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Debt - Senior Notes (Details) - USD ($)
12 Months Ended
Apr. 16, 2024
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Apr. 29, 2024
Debt Instrument [Line Items]          
Gain (loss) on extinguishment of debt   $ 0 $ (5,100,000) $ 0  
Line of Credit | Revolver          
Debt Instrument [Line Items]          
Proceeds from long-term lines of credit $ 175,000,000.0        
2031 Notes | Senior Notes          
Debt Instrument [Line Items]          
Interest rate of debt   3.625%      
Aggregate principal amount   $ 535,000,000.0 535,000,000.0    
2030 Notes          
Debt Instrument [Line Items]          
Debt instrument, repurchase amount $ 598,300,000       $ 1,700,000
Gain (loss) on extinguishment of debt     $ (5,100,000)    
2030 Notes | Senior Notes          
Debt Instrument [Line Items]          
Interest rate of debt 4.25%        
Aggregate principal amount $ 600,000,000.0        
Percent of principal amount redeemed 99.70%