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Debt (Details)
€ in Thousands, $ in Thousands
12 Months Ended
Jun. 30, 2024
USD ($)
Rate
Jun. 30, 2024
EUR (€)
Rate
Jun. 30, 2023
USD ($)
Jun. 30, 2022
USD ($)
Jun. 30, 2024
EUR (€)
Rate
May 15, 2024
USD ($)
Line of Credit Facility [Line Items]            
Senior Notes $ 522,135   $ 548,300      
Debt, Long-term and Short-term, Combined Amount 1,604,295   1,637,956      
Other Long-term Debt 9,845   7,076      
Debt Instrument, Unamortized Discount (Premium) and Debt Issuance Costs, Net (12,312)   (16,033)      
Short-term debt 12,488   10,713      
Long-term debt 1,591,807   1,627,243      
Loss (gain) on early extinguishment of debt noncash adjustment (515)   (6,764) $ 0    
Payments of early redemption fees for senior notes 24,471   44,994      
Debt Instrument, Repaid, Principal 26,165          
Loss (gain) on early extinguishment of debt (666)   6,764 $ 0    
Short-term Debt [Member]            
Line of Credit Facility [Line Items]            
Debt Instrument, Unamortized Discount 3,492   $ 3,526      
Revolving Credit Facility [Member]            
Line of Credit Facility [Line Items]            
Line of Credit Facility, Current Borrowing Capacity $ 250,000          
Description of variable rate basis 0 0        
Weighted average interest rate | Rate 7.77%       7.77%  
Debt Instrument, Covenant Description if any loans made under the Revolving Credit Facility are outstanding on the last day of any fiscal quarter, then we are subject to a financial maintenance covenant that the First Lien Leverage Ratio calculated as of the last day of such quarter does not exceed 3.25 to 1.00 if any loans made under the Revolving Credit Facility are outstanding on the last day of any fiscal quarter, then we are subject to a financial maintenance covenant that the First Lien Leverage Ratio calculated as of the last day of such quarter does not exceed 3.25 to 1.00        
Revolving Credit Facility [Member] | Minimum [Member]            
Line of Credit Facility [Line Items]            
Basis spread on LIBOR 2.50% 2.50%        
Commitment fee (percentage) | Rate 0.35% 0.35%        
Revolving Credit Facility [Member] | Maximum [Member]            
Line of Credit Facility [Line Items]            
Basis spread on LIBOR 3.00% 3.00%        
Commitment fee (percentage) | Rate 0.45% 0.45%        
Senior Notes            
Line of Credit Facility [Line Items]            
Loss (gain) on early extinguishment of debt $ 1,721          
Term Loan B, Euro Tranche            
Line of Credit Facility [Line Items]            
Debt, Long-term and Short-term, Combined Amount $ 49,723       € 46,404  
Description of variable rate basis 0 0        
Basis spread on LIBOR 3.50% 3.50%        
Debt Instrument, Increase (Decrease), Net | €   € 245,346        
Term Loan B, USD Tranche            
Line of Credit Facility [Line Items]            
Debt, Long-term and Short-term, Combined Amount $ 1,034,904         $ 1,037,498
Description of variable rate basis 0.50 0.50        
Basis spread on LIBOR 3.00% 3.00% 3.50%      
Debt Instrument, Increase (Decrease), Net $ 264,361          
Term Loan B            
Line of Credit Facility [Line Items]            
Debt, Long-term and Short-term, Combined Amount 1,084,627   $ 1,098,613      
Loss (gain) on early extinguishment of debt noncash adjustment 2,236          
Loss (gain) on early extinguishment of debt $ (2,387)