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Business Combinations and Divestitures (Details) - USD ($)
$ in Millions
12 Months Ended
Nov. 29, 2021
Sep. 02, 2020
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Business Acquisition [Line Items]          
Acquisitions, net of cash acquired     $ 0.0 $ 309.4 $ 0.3
Goodwill     1,331.4 1,322.2 1,162.8
Business combinations, pro forma revenue     2,181.7 2,155.3  
Acquisition integration costs [1]     7.5 9.9 8.4
Business combinations, pro forma net income     104.9 93.1  
Pro forma amortization expense     1.3 8.9  
Pro forma acquisition costs     9.9    
Severance Costs     6.2 5.6 9.4
Accelerated depreciation     0.8 0.8 1.1
Consulting, project implementation and management and other exit costs     10.1 9.8 19.6
Restructuring and related costs     17.1 16.2 $ 30.1
Cremo          
Business Acquisition [Line Items]          
Goodwill   $ 128.0      
Other intangible assets   $ 95.1      
Weighted average useful life of intangible assets acquired   17 years      
Business combinations, net assets acquired   $ 234.6      
Business combinations, working capital and other net assets   $ 11.5      
Billie          
Business Acquisition [Line Items]          
Current assets acquired $ 17.0        
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        
Weighted average useful life of intangible assets acquired 19 years        
Business combinations, pro forma revenue     93.7    
Business combination, earnings post acquisition     (1.1)    
Selling, general and administrative expense          
Business Acquisition [Line Items]          
Acquisition integration costs     7.5 9.1  
Selling, general and administrative expense | Cremo          
Business Acquisition [Line Items]          
Acquisition integration costs       7.1  
Cost of products sold          
Business Acquisition [Line Items]          
Acquisition integration costs     0.0 $ 0.8  
Cost of products sold | Cremo          
Business Acquisition [Line Items]          
Acquisition integration costs     $ 1.3    
[1] Includes SG&A of $7.5, $9.1, and $7.1 for fiscal 2023, 2022, and 2021, respectively, related to integration expenses associated with acquisitions and Cost of products sold of nil, $0.8, and $1.3 related to the valuation of acquired inventory for fiscal 2023, 2022, and 2021, respectively.