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Business Segments - Schedule of Operating Income by Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended
Dec. 27, 2024
Dec. 29, 2023
Segment Reporting Information [Line Items]    
Total Revenue $ 4,552,086 $ 4,407,765
Total Operating Income 217,264 166,950
Income Before Income Taxes 141,460 52,388
Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income 247,400 221,100
Corporate    
Segment Reporting Information [Line Items]    
Total Operating Income (30,100) (54,100)
Reconciling Items    
Segment Reporting Information [Line Items]    
Total Operating Income 217,300 167,000
Interest Expense, net 75,800 114,600
Income Before Income Taxes 141,500 52,400
FSS United States    
Segment Reporting Information [Line Items]    
Total Revenue 3,301,000 3,212,800
FSS United States | Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income 193,700 174,800
FSS International    
Segment Reporting Information [Line Items]    
Total Revenue 1,251,100 1,195,000
FSS International | Operating Segments    
Segment Reporting Information [Line Items]    
Total Operating Income $ 53,700 $ 46,300