.7	0.8
Billie
Business Acquisition, Pro Forma Information [Abstract]
Business combinations, pro forma revenue					2,181.7
Business Acquisition, Pro Forma Information, Nonrecurring Adjustment [Line Items]
Business combinations, pro forma revenue					2,181.7
Business combinations, pro forma net income					104.9
Billie
Business Acquisition [Line Items]
Goodwill		$ 181.2
Other intangible assets		136.0
Property, plant and equipment		3.2
Liabilities assumed		(6.9)
Deferred tax liability acquired		(21.1)
Business combination, net assets assumed		309.4
Cost of products sold			3.3	0.0	0.8
Acquisition integration costs			6.1	7.5	9.9
Current assets acquired		$ 17.0
Weighted average useful life of intangible assets acquired		19 years
Business combination, earnings post acquisition					(1.1)
Business Acquisition, Pro Forma Information [Abstract]
Business combinations, pro forma revenue			93.7
Business combination, earnings post acquisition					(1.1)
Business Acquisition, Pro Forma Information, Nonrecurring Adjustment [Line Items]
Business combinations, pro forma revenue			93.7
Business Combination Segment Allocation [Line Items]
Selling, general and administrative expense			$ 2.8	$ 7.5	$ 9.1

[1] Includes COGS of $3.3, nil, and $0.8 for fiscal 2024, 2023, and 2022, respectively and SG&A of $2.8, $7.5, and $9.1 for fiscal 2024, 2023, and 2022, respectively, related to costs associated with the acquisition of Billie, Inc. on November 29, 2021.