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Commitments and Contingencies (Details)
 12 Months Ended
Oct. 02, 2019
USD ($)
Jun. 22, 2018
USD ($)
Jun. 07, 2018
USD ($)
item
Dec. 28, 2021
USD ($)
Dec. 29, 2020
USD ($)
Commitments and Contingencies          
Purchase obligations       $ 139,500,000 $ 91,600,000
Purchase obligations due within terms recorded       3 years  
Minimum payments for real estate and leases       $ 151,600,000 130,500,000
Outstanding standby letters of credit       29,900,000 23,400,000
Total accrued liability for self-insured plans       67,600,000 $ 62,600,000
Wage citation     $ 4,200,000    
Number of restaurants receiving janitorial services | item     8    
Deferred consideration       11,300,000  
Liability for contingent consideration provision       23,900,000  
Payments required under event of an actual or constructive termination of employment       3,200,000  
Accrued potential bonuses       3,000,000.0  
Annual founder's retirement benefit for ten years after termination of full time employment       $ 650,000  
Number of years annual founder's retirement benefit after termination of full time employment       10 years  
Number of months annual founder's retirement benefit after termination of full time employment       6 months  
Internal Revenue Service          
Commitments and Contingencies          
Tax disallowance   $ 8,000,000.0      
North Italia Acquisition          
Commitments and Contingencies          
Amount in escrow account $ 13,000,000.0        
FRC Acquisition          
Commitments and Contingencies          
Number of years for providing finance to achieve the targets 5 years