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Acquisitions - Intangible Assets Acquired (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2022
Jun. 04, 2021
Sep. 29, 2023
Sep. 30, 2022
Trade name        
Business Acquisition [Line Items]        
Estimated Fair Value     $ 14.5 $ 56.3
Union Supply Group, Inc        
Business Acquisition [Line Items]        
Estimated Fair Value $ 125.3      
Union Supply Group, Inc | Customer relationship assets        
Business Acquisition [Line Items]        
Estimated Fair Value $ 82.3      
Weighted-Average Estimated Useful Life (in years) 15 years      
Union Supply Group, Inc | Trade name        
Business Acquisition [Line Items]        
Estimated Fair Value $ 43.0      
Weighted-Average Estimated Useful Life (in years) 15 years      
Next Level Hospitality        
Business Acquisition [Line Items]        
Estimated Fair Value   $ 182.5    
Next Level Hospitality | Customer relationship assets        
Business Acquisition [Line Items]        
Estimated Fair Value   $ 133.0    
Weighted-Average Estimated Useful Life (in years)   15 years    
Next Level Hospitality | Trade name        
Business Acquisition [Line Items]        
Estimated Fair Value   $ 49.5    
Weighted-Average Estimated Useful Life (in years)   15 years