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Commitments and Contingencies (Narratives) (Details)
12 Months Ended
Jan. 14, 2019
USD ($)
Jan. 26, 2016
USD ($)
patent
Dec. 28, 2018
USD ($)
Dec. 29, 2017
USD ($)
Dec. 30, 2016
USD ($)
Gain Contingencies [Line Items]          
Gain on litigation settlement   $ 0      
Expenses related to license agreements     $ 852,347,000 $ 782,070,000 $ 737,823,000
Standard product warranty description     The Company generally warrants that its products will meet customer specifications and will be free from defects in materials and workmanship.    
Self Insurance Reserve     $ 4,200,000 5,800,000  
Other Noncurrent Liabilities [Member]          
Gain Contingencies [Line Items]          
Environmental matter accruals       1,000,000  
Positive Outcome of Litigation [Member]          
Gain Contingencies [Line Items]          
Number of patents found infringed upon | patent   3      
Settlement amount   $ 37,500,000      
Royalty [Member]          
Gain Contingencies [Line Items]          
Expenses related to license agreements     $ 1,600,000 $ 1,100,000 $ 1,000,000
Subsequent Event [Member] | Positive Outcome of Litigation [Member]          
Gain Contingencies [Line Items]          
Settlement amount $ 22,200,000