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Derivative and Hedging Instruments - Effect of the Interest Rate Swap Agreements (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Derivative Instruments and Hedging Activities Disclosure [Abstract]    
Gain or (Loss) Recognized in Accumulated Other Comprehensive Loss (effective Portion) $ 4,926 $ (2,066)
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings 3,776 0
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings 3,776 0
Floorplan Interest Expense    
Derivative Instruments and Hedging Activities Disclosure [Abstract]    
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings 1,970 0
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings 1,970 0
Interest Expense, Debt    
Derivative Instruments and Hedging Activities Disclosure [Abstract]    
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings 1,806 0
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Gain or (Loss) Reclassified from Accumulated Other Comprehensive Loss to Earnings $ 1,806 $ 0