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Long-Term Debt - Additional Information (Details) - USD ($)
$ in Millions
6 Months Ended
Apr. 22, 2022
Feb. 21, 2019
Aug. 15, 2018
Apr. 28, 2017
Dec. 18, 2013
Mar. 31, 2022
Mar. 31, 2021
Dec. 31, 2021
Sep. 30, 2021
Sep. 20, 2021
Debt Instrument [Line Items]                    
Debt repayments           $ 5.2 $ 5.2      
Debt voluntary repayment           95.0 24.6      
Debt borrowings during the period           147.0 24.0      
Long-term debt, fair value           1,191.8     $ 1,148.7  
Receivables Financing Agreement | Wholly-owned Subsidiary                    
Debt Instrument [Line Items]                    
Borrowings repaid   $ 200.0   $ 175.0       $ 250.0   $ 235.0
Debt instrument, maturity date   Feb. 20, 2022   Apr. 27, 2020            
Debt voluntary repayment           147.0 24.5      
Debt borrowings during the period           95.0 24.6      
Credit Agreement | First Lien Credit Facility Term Loans                    
Debt Instrument [Line Items]                    
Credit agreement date         Dec. 18, 2013          
Debt instrument, term         7 years          
Borrowings repaid         $ 1,460.0          
Credit Agreement | First Lien Revolving Credit Facility                    
Debt Instrument [Line Items]                    
Debt instrument, term         5 years          
Borrowings repaid         $ 210.0          
Amended Credit Agreement | First Lien Revolving Credit Facility                    
Debt Instrument [Line Items]                    
Debt instrument, term     5 years              
Borrowings repaid     $ 260.0              
Amended Credit Agreement | Series B Term Loan                    
Debt Instrument [Line Items]                    
Debt instrument, term     7 years              
Borrowings repaid     $ 1,037.0              
Debt instrument, original discount     $ 2.8              
Debt instrument, effective interest rate     2.50%              
Debt instrument, basis spread on variable rate     2.50%              
Debt repayments           5.2 5.2      
Debt instrument, maturity date     Aug. 15, 2025              
Amended Credit Agreement | Series B Term Loan | Subsequent Event                    
Debt Instrument [Line Items]                    
Debt instrument, term 7 years                  
Borrowings repaid $ 1,200.0                  
Debt instrument, maturity date Apr. 22, 2029                  
Previous Revolving Credit Facility | First Lien Revolving Credit Facility                    
Debt Instrument [Line Items]                    
Borrowings repaid         $ 210.0          
Revolving Credit Facility | First Lien Revolving Credit Facility                    
Debt Instrument [Line Items]                    
Debt instrument, term     5 years              
Borrowings repaid     $ 260.0              
Debt repayments           $ 80.0 $ 0.0      
Debt instrument, maturity date     Aug. 15, 2023              
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%              
Revolving Credit Facility | Series B Term Loan | Subsequent Event                    
Debt Instrument [Line Items]                    
Debt instrument, term 5 years                  
Borrowings repaid $ 300.0                  
Debt instrument, maturity date Apr. 22, 2027