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Short- and Long-Term Obligations - Additional Information (Details) - USD ($)
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Debt Instrument [Line Items]      
Proceeds from issuance of long-term obligations $ 151,944,000 $ 26,000,000 $ 247,196,000
Short-and long-term debt, excluding finance leases 264,607,000    
Loans receivable 1,408,000    
Clouth      
Debt Instrument [Line Items]      
Short-and long-term debt, excluding finance leases 4,331,000    
Sale Leaseback Arrangement      
Debt Instrument [Line Items]      
Sale leaseback transaction outstanding amount $ 3,297,000    
Maximum | Clouth      
Debt Instrument [Line Items]      
Effective interest rate 1.95%    
Revolving credit facility      
Debt Instrument [Line Items]      
Short-and long-term debt, excluding finance leases $ 250,267,000 217,963,000  
Remaining borrowing capacity $ 149,920,000    
Weighted average interest rate for long-term obligations 1.50%    
Revolving credit facility | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Borrowing capacity available under committed portion $ 400,000,000    
Uncommitted unsecured additional borrowing capacity 150,000,000    
Maximum amount of unrestricted U.S. cash $ 30,000,000    
Maximum consolidated leverage ratio 3.75    
Minimum consolidated interest coverage ratio 4.00    
Proceeds from issuance of long-term obligations $ 151,944,000    
Revolving credit facility | Euro-Denominated Borrowing      
Debt Instrument [Line Items]      
Proceeds from issuance of long-term obligations 89,944,000    
Short-and long-term debt, excluding finance leases $ 78,267,000    
Revolving credit facility | Base Rate | Minimum | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Basis spread on variable rate (as a percentage) 0.00%    
Revolving credit facility | Base Rate | Maximum | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Basis spread on variable rate (as a percentage) 1.25%    
Revolving credit facility | Eurocurrency Rate, CDOR Rate and RFR | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Basis spread on variable rate floor (as a percentage) 0.00%    
Revolving credit facility | Eurocurrency Rate, CDOR Rate and RFR | Minimum | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Basis spread on variable rate (as a percentage) 1.00%    
Revolving credit facility | Eurocurrency Rate, CDOR Rate and RFR | Maximum | 2017 Credit Agreement      
Debt Instrument [Line Items]      
Basis spread on variable rate (as a percentage) 2.25%    
Senior promissory notes      
Debt Instrument [Line Items]      
Short-and long-term debt, excluding finance leases $ 10,000,000 $ 10,000,000  
Senior promissory notes | Note Purchase Agreement      
Debt Instrument [Line Items]      
Principal amount $ 10,000,000    
Fixed interest rate 4.90%    
Other | Sale Leaseback Arrangement      
Debt Instrument [Line Items]      
Effective interest rate 1.79%    
Net purchase option $ 1,508,000