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Business Segments - Schedule of Operating Income by Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended
Dec. 29, 2023
Dec. 30, 2022
Segment Reporting Information [Line Items]    
Total Revenue $ 4,407,765 $ 3,913,720
Total Operating Income 166,950 151,685
Income from Continuing Operations Before Income Taxes 52,388 50,734
Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income 221,100 185,400
Corporate    
Segment Reporting Information [Line Items]    
Total Operating Income (54,100) (33,700)
Reconciling Items    
Segment Reporting Information [Line Items]    
Total Operating Income 167,000 151,700
Interest Expense, net 114,600 101,000
Income from Continuing Operations Before Income Taxes 52,400 50,700
FSS - United States    
Segment Reporting Information [Line Items]    
Total Revenue 3,212,800 2,921,000
FSS - United States | Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income 174,800 158,600
FSS International    
Segment Reporting Information [Line Items]    
Total Revenue 1,195,000 992,700
FSS International | Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income $ 46,300 $ 26,800