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Long-Term Debt - Additional Information (Details) - USD ($)
6 Months Ended
Feb. 19, 2021
Feb. 21, 2019
Aug. 15, 2018
Apr. 28, 2017
Dec. 18, 2013
Mar. 31, 2021
Mar. 31, 2020
Sep. 21, 2021
Sep. 30, 2020
Debt Instrument [Line Items]                  
Debt repayments           $ 5,200,000 $ 5,200,000    
Debt borrowings during the period           24,000,000.0 80,000,000.0    
Debt voluntary repayment           24,600,000 50,000,000.0    
Level 2 Inputs                  
Debt Instrument [Line Items]                  
Long-term debt, fair value           $ 1,140,900,000     $ 1,143,500,000
Receivables Financing Agreement | Wholly-owned Subsidiary                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity $ 235,000,000.0 $ 200,000,000.0   $ 175,000,000.0          
Debt instrument, maturity date Sep. 20, 2021 Feb. 20, 2022   Apr. 27, 2020   Feb. 20, 2024      
Debt borrowings during the period           $ 24,500,000 80,000,000.0    
Debt voluntary repayment           24,600,000 50,000,000.0    
Receivables Financing Agreement | Wholly-owned Subsidiary | Subsequent Event                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity               $ 250,000,000.0  
Credit Agreement | First Lien Credit Facility Term Loans                  
Debt Instrument [Line Items]                  
Credit agreement date         Dec. 18, 2013        
Debt instrument, term         7 years        
Credit agreement, maximum borrowing capacity         $ 1,460,000,000.0        
Credit Agreement | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt instrument, term         5 years        
Credit agreement, maximum borrowing capacity         $ 210,000,000.0        
Amended Credit Agreement                  
Debt Instrument [Line Items]                  
Credit agreement date     Aug. 15, 2018            
Amended Credit Agreement | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt instrument, term     5 years            
Credit agreement, maximum borrowing capacity     $ 260,000,000.0            
Amended Credit Agreement | Series B Term Loan                  
Debt Instrument [Line Items]                  
Debt instrument, term     7 years            
Credit agreement, maximum borrowing capacity     $ 1,037,000,000.0            
Debt instrument, original discount     $ 2,800,000            
Debt instrument, basis spread on variable rate     2.50%            
Debt repayments           5,200,000 5,200,000    
Previous Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity                 210,000,000.0
Line of credit facility, amount outstanding balance           0     $ 0
Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity     $ 260,000,000.0            
Debt repayments           0 10,000,000.0    
Debt instrument, maturity date     Aug. 15, 2023            
Debt borrowings during the period           $ 0 $ 70,000,000.0    
Revolving Credit Facility | First Lien Revolving Credit Facility | LIBOR | Minimum                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate     2.00%            
Revolving Credit Facility | First Lien Revolving Credit Facility | LIBOR | Maximum                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate     2.50%