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Long-Term Debt - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jan. 29, 2025
Aug. 28, 2023
Dec. 18, 2013
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
Sep. 30, 2024
Jun. 27, 2024
Debt Instrument [Line Items]                  
Debt voluntary repayment           $ 27.9 $ 82.2    
Debt borrowings during the period           14.5 0.5    
Long-term debt, fair value       $ 799.0   799.0   $ 812.4  
Receivables Financing Agreement | Wholly-owned Subsidiary                  
Debt Instrument [Line Items]                  
Credit agreement, maximum borrowing capacity                 $ 325.0
Swingline facility                 $ 50.0
Letters of credits, outstanding amount       82.3   82.3   82.3  
Debt voluntary repayment           14.5 0.5    
Debt borrowings during the period           27.9 82.2    
SOFR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 0.50%                
ABR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 1.50%                
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]                  
Debt borrowings during the period   $ 450.0              
Amended Credit Agreement | SOFR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 2.00%                
Amended Credit Agreement | ABR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate 1.00%                
Amended Credit Agreement | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt instrument, term     5 years            
Credit agreement, maximum borrowing capacity     $ 300.0            
Amended Credit Agreement | Series B Term Loan                  
Debt Instrument [Line Items]                  
Debt instrument, term     7 years            
Credit agreement, maximum borrowing capacity     $ 1,200.0            
Debt instrument, original discount     $ 12.0            
Debt repayments       0.0 $ 0.0 0.0 0.0    
Debt instrument, maturity date     Apr. 22, 2029            
Debt instrument, effective interest rate     2.16%            
Previous Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Letters of credits, outstanding amount       0.0   $ 0.0   $ 0.0  
Revolving Credit Facility | SOFR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate           0.00%      
Revolving Credit Facility | ABR                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate           1.00%      
Revolving Credit Facility | ABR | Maximum                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate           1.50%      
Revolving Credit Facility | ABR | Minimum                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate           1.00%      
Revolving Credit Facility | First Lien Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Debt repayments       $ 0.0 $ 0.0 $ 0.0 $ 0.0    
Debt instrument, maturity date           Apr. 22, 2027      
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 | First Lien Revolving Credit Facility | LIBOR | Minimum                  
Debt Instrument [Line Items]                  
Debt instrument, basis spread on variable rate           2.00%