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Long-Term Debt (Details) - USD ($)
6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 10, 2022
Sep. 30, 2021
Oct. 21, 2019
Debt Instrument          
Long-term and short-term debt, combined amount $ 949,000,000.0     $ 609,900,000  
Long-term Debt, Current Maturities 0     (116,300,000)  
Unamortized Debt Issuance Expense (10,200,000)     (4,700,000)  
Debt Instrument, Unamortized Discount 0     (7,700,000)  
Long-term debt 938,800,000     481,200,000  
Payments of debt issuance costs and deferred financing fees 11,100,000 $ 1,500,000      
Deferred financing fees 1,500,000        
7.00% Senior Notes Maturing in March 2030          
Debt Instrument          
Long-term debt, gross 840,000,000.0     0  
Revolving Credit Facility          
Debt Instrument          
Long-term debt, gross 109,000,000.0     0  
Maximum borrowing capacity on line of credit     $ 250,000,000.0    
Proceeds from borrowing under line of credit 109,000,000.0        
Remaining borrowing capacity on line of credit 141,000,000.0        
Letters of credit outstanding, amount       0  
Letter of Credit          
Debt Instrument          
Maximum borrowing capacity on line of credit     $ 20,000,000.0    
Old Revolving Credit Facility [Domain]          
Debt Instrument          
Maximum borrowing capacity on line of credit       200,000,000.0  
Proceeds from borrowing under line of credit   20,000,000.0      
Remaining borrowing capacity on line of credit       200,000,000.0  
Letters of credit outstanding, amount       0  
Repayments of lines of credit   $ 50,000,000.0      
Term Loan          
Debt Instrument          
Long-term debt, gross 0     609,900,000 $ 700,000,000.0
Periodic payment of long-term debt principal 8,750,000        
Excess cash flow prepayment (81,400,000)        
Repayments of Debt 519,800,000        
Loss on extinguishment and refinancing of debt, net 17,600,000        
Write-off of Unamortized Debt Premium 6,900,000        
Write-off of Interest Rate Swap Loss in AOCI 6,100,000        
Write off of Deferred Debt Issuance Cost 4,600,000        
Letter of Credit - Old Credit Agreement          
Debt Instrument          
Maximum borrowing capacity on line of credit       $ 20,000,000.0  
Senior Notes [Member] | 7.00% Senior Notes Maturing in March 2030          
Debt Instrument          
Long-term debt, gross 840,000,000.0        
Payments of debt issuance costs and deferred financing fees $ 10,300,000