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Long-Term Debt - Additional Information (Details) - USD ($)
9 Months Ended
Mar. 31, 2022
Jun. 30, 2025
Jun. 30, 2024
Debt Instrument [Line Items]      
Amortization of debt issuance costs   $ 6,500,000 $ 4,800,000
Interest paid   $ 68,500,000  
Weighted-average interest rate   6.50%  
Fair Value | Level 2      
Debt Instrument [Line Items]      
Long-term debt   $ 1,430,800,000  
Reported Value Measurement | Level 2      
Debt Instrument [Line Items]      
Long-term debt   1,468,300,000  
Term Loan due March 2029 | Secured Debt      
Debt Instrument [Line Items]      
Face amount $ 950,000,000    
Term 7 years    
Basis spread on variable rate 3.00%    
Variable rate floor 0.50%    
Discount percentage 0.50%    
Quarterly payment as a percentage of principal 0.25%    
Repayment of debt   112,200,000  
Repayment of secured debt, discretionary   105,000,000.0  
Revolving Credit Facility | Secured Debt | Revolving Credit Facility      
Debt Instrument [Line Items]      
Term 5 years    
Maximum borrowing capacity $ 500,000,000    
Commitment fee percentage 0.25%    
Amount drawn   $ 0  
5.00% Senior Secured Notes due 2030 | Senior Notes      
Debt Instrument [Line Items]      
Stated interest rate   5.00%  
6.75% Senior Secured Notes due 2030 | Senior Notes      
Debt Instrument [Line Items]      
Stated interest rate   6.75%