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Severance - Severance Charges by Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2025
Sep. 29, 2023
Restructuring Cost and Reserve [Line Items]    
Severance charges $ 36.4 $ 35.1
FSS United States | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Severance charges 6.6 3.3
FSS International | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Severance charges $ 29.8 31.2
Cost of Services Provided (Exclusive of Depreciation and Amortization) | Corporate    
Restructuring Cost and Reserve [Line Items]    
Severance charges   $ 0.6