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Short-Term Borrowings and Long-Term Debt (Narrative) (Details) - USD ($)
9 Months Ended
Apr. 01, 2023
Sep. 28, 2022
Mar. 31, 2024
Mar. 31, 2023
Jun. 30, 2023
Debt Instrument [Line Items]          
Debt issuance costs, net     $ 1,300,000    
Mississippi Revenue Bond          
Debt Instrument [Line Items]          
Percentage spread points on variable rate debt instrument     0.85%    
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     6.28%   6.11%
SOFR | Mississippi Revenue Bond          
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
Debt issuance costs, gross   $ 1,400,000      
Amount of unrestricted domestic cash     $ 30,000,000    
Percentage of spread in effect Interest rate     1.25%    
Line of credit facility, unused capacity, commitment fee percentage     0.20%    
Average daily balance on revolving credit facility     $ 94,600,000 $ 227,200,000  
Line of credit facility, remaining borrowing capacity     $ 350,000,000   $ 171,000,000
Effective interest rate     6.68%   6.74%
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    
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    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | SOFR          
Debt Instrument [Line Items]          
Percentage spread points on variable rate debt instrument     0.10%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | SOFR | Minimum          
Debt Instrument [Line Items]          
Percentage spread points on variable rate debt instrument     1.00%    
Multi-Currency Revolving Credit Facility, Amended Credit Agreement | 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     0.25%    
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%    
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