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Long-Term Debt (Details)
3 Months Ended 6 Months Ended
Oct. 21, 2019
USD ($)
Mar. 31, 2020
USD ($)
Mar. 31, 2020
USD ($)
Mar. 31, 2019
USD ($)
Sep. 30, 2019
USD ($)
Debt Instrument          
Long-term and short-term debt, combined amount   $ 811,300,000 $ 811,300,000    
Current portion of long-term debt   (35,000,000.0) (35,000,000.0)   $ 0
Unamortized debt issuance expense   (7,500,000) (7,500,000)    
Unamortized debt discount $ (14,000,000.0) (12,400,000) (12,400,000)    
Long-term debt   $ 756,400,000 756,400,000    
Payments of debt issuance costs and deferred financing fees 9,600,000   $ 9,600,000 $ 0  
Proceeds from debt, net of discount and issuance costs 776,400,000        
Debt covenant, leverage ratio   6.00 6.00    
Bridge Loan          
Debt Instrument          
Proceeds from issuance of long-term debt     $ 1,225,000,000.0    
Interest costs incurred     2,200,000    
Repayments of Debt     (1,225,000,000.0)    
Term Loan          
Debt Instrument          
Long-term debt, gross 700,000,000.0 $ 691,300,000 $ 691,300,000    
Discount percentage on debt instrument     98.00%    
Periodic payment of long-term debt principal     $ 8,750,000    
Term Loan | Federal Funds          
Debt Instrument          
Basis spread on variable interest rate     0.50%    
Term Loan | One-Month Eurodollar          
Debt Instrument          
Basis spread on variable interest rate     1.00%    
Term Loan | Base Rate          
Debt Instrument          
Basis spread on variable interest rate     4.00%    
Term Loan | Eurodollar          
Debt Instrument          
Basis spread on variable interest rate     5.00%    
Letter of Credit          
Debt Instrument          
Maximum borrowing capacity on line of credit   20,000,000.0 $ 20,000,000.0    
Revolving Credit Facility          
Debt Instrument          
Long-term debt, gross   120,000,000.0 120,000,000.0    
Maximum borrowing capacity on line of credit   200,000,000.0 200,000,000.0    
Proceeds from borrowing under line of credit 100,000,000.0 65,000,000.0 185,000,000.0    
Repayments of lines of credit $ 20,000,000.0 25,000,000.0 65,000,000.0    
Remaining borrowing capacity on line of credit   80,000,000.0 80,000,000.0    
Letters of credit outstanding, amount   0 0    
Debt covenant, maximum undischarged judgments   $ 65,000,000.0 $ 65,000,000.0    
Unused capacity on line of credit commitment fee percentage     0.50%    
Revolving Credit Facility | Minimum          
Debt Instrument          
Unused capacity on line of credit commitment fee percentage     0.25%    
Revolving Credit Facility | Maximum          
Debt Instrument          
Unused capacity on line of credit commitment fee percentage     0.50%    
Revolving Credit Facility | Base Rate          
Debt Instrument          
Basis spread on variable interest rate     3.25%    
Revolving Credit Facility | Base Rate | Minimum          
Debt Instrument          
Basis spread on variable interest rate     2.75%    
Revolving Credit Facility | Base Rate | Median          
Debt Instrument          
Basis spread on variable interest rate     3.00%    
Revolving Credit Facility | Base Rate | Maximum          
Debt Instrument          
Basis spread on variable interest rate     3.25%    
Revolving Credit Facility | Eurodollar          
Debt Instrument          
Basis spread on variable interest rate     4.25%    
Revolving Credit Facility | Eurodollar | Minimum          
Debt Instrument          
Basis spread on variable interest rate     3.75%    
Revolving Credit Facility | Eurodollar | Median          
Debt Instrument          
Basis spread on variable interest rate     4.00%    
Revolving Credit Facility | Eurodollar | Maximum          
Debt Instrument          
Basis spread on variable interest rate     4.25%    
Revolving Credit Facility | Excess Cash Flow Ratio          
Debt Instrument          
Debt covenant, leverage ratio   3.35 3.35    
Revolving Credit Facility | High-End Ratio          
Debt Instrument          
Debt covenant, leverage ratio   3.50 3.50    
Revolving Credit Facility | Low-End Ratio          
Debt Instrument          
Debt covenant, leverage ratio   2.50 2.50