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Income Taxes - Narrative (Details) - USD ($)
$ in Thousands
 12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Mar. 27, 2020
Mar. 26, 2020
Income Tax [Line Items]          
Current Income Tax Asset $ 123,608 $ 35,107      
Accrued taxes 3,100 8,100      
Operating loss carryforwards 90,500        
Valuation allowances 38,977 17,532 $ 29,023    
Goodwill impairment 198,600 0 0    
Foreign tax credit carryforwards 95,700        
Tax credit carry foward, general business 56,700        
Tax credit carryforward, Interest 10,700        
Deferred tax payable 345,480 502,474      
Gross unrecognized tax benefits 34,578 36,272 29,089    
Unrecognized tax benefits that would impact the effective tax rate 32,300        
Adjustment in deferred tax liability 2,300        
Accrued for interest and penalties 4,600 5,500      
Income tax penalties and interest expense (800) 600      
Income tax expense (benefit) (186,284) 107,706 (96,564)    
Net operating loss carried back to Pre-TCJA years 63,400        
Reserve for NOL carryback, subject to expirataion 5,000        
Tax expense (benefit), share-based payment arrangement, amount 46,200        
Deferred income tax liability, provisional income tax expense (benefit)     $ 237,800    
Undistributed foreign earnings 251,100 184,000      
Tax liability on undistributed foreign earnings 14,800 11,000      
Food and Support Services - International          
Income Tax [Line Items]          
Valuation allowances 21,400        
Goodwill impairment 198,600        
CARES Act          
Income Tax [Line Items]          
Allowable percent of adjusted taxable income       50.00% 30.00%
Income tax expense (benefit) 58,400        
Income taxes receivable 62,100        
CARES Act | Foreign Tax Authority          
Income Tax [Line Items]          
Income tax expense (benefit) 65,100        
CARES Act | Domestic Tax Authority          
Income Tax [Line Items]          
Income tax expense (benefit) 35,900        
Deferred Income Taxes and Other Noncurrent Liabilities          
Income Tax [Line Items]          
Deferred tax payable 398,800 519,900      
Other assets          
Income Tax [Line Items]          
Deferred tax assets 53,300 $ 17,400      
Valuation Allowance, Operating Loss Carryforwards          
Income Tax [Line Items]          
Valuation allowances $ 39,000