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Debt Schedule of Long Term Debt (Details)
$ in Thousands, € in Millions
Jan. 01, 2022
USD ($)
Jan. 01, 2022
EUR (€)
Jan. 02, 2021
USD ($)
Apr. 03, 2019
May 02, 2018
Jun. 03, 2015
Jan. 02, 2014
Debt Instrument [Line Items]              
Debt and capital lease obligations $ 1,463,381   $ 1,508,069        
Less Current Maturities 24,407   27,538        
Long-term debt, net of current portion 1,438,974   1,480,531        
Senior Secured Facilities [Member] | Foreign Line of Credit [Member]              
Debt Instrument [Line Items]              
Long-term Line of Credit 11,700            
Revolving Credit Facility [Member] | Senior Secured Facilities [Member] | Revolving Credit Facility [Member]              
Debt Instrument [Line Items]              
Long-term Debt 160,000   55,000        
Term Loan B Facility [Member] | Senior Secured Facilities [Member]              
Debt Instrument [Line Items]              
Long-term Debt 198,072   296,202        
Long-term Debt, Gross 200,000   300,000        
Unamortized Debt Issuance Expense $ (1,928)   (3,798)        
Senior Notes [Member] | Senior Notes 5.25% Due 2027 [Member]              
Debt Instrument [Line Items]              
Debt Instrument, Interest Rate, Effective Percentage 5.47% 5.47%          
Long-term Debt $ 495,041   494,253        
Long-term Debt, Gross 500,000   500,000        
Unamortized Debt Issuance Expense $ (4,959)   (5,747)        
Annual interest rate 5.25% 5.25%   5.25%      
Senior Notes [Member] | Senior Notes 5.375% Due 2022 [Member]              
Debt Instrument [Line Items]              
Annual interest rate             5.375%
Senior Notes [Member] | Senior Notes 4.75% Due 2022 [Member]              
Debt Instrument [Line Items]              
Annual interest rate           4.75%  
Senior Notes [Member] | Senior Notes 3.625% Due 2026 [Member]              
Debt Instrument [Line Items]              
Long-term Line of Credit | €   € 515.0          
Debt Instrument, Interest Rate, Effective Percentage 3.83% 3.83%          
Long-term Debt $ 577,949   625,577        
Long-term Debt, Gross 582,980   632,163        
Unamortized Debt Issuance Expense $ (5,031)   (6,586)        
Annual interest rate 3.625% 3.625%     3.625%    
Other Notes and Obligations [Member]              
Debt Instrument [Line Items]              
Long-term Debt $ 32,319   $ 37,037        
Other Notes and Obligations [Member] | Foreign Line of Credit [Member]              
Debt Instrument [Line Items]              
Long-term Line of Credit 21,400            
Other Notes and Obligations [Member] | Other Debt Obligations [Member]              
Debt Instrument [Line Items]              
Long-term Debt $ 10,900