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Long-Term Debt - Rates and Ratios (Details)
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Feb. 26, 2021
Debt Instrument      
Debt covenant, leverage ratio 6.00    
Reduction in interest rate margin, basis points     100
Premium on early repayment of debt 1.00%    
Term Loan      
Debt Instrument      
Interest rate, stated percentage 4.75% 6.00%  
Term Loan | One-Month Eurodollar      
Debt Instrument      
Basis spread on variable interest rate 1.00% 1.00%  
Term Loan | One-Month Eurodollar | Minimum      
Debt Instrument      
Basis spread on variable interest rate 0.75% 1.00%  
Term Loan | Federal Funds      
Debt Instrument      
Basis spread on variable interest rate 0.50% 0.50%  
Term Loan | Base Rate      
Debt Instrument      
Basis spread on variable interest rate 3.00% 4.00%  
Term Loan | Eurodollar      
Debt Instrument      
Basis spread on variable interest rate 4.00% 5.00%  
Revolving Credit Facility      
Debt Instrument      
Unused capacity on line of credit commitment fee percentage 0.50%    
Interest rate, stated percentage   5.25%  
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    
Revolving Credit Facility | High-End Ratio      
Debt Instrument      
Debt covenant, leverage ratio 3.50    
Revolving Credit Facility | Low-End Ratio      
Debt Instrument      
Debt covenant, leverage ratio 2.50