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Debt - Details of Long-term Debt Table (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Debt Instruments    
Total $ 1,813,168 $ 1,609,296
Variable-rate tranche    
Debt Instruments    
Total $ 422,625 424,000
Variable-rate tranche | LIBOR    
Debt Instruments    
Percentage points added to the reference rate 2.25%  
Fixed-rate tranche    
Debt Instruments    
Total $ 213,163 300,000
Interest rate (as a percent) 4.50%  
Senior notes due Apr. 2025    
Debt Instruments    
Total $ 300,000  
Interest rate (as a percent) 8.75%  
Senior notes due Nov. 2023    
Debt Instruments    
Total $ 197,419 197,419
Interest rate (as a percent) 5.50%  
Senior notes due Dec. 2025    
Debt Instruments    
Total $ 679,961 $ 687,877
Interest rate (as a percent) 5.625%