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Long-term Debt - Credit Agreement Narrative (Details)
3 Months Ended 12 Months Ended
Jan. 01, 2022
USD ($)
Jul. 03, 2021
USD ($)
Dec. 31, 2022
USD ($)
Jan. 01, 2022
USD ($)
Jan. 02, 2021
USD ($)
Oct. 02, 2021
Jul. 02, 2021
May 12, 2020
USD ($)
Jul. 18, 2019
USD ($)
Debt Instrument [Line Items]                  
Repayments of long-term debt     $ 4,000 $ 167,375,000 $ 369,269,000        
Term loan | Term loan                  
Debt Instrument [Line Items]                  
Aggregate principal amount               $ 420,000,000 $ 420,000,000
Debt Instrument LIBOR Floor   1.00%         0.00%    
Term loan | Term loan, due July 18, 2024                  
Debt Instrument [Line Items]                  
Repayments of long-term debt $ 50,000,000 $ 117,400,000              
Write off of deferred debt issuance costs $ 300,000 $ 700,000              
Term loan | Term loan, due July 18, 2024 | LIBOR | Minimum                  
Debt Instrument [Line Items]                  
Applicable margin on rate (percent)   1.25%              
Term loan | Term loan, due July 18, 2024 | LIBOR | Maximum                  
Debt Instrument [Line Items]                  
Applicable margin on rate (percent)   2.00%              
Term loan | Term loan, due July 18, 2024 | ABR | Minimum                  
Debt Instrument [Line Items]                  
Applicable margin on rate (percent)   0.25%              
Term loan | Term loan, due July 18, 2024 | ABR | Maximum                  
Debt Instrument [Line Items]                  
Applicable margin on rate (percent)   1.00%              
Credit facility | Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Credit facility borrowing capacity     300,000,000           300,000,000
Debt Agreement Consolidated Total Debt To Consolidated EBITDA Ratio Quarter End Maximum   4.50     4.25 4.50      
Consolidated Interest Coverage Ratio minimum   3.00              
Amount outstanding on line of credit     0            
Borrowing capacity remaining     293,600,000            
Outstanding letters of credit     6,400,000            
Credit facility | Letter of credit                  
Debt Instrument [Line Items]                  
Credit facility sublimit                 $ 20,000,000
Outstanding letters of credit     $ 6,400,000