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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Net definite-lived intangible assets      
Gross $ 320,653 $ 283,093  
Accumulated Amortization 173,026 143,230  
Net 147,627 139,863  
Capitalized software 23,649 19,313 $ 18,130
Other definite-lived intangibles 6,507 4,950 $ 6,275
Amortization expense      
2022 29,900    
2023 25,700    
2024 21,400    
2025 18,900    
2026 16,600    
Software      
Net definite-lived intangible assets      
Gross 196,754 182,127  
Accumulated Amortization 102,072 78,619  
Net 94,682 103,508  
Trademarks and trade names      
Net definite-lived intangible assets      
Gross 14,264 9,964  
Accumulated Amortization 4,600 3,546  
Net 9,664 6,418  
Customer lists and other      
Net definite-lived intangible assets      
Gross 109,635 91,002  
Accumulated Amortization 66,354 61,065  
Net $ 43,281 $ 29,937