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Taxes - Narrative (Details) - USD ($)
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Income tax contingency      
Deferred tax assets, loss carryforwards $ 57,264,000 $ 54,112,000  
Valuation allowance 122,953,000 109,250,000  
Undistributed earnings of certain foreign subsidiaries 156,700,000    
Undistributed earnings, amount subject to reinvestment 562,000,000    
Unrecognized tax benefits that would favorably impact the effective tax rate in future periods if recognized 24,800,000 31,500,000 $ 35,700,000
Unrecognized tax benefits excluding interest and penalties 14,200,000    
Accrued income tax-related interest 8,200,000 6,700,000  
Penalties accrued 0 800,000  
Accrued interest (benefit) expense 1,500,000 $ 1,900,000 $ 1,200,000
Foreign income tax      
Income tax contingency      
Deferred tax assets, loss carryforwards 47,600,000    
Increase (decrease) in deferred tax asset valuation allowance 3,800,000    
Valuation allowance 57,100,000    
State income tax      
Income tax contingency      
Deferred tax assets, loss carryforwards 9,700,000    
U.S. income tax      
Income tax contingency      
Increase (decrease) in deferred tax asset valuation allowance 9,900,000    
Valuation allowance $ 65,900,000