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Basis of Presentation and Summary of Significant Accounting Policies - Narrative (Details)
$ in Thousands
 3 Months Ended 9 Months Ended
Jul. 02, 2021
USD ($)
country
Jun. 26, 2020
USD ($)
Jul. 02, 2021
USD ($)
segment
country
Jun. 26, 2020
USD ($)
Oct. 02, 2020
USD ($)
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Number of reportable segments | segment     3    
Cash and cash equivalents $ 483,429   $ 483,429   $ 2,509,188
Gain on equity investment 137,934 $ 0 137,934 $ 0  
Equity securities without readily determinable fair value, amount 180,500   180,500   42,500
Deferred income taxes and other liabilities 1,097,104   1,097,104   1,099,075
Allowance for doubtful accounts receivable, current 80,965   80,965   74,925
Loss on Defined Benefit Pension Plan Termination (60,864) 0 (60,864) 0  
Deferred Income Taxes and Other Noncurrent Liabilities | CARES Act          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Deferred income taxes and other liabilities 128,500   128,500    
Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
CARES Act. COVID-19 labor related credit 5,000 10,100 11,000 10,100  
Cost of services provided | Other Assets          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on disposal by abandonment   800   800  
Cost of services provided | Leasehold Improvements          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on disposal by abandonment   17,400   17,400  
Cost of services provided | Right-of-Use Assets          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on disposal by abandonment   10,300   10,300  
FSS United States | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Loss on disposal by abandonment   28,500   28,500  
Uniform | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
CARES Act. COVID-19 labor related credit 5,000 10,800 14,000 10,800  
FSS United States and Uniform | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
CARES Act. COVID-19 labor related credit 29,000 61,100 105,200 61,100  
Captive          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Cash and cash equivalents $ 183,500   $ 183,500   $ 92,100
Foreign Countries Outside North America          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Number of foreign countries in which entity operates | country 18   18    
Nashville, Tennessee | Uniform          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Insurance proceeds   25,000      
Nashville, Tennessee | Uniform | Cost of services provided          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Gain from insurance proceeds   $ 16,300   16,300  
Proceeds from insurance claims included within Net cash used in investing activities       21,500  
Proceeds from Insurance claims included within Net cash from operating activities       $ 3,500