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Business Segments - Financial Information by Segment (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 27, 2024
Sep. 29, 2023
Sep. 30, 2022
Segment Reporting Information [Line Items]      
Revenue $ 17,400,701 $ 16,083,212 $ 13,687,269
Revenue (Net of rounding adjustments from spinoff in the period ended September 30, 2022)     13,687,200
Total Operating Income 706,510 625,028 415,392
Income from Continuing Operations Before Income Taxes 364,865 563,524 47,214
Depreciation and amortization 435,547 409,857 397,975
Capital expenditures and client contract investments and other 454,600 385,000 359,300
Assets 12,674,371 16,871,241  
Cash dividends 101,867 116,734 115,257
Property and Equipment, net 1,573,193 1,425,973  
Uniform Legal Entity      
Segment Reporting Information [Line Items]      
Cash dividends   1,500,000  
United States      
Segment Reporting Information [Line Items]      
Revenue 12,441,700 11,536,900 9,884,300
Property and Equipment, net 1,312,600 1,209,000  
Foreign      
Segment Reporting Information [Line Items]      
Revenue 4,959,000 4,546,300 3,802,900
Property and Equipment, net 260,600 217,000  
Operating Segments      
Segment Reporting Information [Line Items]      
Total Operating Income 847,200 764,500 547,600
Operating Segments | Discontinued Operations      
Segment Reporting Information [Line Items]      
Assets 0 3,124,800  
Corporate      
Segment Reporting Information [Line Items]      
Total Operating Income (140,700) (139,500) (132,200)
Depreciation and amortization 0 200 300
Capital expenditures and client contract investments and other 0 400 0
Reconciling Item, Excluding Corporate Nonsegment      
Segment Reporting Information [Line Items]      
Gain on Equity Investments, net (25,100) (376,000) 0
Interest Expense, net 366,700 437,500 368,200
Income from Continuing Operations Before Income Taxes 364,900 563,500 47,200
FSS United States      
Segment Reporting Information [Line Items]      
Revenue 12,576,700 11,721,400 10,030,800
FSS United States | United States      
Segment Reporting Information [Line Items]      
Revenue 12,576,700 11,721,400 10,030,800
FSS United States | Operating Segments      
Segment Reporting Information [Line Items]      
Total Operating Income 659,900 650,000 435,100
Depreciation and amortization 360,900 342,400 330,900
Capital expenditures and client contract investments and other 359,400 299,300 283,300
Assets 9,903,200 9,652,500  
FSS International      
Segment Reporting Information [Line Items]      
Revenue 4,824,000 4,361,800 3,656,400
FSS International | Operating Segments      
Segment Reporting Information [Line Items]      
Total Operating Income 187,300 114,500 112,500
Depreciation and amortization 74,600 67,300 66,800
Capital expenditures and client contract investments and other 95,200 85,300 $ 76,000
Assets 2,586,400 2,250,800  
Corporate | Corporate      
Segment Reporting Information [Line Items]      
Assets $ 184,800 $ 1,843,100