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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 30, 2022
Dec. 31, 2021
Disaggregation of Revenue [Line Items]    
Revenue $ 4,600,998 $ 3,948,260
FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 2,921,000 2,425,400
FSS United States | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 2,921,000 2,425,400
FSS United States | Business & Industry | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 331,500 230,700
FSS United States | Education | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 1,003,600 910,000
FSS United States | Healthcare | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 324,600 296,400
FSS United States | Sports, Leisure & Corrections | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 784,600 548,100
FSS United States | Facilities & Other | Total FSS United States    
Disaggregation of Revenue [Line Items]    
Revenue 476,700 440,200
FSS International    
Disaggregation of Revenue [Line Items]    
Revenue 992,700 873,200
FSS International | Total FSS International    
Disaggregation of Revenue [Line Items]    
Revenue 992,700 873,200
FSS International | Europe    
Disaggregation of Revenue [Line Items]    
Revenue 504,200 430,700
FSS International | Rest of World    
Disaggregation of Revenue [Line Items]    
Revenue 488,500 442,500
Uniform    
Disaggregation of Revenue [Line Items]    
Revenue $ 687,300 $ 649,700