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Debt and Bank Credit Facilities (Narrative) (Details)
12 Months Ended
Aug. 27, 2018
USD ($)
Jan. 02, 2021
USD ($)
tranche
Dec. 28, 2019
USD ($)
Dec. 29, 2018
USD ($)
Debt Instrument [Line Items]        
Repayments of long-term borrowings   $ 50,400,000 $ 90,300,000 $ 811,400,000
Long-term debt   1,074,600,000    
Senior notes   400,000,000.0    
Fair value of debt   $ 1,085,800,000 $ 1,162,100,000  
Letter of Credit        
Debt Instrument [Line Items]        
Principal amount $ 50,000,000.0      
Multicurrency Revolving Facility        
Debt Instrument [Line Items]        
Principal amount 500,000,000.0      
Notes Payable, Other Payables        
Debt Instrument [Line Items]        
Weighted average interest rate of other notes payable   4.90% 5.00%  
Term Facility        
Debt Instrument [Line Items]        
Principal amount $ 900,000,000.0      
Amortization rate per annum 5.00%      
Amortization rate per annum, after 3 years 7.50%      
Amortization rate per annum, last 3 years 10.00%      
Weighted average interest rate   2.00% 3.60%  
Percent of certain cash proceeds received for required repayment 100.00%      
Repayments of long-term borrowings   $ 50,000,000.0 $ 90,000,000.0  
Long-term debt   $ 670,000,000.0 $ 720,000,000.0  
Term Facility | Multicurrency Revolving Facility        
Debt Instrument [Line Items]        
Weighted average interest rate   1.90% 3.60%  
Available borrowing capacity under the Facility   $ 499,800,000    
Average balance outstanding under the Facility   150,400,000 $ 91,700,000  
Term Facility | Multicurrency Revolving Facility | Letter of Credit        
Debt Instrument [Line Items]        
Revolving credit facility   200,000    
Multicurrency Revolving Facility        
Debt Instrument [Line Items]        
Long-term debt   0 17,700,000  
Senior Notes        
Debt Instrument [Line Items]        
Long-term debt   400,000,000.0 400,000,000.0  
Senior notes   400,000,000.0    
Senior Notes | 2011 Notes        
Debt Instrument [Line Items]        
Senior notes   $ 400,000,000.0    
Number of tranches | tranche   5    
Senior Notes | 2011 Notes | Minimum        
Debt Instrument [Line Items]        
Debt term   10 years    
Senior Notes | 2011 Notes | Maximum        
Debt Instrument [Line Items]        
Debt term   12 years    
Other        
Debt Instrument [Line Items]        
Long-term debt   $ 4,600,000 $ 4,500,000