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Fair Value of Financial Instruments - Fair Value Schedule (Details) - USD ($)
$ in Thousands
Jan. 01, 2023
Jan. 02, 2022
Financial Instrument [Line Items]    
Company-owned life insurance, carrying value $ 22,616 $ 22,378
Long-term debt, gross 526,332 525,131
Syndicated Facility Agreement    
Financial Instrument [Line Items]    
Long-term debt, gross 226,332 225,131
Senior Notes    
Financial Instrument [Line Items]    
Long-term debt, gross 300,000 300,000
Nonqualified Savings Plans    
Financial Instrument [Line Items]    
Deferred compensation investments, carrying value 27,610 35,578
Nonqualified Savings Plans | Mutual Funds    
Financial Instrument [Line Items]    
Deferred compensation investments, carrying value 11,000 15,600
Nonqualified Savings Plans | Insurance Contracts    
Financial Instrument [Line Items]    
Deferred compensation investments, carrying value 16,600 20,000
Level 1 | Nonqualified Savings Plans | Mutual Funds    
Financial Instrument [Line Items]    
Deferred compensation investments, fair value 11,003 15,557
Level 2    
Financial Instrument [Line Items]    
Company-owned life insurance, fair value 22,616 22,378
Level 2 | Syndicated Facility Agreement    
Financial Instrument [Line Items]    
Long-term debt, fair value 226,332 225,131
Level 2 | Senior Notes    
Financial Instrument [Line Items]    
Long-term debt, fair value 248,652 315,039
Level 2 | Nonqualified Savings Plans | Insurance Contracts    
Financial Instrument [Line Items]    
Deferred compensation investments, fair value $ 16,607 $ 20,021