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Severance - Severance Charges by Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Restructuring Cost and Reserve [Line Items]    
Severance charges   $ 19.6
FSS United States | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Severance charges   7.7
FSS International | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Severance charges   $ 11.9
Cost of Services Provided (Exclusive of Depreciation and Amortization)    
Restructuring Cost and Reserve [Line Items]    
Severance charges $ 35.1  
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  
Cost of Services Provided (Exclusive of Depreciation and Amortization) | FSS International | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Severance charges $ 31.2