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Long-Term Debt - Credit Facility (Details)
$ in Millions
12 Months Ended
Jan. 02, 2024
USD ($)
item
Nov. 23, 2023
USD ($)
Jan. 03, 2023
USD ($)
Oct. 06, 2022
USD ($)
Long-Term Debt        
Outstanding letters of credit $ 33.5   $ 31.5  
Revolving facility   $ 15.0    
Revolving Credit Facility        
Long-Term Debt        
Net availability for borrowings 236.5      
Outstanding debt balance 130.0      
Outstanding letters of credit $ 33.5      
Base Rate | Maximum | Revolving Credit Facility        
Long-Term Debt        
Credit facility, basis spread on variable rate, (as a percent) 0.75%      
Base Rate | Minimum | Revolving Credit Facility        
Long-Term Debt        
Credit facility, basis spread on variable rate, (as a percent) 0.00%      
Fourth amendment | Revolving Credit Facility        
Long-Term Debt        
Maximum commitments       $ 400.0
Maximum commitments, letter of credit sub-facility       50.0
Additional commitments available       $ 200.0
Fourth amendment | Maximum | Revolving Credit Facility        
Long-Term Debt        
Net adjusted leverage ratio 4.25      
Credit facility, basis spread on variable rate, (as a percent) 1.75%      
Commitment fee (as a percent) 0.25%      
Fourth amendment | Minimum | Revolving Credit Facility        
Long-Term Debt        
EBITDAR ratio 1.90      
Credit facility, basis spread on variable rate, (as a percent) 1.00%      
Commitment fee (as a percent) 0.125%      
Fourth amendment | One-month Term SOFR Rate | Maximum | Revolving Credit Facility        
Long-Term Debt        
Credit facility, basis spread on variable rate, (as a percent) 1.00%      
Fourth amendment | Overnight bank funding rate | Maximum | Revolving Credit Facility        
Long-Term Debt        
Credit facility, basis spread on variable rate, (as a percent) 0.50%      
Amended Credit Agreement | Maximum | Revolving Credit Facility        
Long-Term Debt        
Multiplier of rent used to compute adjusted debt | item 8      
Amended Credit Agreement | Minimum | Revolving Credit Facility        
Long-Term Debt        
Multiplier of rent used to compute adjusted debt | item 6