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Debt Narrative (Details)
12 Months Ended
Jan. 02, 2021
USD ($)
Dec. 28, 2019
USD ($)
Dec. 29, 2018
USD ($)
Jan. 02, 2021
EUR (€)
Sep. 17, 2020
Apr. 03, 2019
USD ($)
May 02, 2018
EUR (€)
Jun. 03, 2015
EUR (€)
Jan. 02, 2014
USD ($)
Debt Instrument [Line Items]                  
Capital Lease Obligations | €       € 3,000,000.0          
Debt extinguishment costs $ 0 $ 12,126,000 $ 23,509,000            
Current portion of long-term debt 27,538,000 90,996,000              
Long-term debt, net of current portion $ 1,480,531,000 1,558,429,000              
Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Line of credit facility, term 5 years                
Term Loan B Facility [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Long-term Debt $ 296,202,000 487,304,000              
Senior Notes [Member] | Senior Notes 3.625% Due 2026 [Member]                  
Debt Instrument [Line Items]                  
Long-term line of credit | €       € 515,000,000.0          
Face amount of debt insturment | €             € 515,000,000.0    
Long-term Debt $ 625,577,000 567,114,000              
Annual interest rate 3.625%     3.625%     3.625%    
Senior Notes [Member] | Senior Notes 5.25% Due 2027 [Member]                  
Debt Instrument [Line Items]                  
Face amount of debt insturment           $ 500,000,000.0      
Long-term Debt $ 494,253,000 493,506,000              
Debt extinguishment costs $ 12,100,000                
Annual interest rate 5.25%     5.25%   5.25%      
Senior Notes [Member] | Senior Notes 5.375% Due 2022 [Member]                  
Debt Instrument [Line Items]                  
Face amount of debt insturment                 $ 500,000,000.0
Annual interest rate                 5.375%
Senior Notes [Member] | Senior Notes 4.75% Due 2022 [Member]                  
Debt Instrument [Line Items]                  
Face amount of debt insturment | €               € 515,000,000.0  
Annual interest rate               4.75%  
Secured Debt [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Maximum availability $ 1,525,000,000                
Debt Issuance Costs, Net 4,300,000                
Other Notes and Obligations [Member]                  
Debt Instrument [Line Items]                  
Long-term Debt 37,037,000 62,501,000              
Revolving Credit Facility [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Maximum availability 1,000,000,000.0                
Availability 893,900,000                
Revolving Credit Facility [Member] | Senior Secured Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Long-term line of credit 25,000,000.0                
Revolving Credit Facility [Member] | Senior Secured Facilities [Member] | Base Rate [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Long-term line of credit 30,000,000.0                
Revolving Credit Facility [Member] | Revolving Credit Facility [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Long-term Debt 55,000,000 $ 39,000,000              
Revolving Credit Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Availability 970,000,000.0                
Revolving Credit Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Availability $ 30,000,000.0                
Term Loan A Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 1.50%                
Term Loan A Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member] | Canadian Prime Rate [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 0.50%                
Letter of Credit [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Long-term line of credit $ 3,900,000                
Maximum availability $ 150,000,000.0                
Debt Instrument, Covenant, Leverage Ratio, Denominator         1.5        
Letter of Credit [Member] | Senior Secured Facilities [Member] | Minimum [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, covenant, interest ratio 3.00     3.00          
Letter of Credit [Member] | Senior Secured Facilities [Member] | Maximum [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, covenant, leverage ratio 5.50     5.50          
Secured Debt [Member] | Senior Secured Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 1.50%                
Line of credit facility, interest rate at period end 1.65%     1.65%          
Secured Debt [Member] | Senior Secured Facilities [Member] | Base Rate [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 0.50%                
Line of credit facility, interest rate at period end 3.75%     3.75%          
Swingline Sub-Facility [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Maximum availability $ 50,000,000.0                
Term Loan B Facility [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Face amount of debt insturment 525,000,000.0                
Term Loan B Facility [Member] | Senior Secured Facilities [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Long-term line of credit $ 300,000,000.0                
Term Loan B Facility [Member] | Senior Secured Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member]                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 2.00%                
Line of credit facility, interest rate at period end 2.15%     2.15%          
Term Loan B Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member] | London Interbank Offered Rate (LIBOR) [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 2.00%                
Term Loan B Facility [Member] | Secured Debt [Member] | Senior Secured Facilities [Member] | Base Rate [Member] | United States of America, Dollars                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 1.00%                
Foreign Line of Credit [Member] | Senior Secured Facilities [Member]                  
Debt Instrument [Line Items]                  
Long-term line of credit $ 12,500,000                
Foreign Line of Credit [Member] | Other Notes and Obligations [Member]                  
Debt Instrument [Line Items]                  
Long-term line of credit $ 16,200,000