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Debt - Short-term Debt (Details) - ABL facility - USD ($)
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Debt Instruments    
Outstanding borrowing $ 500,000,000.0  
Outstanding borrowing $ 0 $ 68,500,000
Debt instrument term 5 years  
Debt instrument, maturity date May 11, 2026  
Debt instrument maturity terms a maturity date of the earlier of (i) May 11, 2026, (ii) the date which is ninety-one (91) days prior to the maturity date of any indebtedness arising under the TLB 2030 and any refinancing thereof, and (iii) the date which is ninety-one (91) days prior to the maturity date of any indebtedness arising under the 2025 Senior Notes and any refinancing thereof.  
Line of credit facility, commitment fee percentage 0.20%  
Revolving credit facility $ 482,600,000  
Prime | Minimum    
Debt Instruments    
Percentage points added to the reference rate 0.25%  
Prime | Maximum    
Debt Instruments    
Percentage points added to the reference rate 0.50%  
SOFR | Minimum    
Debt Instruments    
Percentage points added to the reference rate 1.25%  
SOFR | Maximum    
Debt Instruments    
Percentage points added to the reference rate 1.50%