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Long-Term Debt - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Apr. 22, 2022
Apr. 04, 2022
Dec. 18, 2013
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Jun. 22, 2022
Dec. 31, 2021
Sep. 30, 2021
Sep. 20, 2021
Debt Instrument [Line Items]                      
Debt repayments           $ 1,003.3 $ 7.8        
Loss on debt extinguishment [1]       $ 12.6 $ 0.0 12.6 0.0        
Debt voluntary repayment           203.0 24.6        
Debt borrowings during the period           223.7 24.0        
Long-term debt, fair value       $ 1,311.5   1,311.5       $ 1,148.7  
Receivables Financing Agreement | Wholly-owned Subsidiary                      
Debt Instrument [Line Items]                      
Borrowings repaid               $ 275.0 $ 250.0   $ 235.0
Debt voluntary repayment           224.0 24.5        
Debt borrowings during the period           203.0 24.6        
Series B Term Loan | ABR [Member]                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 1.50%                    
Series B Term Loan | SOFR                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 0.50%                    
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                      
Debt Instrument [Line Items]                      
Loss on debt extinguishment $ (12.6)                    
Amended Credit Agreement | First Lien Revolving Credit Facility                      
Debt Instrument [Line Items]                      
Debt instrument, term 5 years                    
Borrowings repaid $ 300.0                    
Amended Credit Agreement | Series B Term Loan                      
Debt Instrument [Line Items]                      
Debt instrument, term 7 years                    
Borrowings repaid $ 1,200.0                    
Debt instrument, original discount $ 12.0                    
Debt instrument, effective interest rate 3.42%                    
Debt repayments   $ 1,003.3         7.8        
Debt instrument, maturity date Apr. 22, 2029                    
Previous Revolving Credit Facility | First Lien Revolving Credit Facility                      
Debt Instrument [Line Items]                      
Borrowings repaid $ 260.0                    
Revolving Credit Facility | ABR [Member]                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 1.00%                    
Revolving Credit Facility | SOFR                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 0.00%                    
Revolving Credit Facility | First Lien Revolving Credit Facility                      
Debt Instrument [Line Items]                      
Debt instrument, term 5 years                    
Borrowings repaid $ 300.0                    
Debt repayments           165.0 $ 0.0        
Debt instrument, maturity date Apr. 22, 2027                    
Debt borrowings during the period           $ 165.0          
Revolving Credit Facility | Series B Term Loan | ABR [Member]                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 2.25%                    
Revolving Credit Facility | Series B Term Loan | ABR [Member] | Minimum                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 1.00%                    
Revolving Credit Facility | Series B Term Loan | ABR [Member] | Maximum                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 1.50%                    
Revolving Credit Facility | Series B Term Loan | SOFR                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 3.25%                    
Revolving Credit Facility | Series B Term Loan | SOFR | Minimum                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 2.00%                    
Revolving Credit Facility | Series B Term Loan | SOFR | Maximum                      
Debt Instrument [Line Items]                      
Debt instrument, basis spread on variable rate 2.50%                    
[1] Represents losses on the extinguishment of debt related to Amendment No. 6 to the Credit Agreement and includes the write-off of deferred finance fees and original issue discount.