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Long-Term Obligations - Additional Information (Details) - USD ($)
3 Months Ended 9 Months Ended
Aug. 09, 2022
Dec. 10, 2021
Jul. 15, 2021
Oct. 01, 2022
Oct. 02, 2021
Oct. 01, 2022
Oct. 02, 2021
Jan. 01, 2022
Debt Instrument [Line Items]                
Debt issuance costs       $ 34,447,000   $ 34,447,000   $ 37,733,000
Interest expense related to amortization of debt issuance costs       1,600,000 $ 1,400,000 4,900,000 $ 7,200,000  
Swingline loans       0   0   0
Fair value of long-term obligations       1,326,300,000   1,326,300,000    
Revolving Credit Facility                
Debt Instrument [Line Items]                
Line of credit facility, maximum borrowing capacity       182,400,000   $ 182,400,000   182,400,000
Revolving Credit Facility | LIBOR                
Debt Instrument [Line Items]                
Interest rate margin on borrowings           3.75%    
Letter of Credit                
Debt Instrument [Line Items]                
Issued letter of credit       17,600,000   $ 17,600,000   17,600,000
Term Loan                
Debt Instrument [Line Items]                
Debt issuance costs       34,400,000   $ 34,400,000   37,700,000
Second Lien Term Loan                
Debt Instrument [Line Items]                
Debt instrument minimum floor rate percentage   0.50%            
Second Lien Term Loan | LIBOR                
Debt Instrument [Line Items]                
Interest rate margin on borrowings   7.00%       7.00%    
Second Lien Term Loan | Annual Base Rate                
Debt Instrument [Line Items]                
Interest rate margin on borrowings   6.00%            
Second Lien Term Loan | Federal Funds Effective Rate                
Debt Instrument [Line Items]                
Interest rate margin on borrowings   0.50%            
Second Lien Term Loan | One Month LIBOR Rate                
Debt Instrument [Line Items]                
Interest rate margin on borrowings   1.00%            
2021 Extended Term Loan | LIBOR                
Debt Instrument [Line Items]                
Interest rate margin on borrowings           3.75%    
Delayed Draw Term Loan Facility                
Debt Instrument [Line Items]                
Debt issuance costs       $ 1,900,000   $ 1,900,000   $ 3,200,000
Amount borrowed $ 60,000,000.0              
Amount of remaining available borrowing $ 140,000,000.0              
Delayed Draw Term Loan Facility | LIBOR                
Debt Instrument [Line Items]                
Interest rate margin on borrowings           3.75%    
2021 Extended Term Loan and Delayed Draw Term Loans | LIBOR | Minimum                
Debt Instrument [Line Items]                
Debt instruments, variable interest rate     0.50%          
2021 Extended Term Loan and Delayed Draw Term Loans | LIBOR | Maximum                
Debt Instrument [Line Items]                
Interest rate margin on borrowings     3.75%          
2021 Extended Term Loan and Delayed Draw Term Loans | Annual Base Rate | Minimum                
Debt Instrument [Line Items]                
Debt instruments, variable interest rate     2.00%          
Interest rate margin on borrowings     2.75%