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Severance - Severance Charges by Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Uniform      
Restructuring Cost and Reserve [Line Items]      
Severance charges     $ 9.0
Cost of Services Provided (Exclusive of Depreciation and Amortization)      
Restructuring Cost and Reserve [Line Items]      
Severance charges $ 41.7 $ 19.6  
Cost of Services Provided (Exclusive of Depreciation and Amortization) | Corporate      
Restructuring Cost and Reserve [Line Items]      
Severance charges 0.6    
Cost of Services Provided (Exclusive of Depreciation and Amortization) | FSS United States | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Severance charges 3.3 7.7  
Cost of Services Provided (Exclusive of Depreciation and Amortization) | FSS International | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Severance charges 31.2 $ 11.9  
Cost of Services Provided (Exclusive of Depreciation and Amortization) | Uniform | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Severance charges $ 6.6