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Long-Term Debt - Additional Information (Details) - USD ($)
$ in Millions
9 Months Ended
Feb. 21, 2019
Aug. 15, 2018
Apr. 28, 2017
Dec. 18, 2013
Jun. 30, 2021
Jun. 30, 2020
Dec. 31, 2021
Sep. 20, 2021
Sep. 30, 2020
Debt Instrument [Line Items]                  
Debt repayments         $ 7.8 $ 7.8      
Debt borrowings during the period         24.0 80.0      
Debt voluntary repayment         24.6 50.0      
Long-term debt, fair value         1,138.3       $ 1,143.5
Receivables Financing Agreement | Wholly-owned Subsidiary                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity $ 200.0   $ 175.0       $ 250.0 $ 235.0  
Debt instrument, maturity date Feb. 20, 2022   Apr. 27, 2020            
Debt borrowings during the period         24.6 50.0      
Debt voluntary repayment         $ 24.5 80.0      
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         $ 1,460.0        
Credit Agreement | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt instrument, term       5 years          
Credit agreement, maximum borrowing capacity         210.0        
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   $ 260.0              
Amended Credit Agreement | Series B Term Loan                  
Debt Instrument [Line Items]                  
Debt instrument, term   7 years              
Credit agreement, maximum borrowing capacity   $ 1,037.0              
Debt instrument, original discount   $ 2.8              
Debt instrument, basis spread on variable rate   2.50%              
Debt repayments           7.8      
Previous Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity       $ 210.0          
Line of credit facility, amount outstanding balance         0.0       $ 0.0
Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt repayments         0.0        
Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity   $ 260.0              
Debt repayments         $ 0.0        
Debt instrument, maturity date   Aug. 15, 2023              
Debt borrowings during the period           $ 70.0      
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%