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Credit Agreement (Details) - USD ($)
12 Months Ended
Jan. 12, 2021
Jan. 01, 2022
Jan. 02, 2021
Revolving credit facility      
Senior Loan Agreement      
Revolving credit facility, maximum capacity $ 175,000,000    
Revolving credit facility, increased capacity amount 50,000,000    
Borrowings on revolving line of credit outstanding   $ 0 $ 0
Percentage of stock of domestic subsidiaries pledged as collateral for borrowings   100.00%  
Percentage of stock of foreign subsidiaries pledged as collateral for borrowings   65.00%  
Value of stock in net assets pledged as collateral for borrowings   $ 33,800,000 $ 39,400,000
Revolving credit facility | Minimum      
Senior Loan Agreement      
Commitment fee payable on the unused portion of the credit facility (as a percent)   0.20%  
Ratio of consolidated interest expense to consolidated EBITDA   2.5  
Revolving credit facility | Maximum      
Senior Loan Agreement      
Commitment fee payable on the unused portion of the credit facility (as a percent)   0.35%  
Ratio of consolidated debt to consolidated EBITDA   3.0  
Revolving credit facility | Base rate | Minimum      
Senior Loan Agreement      
Interest margin (as a percent)   0.25%  
Revolving credit facility | Base rate | Maximum      
Senior Loan Agreement      
Interest margin (as a percent)   1.25%  
Revolving credit facility | Eurocurrency rate | Minimum      
Senior Loan Agreement      
Interest margin (as a percent)   1.25%  
Revolving credit facility | Eurocurrency rate | Maximum      
Senior Loan Agreement      
Interest margin (as a percent)   2.25%  
Secured by letters of credit      
Senior Loan Agreement      
Revolving credit facility, maximum capacity $ 15,000,000    
Amount available under revolving credit facility reduced   $ 4,200,000