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Short-Term Borrowings and Long-Term Debt (Narrative) (Details)
3 Months Ended 9 Months Ended
Apr. 01, 2023
Sep. 28, 2022
USD ($)
Mar. 31, 2023
USD ($)
Mar. 31, 2023
USD ($)
Mar. 31, 2022
USD ($)
Jun. 30, 2022
USD ($)
Debt Instrument [Line Items]            
Debt issuance costs, net     $ 1,700,000 $ 1,700,000    
Mississippi Revenue Bond            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       0.85%    
Maximum time period of interest (in years)       10 years    
Put option, exercisable period limitation (in days)       180 days    
Percentage of principal due on exercise of put option       100.00%    
Long-term debt, percentage bearing variable interest     5.52% 5.52%   1.97%
Mississippi Revenue Bond | Subsequent Event            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument 0.85%          
Secured Overight Financing Rate (SOFR) | Mississippi Revenue Bond | Subsequent Event            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument 0.10%          
Multi-Currency Revolving Credit Facility, Amended Credit Agreement            
Debt Instrument [Line Items]            
Line of credit facility, expiration period   5 years        
Borrowing capacity under credit facility   $ 350,000,000        
Line of credit facility, accordion feature, higher borrowing capacity option   250,000,000        
Letters of credit outstanding     $ 0 $ 0   $ 0
Debt issuance costs, gross   $ 1,400,000        
Amount of unrestricted domestic cash     $ 30,000,000 30,000,000    
Line of credit facility, unused capacity, commitment fee percentage     0.25%      
Average daily balance on revolving credit facility       227,200,000 $ 60,000,000  
Line of credit facility, remaining borrowing capacity     $ 190,800,000 $ 190,800,000   $ 214,200,000
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Minimum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       1.00%    
Line of credit facility, interest coverage ratio     3.00 3.00    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Maximum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       1.75%    
Line of credit facility, leverage ratio     3.50 3.50    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Secured Overight Financing Rate (SOFR)            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       0.10%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Secured Overight Financing Rate (SOFR) | Minimum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       1.00%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Secured Overight Financing Rate (SOFR) | Maximum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       1.75%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Alternate Base Rate Loans            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       0.50%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Alternate Base Rate Loans | Minimum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       0.00%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | Alternate Base Rate Loans | Maximum            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       0.75%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | London Interbank Offered Rate (LIBOR)            
Debt Instrument [Line Items]            
Percentage spread points on variable rate debt instrument       1.50%    
Term Loan Facility            
Debt Instrument [Line Items]            
Line of credit facility, expiration period   5 years        
Borrowing capacity under credit facility   $ 150,000,000        
Letter of Credit            
Debt Instrument [Line Items]            
Letters of credit outstanding   $ 50,000,000