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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Disaggregation of Revenue [Line Items]      
Revenue $ 18,853,857 $ 16,326,624 $ 12,095,965
Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 14,050,300 12,277,000 8,947,800
FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 11,721,400 10,030,800 6,809,300
FSS United States | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 11,721,400 10,030,800 6,809,300
FSS United States | Business & Industry | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 1,407,200 1,081,200 695,700
FSS United States | Education | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 3,437,000 3,161,500 2,124,400
FSS United States | Healthcare | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 1,318,300 1,235,800 891,200
FSS United States | Sports, Leisure & Corrections | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 3,537,100 2,722,000 1,511,300
FSS United States | Facilities & Other | Total FSS United States      
Disaggregation of Revenue [Line Items]      
Revenue 2,021,800 1,830,300 1,586,700
FSS International      
Disaggregation of Revenue [Line Items]      
Revenue 4,361,800 3,656,400 2,866,200
FSS International | Total FSS International      
Disaggregation of Revenue [Line Items]      
Revenue 4,361,800 3,656,400 2,866,200
FSS International | Europe      
Disaggregation of Revenue [Line Items]      
Revenue 2,303,600 1,853,300 1,347,500
FSS International | Rest of World      
Disaggregation of Revenue [Line Items]      
Revenue 2,058,200 1,803,100 1,518,700
Career apparel and linens      
Disaggregation of Revenue [Line Items]      
Revenue $ 2,770,700 $ 2,639,400 $ 2,420,500