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Debt - Senior Credit Agreement (Details) - USD ($)
12 Months Ended
Apr. 12, 2019
Sep. 30, 2022
Sep. 30, 2021
Debt Instrument [Line Items]      
Term Loan   $ 1,700,000,000  
Secured Debt | Line of Credit      
Debt Instrument [Line Items]      
Term Loan   460,000,000  
Payments for Loans   $ 15,000,000  
2019 Credit Facilities      
Debt Instrument [Line Items]      
Principal amount of line of credit $ 1,050,000,000    
2019 Credit Facilities | Minimum | London Interbank Offered Rate (LIBOR)      
Debt Instrument [Line Items]      
Debt instrument, basis spread on variable rate   1.375%  
2019 Credit Facilities | Minimum | Base Rate      
Debt Instrument [Line Items]      
Debt instrument, basis spread on variable rate   0.375%  
2019 Credit Facilities | Maximum | London Interbank Offered Rate (LIBOR)      
Debt Instrument [Line Items]      
Debt instrument, basis spread on variable rate   2.00%  
2019 Credit Facilities | Maximum | Base Rate      
Debt Instrument [Line Items]      
Debt instrument, basis spread on variable rate   1.00%  
2019 Term Loans | Secured Debt | Line of Credit      
Debt Instrument [Line Items]      
Principal amount of line of credit $ 575,000,000    
Term of debt 5 years    
Long-term debt, maturity, quarterly payments   $ 14,400,000  
2019 Term Loans | Revolver | Line of Credit      
Debt Instrument [Line Items]      
Principal amount of line of credit $ 475,000,000    
2019 Revolver | Revolver | Line of Credit      
Debt Instrument [Line Items]      
Term of debt 5 years    
Line of credit, sublimit $ 100,000,000    
Remaining borrowing capacity   470,000,000  
Term Loan | Secured Debt | Line of Credit      
Debt Instrument [Line Items]      
Term Loan   460,000,000.0 $ 475,000,000
Term Loan | Revolver | Line of Credit      
Debt Instrument [Line Items]      
Letters of credit outstanding   $ 5,000,000