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Taxes - Narrative (Details) - USD ($)
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Income tax contingency      
Deferred tax assets, loss carryforwards $ 79,130,000 $ 57,264,000  
Percentage of taxable income 8.60% (2.00%) (0.10%)
Valuation allowance $ 143,347,000 $ 122,953,000  
Undistributed earnings of certain foreign subsidiaries 287,000,000    
Undistributed earnings, amount subject to reinvestment 457,900,000    
Unrecognized tax benefits that would favorably impact the effective tax rate in future periods if recognized 24,000,000 24,800,000 $ 31,500,000
Unrecognized tax benefits excluding interest and penalties 8,300,000    
Accrued income tax-related interest 9,100,000 8,200,000  
Penalties accrued 0    
Accrued interest (benefit) expense 900,000 $ 1,500,000 $ 1,900,000
Foreign income tax      
Income tax contingency      
Deferred tax assets, loss carryforwards 58,600,000    
Increase (decrease) in deferred tax asset valuation allowance 10,700,000    
Valuation allowance 67,800,000    
State income tax      
Income tax contingency      
Deferred tax assets, loss carryforwards 11,300,000    
U.S. income tax      
Income tax contingency      
Deferred tax assets, loss carryforwards $ 9,200,000    
Percentage of taxable income 80.00%    
Increase (decrease) in deferred tax asset valuation allowance $ 9,700,000    
Valuation allowance $ 75,500,000