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Intangible and Other Assets- Schedule of Intangible and Other Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Intangibles-subject to amortization:      
Gross amount $ 54,781 $ 55,772  
Accumulated amortization 49,361 46,913  
Intangibles-not subject to amortization:      
Gross amount 8,881 8,895  
Other assets:      
Gross amount 64,299 129,435  
Gross amount 127,961 194,102  
Accumulated amortization 49,361 46,913  
Total intangible and other assets-net 78,600 147,189  
Amortization expense for intangible assets 3,400 7,100 $ 7,100
Other deposits      
Other assets:      
Gross amount 19,418 19,762  
Deferred compensation plan assets      
Other assets:      
Gross amount 0 6,257  
Deferred tax asset-net      
Other assets:      
Gross amount 24,552 33,893  
Restricted cash      
Other assets:      
Gross amount 13,611 8,159  
Tax receivable      
Other assets:      
Gross amount 53 58,734  
Investments      
Other assets:      
Gross amount 327 327  
Debt issuance costs      
Other assets:      
Gross amount 4,578 0  
Other      
Other assets:      
Gross amount $ 1,760 2,303  
Minimum      
Intangibles-subject to amortization:      
Useful lives 3 years    
Maximum      
Intangibles-subject to amortization:      
Useful lives 20 years    
Trademarks      
Intangibles-subject to amortization:      
Useful lives 10 years    
Gross amount $ 3,775 3,775  
Accumulated amortization 3,310 3,198  
Customer lists      
Intangibles-subject to amortization:      
Gross amount 41,403 42,387  
Accumulated amortization $ 40,353 39,406  
Customer lists | Minimum      
Intangibles-subject to amortization:      
Useful lives 5 years    
Customer lists | Maximum      
Intangibles-subject to amortization:      
Useful lives 10 years    
Patents      
Intangibles-subject to amortization:      
Gross amount $ 2,371 2,371  
Accumulated amortization $ 2,013 1,973  
Patents | Minimum      
Intangibles-subject to amortization:      
Useful lives 3 years    
Patents | Maximum      
Intangibles-subject to amortization:      
Useful lives 20 years    
Developed technology      
Intangibles-subject to amortization:      
Useful lives 7 years    
Gross amount $ 2,193 2,193  
Accumulated amortization $ 1,645 1,097  
Trade name      
Intangibles-subject to amortization:      
Useful lives 6 years    
Gross amount $ 4,502 4,502  
Accumulated amortization 1,688 938  
Other      
Intangibles-subject to amortization:      
Gross amount 537 544  
Accumulated amortization $ 352 $ 301  
Other | Minimum      
Intangibles-subject to amortization:      
Useful lives 7 years    
Other | Maximum      
Intangibles-subject to amortization:      
Useful lives 20 years