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Debt (Senior Secured Credit Facilities) (Details)
$ in Thousands, € in Millions
3 Months Ended 9 Months Ended
Oct. 01, 2022
USD ($)
Oct. 01, 2022
USD ($)
Oct. 01, 2022
EUR (€)
Jan. 01, 2022
USD ($)
Debt Instrument [Line Items]        
Finance lease obligations $ 5,700 $ 5,700 € 4.0  
Secured Debt [Member] | Senior Secured Facilities | Base Rate [Member]        
Debt Instrument [Line Items]        
Basis spread on variable rate   0.375%    
Interest rate 6.625% 6.625% 6.625%  
Secured Debt [Member] | Senior Secured Facilities | EURIBOR        
Debt Instrument [Line Items]        
Basis spread on variable rate   1.375%    
Interest rate 2.06% 2.06% 2.06%  
Secured Debt [Member] | Term A-1 Facility | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate   1.50%    
Interest rate 4.6341% 4.6341% 4.6341%  
Secured Debt [Member] | Term A-2 Facility | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate   1.375%    
Interest rate 4.5091% 4.5091% 4.5091%  
Revolving Credit Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Company availability under revolving loan facility $ 1,354,500 $ 1,354,500    
Revolving Credit Facility | Senior Secured Facilities | Base Rate [Member] | U.S. dollar        
Debt Instrument [Line Items]        
Line of credit outstanding 25,000 25,000    
Revolving Credit Facility | Senior Secured Facilities | EURIBOR | Euro Member Countries, Euro        
Debt Instrument [Line Items]        
Line of credit outstanding 70,000 70,000    
Letter of Credit [Member] | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding 3,900 3,900    
Term Loan B Facility | Senior Secured Facilities | U.S. dollar        
Debt Instrument [Line Items]        
Line of credit outstanding $ 200,000 $ 200,000    
Term Loan B Facility | Senior Secured Facilities | London Interbank Offered Rate (LIBOR) [Member] | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate   2.00%    
Interest rate 4.69% 4.69% 4.69%  
Foreign Line of Credit [Member] | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding $ 11,200 $ 11,200    
Term A-2 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Debt Instrument, Face Amount 500,000 500,000    
Ancillary Facilities | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding 48,400 48,400    
Domestic Line of Credit | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding 10,900 10,900    
Term A-3 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Debt Instrument, Face Amount 300,000 300,000    
Term A-4 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Debt Instrument, Face Amount $ 500,000 $ 500,000    
Senior Notes | Senior Notes 3.625% Due 2026        
Debt Instrument [Line Items]        
Line of credit outstanding | €     € 515.0  
Stated interest rate 3.625% 3.625% 3.625%  
Long-term Debt $ 498,359 $ 498,359   $ 577,949
Term Loan B Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Long-term Debt 198,539 198,539   198,072
Secured Debt [Member] | Senior Secured Facilities        
Debt Instrument [Line Items]        
Debt issuance $ 3,800 3,800    
Secured Debt [Member] | Secured Debt [Member] | Senior Secured Facilities        
Debt Instrument [Line Items]        
Basis spread on variable rate 1.375%      
Secured Debt [Member] | Secured Debt [Member] | Senior Secured Facilities | Base Rate [Member]        
Debt Instrument [Line Items]        
Basis spread on variable rate 0.375%      
Secured Debt [Member] | Term Loan B Facility | Senior Secured Facilities | London Interbank Offered Rate (LIBOR) [Member] | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate 2.00%      
Secured Debt [Member] | Term Loan B Facility | Senior Secured Facilities | Base Rate [Member] | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate 1.00%      
Secured Debt [Member] | Term A-1 Facility | Senior Secured Facilities | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate 1.50%      
Secured Debt [Member] | Term A-2 Facility | Senior Secured Facilities | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Basis spread on variable rate 1.375%      
Term A-1 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding $ 400,000 400,000    
Long-term Debt 399,234 399,234   0
Term A-1 Facility | Senior Secured Facilities | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Line of credit outstanding 400,000 400,000    
Term A-2 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Line of credit outstanding 500,000 500,000    
Long-term Debt 495,774 495,774   0
Term A-2 Facility | Senior Secured Facilities | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | U.S. dollar        
Debt Instrument [Line Items]        
Line of credit outstanding 496,900 496,900    
Notes Payable, Other Payables [Member]        
Debt Instrument [Line Items]        
Long-term Debt 111,183 111,183   $ 32,319
Notes Payable, Other Payables [Member] | Bank Overdrafts [Member]        
Debt Instrument [Line Items]        
Long-term Debt 20,800 20,800    
Notes Payable, Other Payables [Member] | Other Debt Obligations [Member]        
Debt Instrument [Line Items]        
Long-term Debt 79,100 79,100    
Notes Payable, Other Payables [Member] | Foreign Line of Credit [Member]        
Debt Instrument [Line Items]        
Line of credit outstanding 11,300 11,300    
Term A-3 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Company availability under revolving loan facility 300,000 300,000    
Term A-4 Facility | Senior Secured Facilities        
Debt Instrument [Line Items]        
Company availability under revolving loan facility $ 500,000 $ 500,000