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Debt (Details)
€ in Thousands, $ in Thousands
 3 Months Ended 9 Months Ended
Mar. 31, 2024
USD ($)
Rate
Mar. 31, 2024
USD ($)
Rate
Mar. 31, 2024
EUR (€)
Rate
Jun. 30, 2023
USD ($)
Line of Credit Facility [Line Items]        
Senior Notes $ 522,135 $ 522,135   $ 548,300
Debt, Long-term and Short-term, Combined Amount 1,601,611 1,601,611   1,637,956
Other Long-term Debt 4,762 4,762   7,076
Debt Instrument, Unamortized Discount (Premium) and Debt Issuance Costs, Net (13,426) (13,426)   (16,033)
Short-term debt 10,935 10,935   10,713
Long-term debt 1,590,676 1,590,676   1,627,243
Payments of early redemption fees for senior notes   24,471    
Debt Instrument, Repaid, Principal   26,165    
Gain on early extinguishment of debt 0 1,721    
Short-term Debt [Member]        
Line of Credit Facility [Line Items]        
Debt Instrument, Unamortized Discount 3,532 3,532   3,526
Revolving Credit Facility [Member]        
Line of Credit Facility [Line Items]        
Line of Credit Facility, Current Borrowing Capacity $ 250,000 $ 250,000    
Description of variable rate basis   0    
Weighted average interest rate | Rate 7.89% 7.89% 7.89%  
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    
Revolving Credit Facility [Member] | Minimum [Member]        
Line of Credit Facility [Line Items]        
Basis spread on LIBOR   2.50%    
Commitment fee (percentage) | Rate   0.35%    
Revolving Credit Facility [Member] | Maximum [Member]        
Line of Credit Facility [Line Items]        
Basis spread on LIBOR   3.00%    
Commitment fee (percentage) | Rate   0.45%    
Term Loan B, Euro Tranche        
Line of Credit Facility [Line Items]        
Debt, Long-term and Short-term, Combined Amount $ 315,002 $ 315,002 € 291,750  
Description of variable rate basis   0    
Basis spread on LIBOR   3.50%    
Term Loan B, USD Tranche        
Line of Credit Facility [Line Items]        
Debt, Long-term and Short-term, Combined Amount 773,138 $ 773,138    
Description of variable rate basis   0.50    
Basis spread on LIBOR   3.50%    
Term Loan B        
Line of Credit Facility [Line Items]        
Debt, Long-term and Short-term, Combined Amount $ 1,088,140 $ 1,088,140   $ 1,098,613