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Long-Term Debt (Details)
12 Months Ended
Sep. 30, 2024
USD ($)
Oct. 04, 2023
USD ($)
Oct. 03, 2023
USD ($)
Oct. 01, 2021
USD ($)
Oct. 31, 2001
USD ($)
U.S. Revolver | Credit Agreement Second Amendment          
Line of Credit Facility [Line Items]          
Revolving credit facility     $ 125,000,000    
U.S. Revolver | Credit Agreement Third Amendment          
Line of Credit Facility [Line Items]          
Revolving credit facility   $ 150,000,000.0      
Readily available cash deductible from letters of credit outstanding (lesser of)   $ 60,000,000.0      
Readily available cash percentage deductible from letters of credit (lesser of)   60.00%      
U.S. Revolver | Credit Agreement Third Amendment | Bank of America          
Line of Credit Facility [Line Items]          
Revolving credit facility   $ 100,000,000      
U.S. Revolver | Credit Agreement Third Amendment | Texas Capital Bank          
Line of Credit Facility [Line Items]          
Revolving credit facility   $ 50,000,000      
U.S. Revolver | Amended And Restated Credit Agreement          
Line of Credit Facility [Line Items]          
Revolving credit facility borrowings, outstanding amount $ 0        
Amount of credit facility remaining borrowing capacity $ 86,200,000        
Debt covenant, consolidated leverage ratio (less than) 3.0        
Debt covenant, consolidated interest coverage ratio (greater than) 3.0        
Cash collateral pledged balance $ 60,000,000        
Percentage of voting capital stock pledged as collateral 100.00%        
Non-domestic subsidiaries of voting capital stock 65.00%        
U.S. Revolver | Amended And Restated Credit Agreement | Federal Funds Rate          
Line of Credit Facility [Line Items]          
Basis spread on variable rate 0.50%        
U.S. Revolver | Amended And Restated Credit Agreement | Bloomberg Short-Term Bank Yield Index          
Line of Credit Facility [Line Items]          
Basis spread on variable rate 1.00%        
U.S. Revolver | Amended And Restated Credit Agreement | Base Rate | Minimum          
Line of Credit Facility [Line Items]          
Basis spread on variable rate 0.00%        
U.S. Revolver | Amended And Restated Credit Agreement | Base Rate | Maximum          
Line of Credit Facility [Line Items]          
Basis spread on variable rate 2.00%        
U.S. Revolver | Amended And Restated Credit Agreement | Financial Standby Letter of Credit          
Line of Credit Facility [Line Items]          
Guarantee liability, letters of credit $ 63,800,000        
Industrial Development Revenue Bonds          
Line of Credit Facility [Line Items]          
Borrowings         $ 8,000,000.0
Final annual redemption       $ 400,000