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Business Segments - Schedule of Financial Information by Segment (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Segment Reporting Information [Line Items]      
Revenue $ 18,506,299 $ 17,400,701 $ 16,083,212
Depreciation and amortization 476,345 435,547 409,857
Adjusted Operating Income 1,100,300 992,800 858,200
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Unallocated corporate expenses (119,200) (140,700) (139,400)
Amortization of acquisition- related intangible assets (124,500) (107,100) (89,500)
Severance and other charges (36,400) (19,700) (32,300)
Gains, losses and settlements impacting comparability (28,300) (18,800) 28,000
Gain on Equity Investments, net (19,465) 25,071 375,972
Interest Expense, net (341,925) (366,716) (437,476)
Income from Continuing Operations Before Income Taxes 430,456 364,865 563,524
Operating lease, impairment loss     21,600
Tangible asset impairment charges     21,600
Asset write-downs 8,946 18,186 29,865
Pension withdrawal charges     6,700
Amortization of acquisition- related intangible assets 124,600 107,100 89,500
Technology Equipment      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Asset write-downs     8,200
Trade names      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Production related impairments or charges   3,300 2,300
ARGENTINA      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Foreign currency transaction loss 5,700 5,400 10,400
Other Acquisitions      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Acquisition-related cost, expense   8,200 85,700
Production related impairments or charges   6,800  
FSS United States      
Segment Reporting Information [Line Items]      
Revenue 13,211,900 12,576,700 11,721,400
Food and support services costs 3,683,100 3,428,400 3,238,000
Personnel costs 4,983,300 4,661,000 4,420,300
Other direct costs 3,287,200 3,320,000 3,002,000
Depreciation and amortization 282,600 269,500 265,600
Selling expenses 135,700 123,600 113,300
Adjusted Operating Income 840,000 774,200 682,200
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Severance and other charges (6,600) (12,900) (2,300)
Gains, losses and settlements impacting comparability   (18,200)  
Other miscellaneous charges 6,900    
Amortization of acquisition- related intangible assets 97,900 91,400 76,800
FSS United States | Other Acquisitions      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Acquisition-related cost, expense 11,100    
FSS International      
Segment Reporting Information [Line Items]      
Revenue 5,294,400 4,824,000 4,361,800
Food and support services costs 1,417,700 1,325,000 1,200,700
Personnel costs 2,708,600 2,428,400 2,207,100
Other direct costs 815,100 773,800 702,500
Depreciation and amortization 68,400 58,900 54,600
Selling expenses 24,300 19,300 20,900
Adjusted Operating Income 260,300 218,600 176,000
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Severance and other charges (29,800)   (30,000)
Legal fees 2,500    
Other miscellaneous charges 2,100   3,300
Amortization of acquisition- related intangible assets 26,600 $ 15,700 12,700
Certain assets related to business that was sold     5,200
FSS International | ARGENTINA      
Reconciliation to Income from Continuing Operations Before Income Taxes:      
Foreign currency transaction loss $ (5,700)   $ 10,400