Commitments and Contingencies (Details)				12 Months Ended
	Oct. 02, 2019 USD ($)	Jun. 22, 2018 USD ($)	Jun. 07, 2018 USD ($) item	Dec. 31, 2019 USD ($)	Jan. 01, 2019 USD ($)
Commitments and Contingencies
Purchase obligations				$ 118,200,000	$ 149,800,000
Purchase obligations due within terms recorded				3 years
Minimum payments for real estate and leases				$ 176,100,000	12,600,000
Outstanding standby letters of credit				19,400,000	20,700,000
Total accrued liability for self-insured plans				67,700,000	$ 72,200,000
Wage citation			$ 4,200,000
Number of restaurants receiving janitorial services | item			8
Payments required under event of an actual or constructive termination of employment				2,300,000
Accrued potential bonuses				2,700,000
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	$ 12,000,000.0
Period of amount deferred	2 years
FRC Acquisition
Commitments and Contingencies
Amount in escrow account	$ 13,000,000.0
Deferred consideration	$ 45,000,000.0
Period of amount deferred	4 years
Number of years for providing finance to achieve the targets	5 years