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Long Term Debt - Repayments (Details) - USD ($)
$ in Millions
12 Months Ended
Jul. 26, 2022
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   $ 2,049.5 $ 349.8 $ 1,661.1
Gross Exchanges of Long-term debt   0.0 99.9 1,182.3
Estimated future interest payments on debt   1,724.9    
Estimated future interest payments on debt, next twelve months   360.7    
Long-Term Debt, Maturity, Year One   1.2    
Long-Term Debt, Maturity, Year Two   1.2    
Long-Term Debt, Maturity, Year Three   576.3    
Long-Term Debt, Maturity, Year Four   465.4    
Long-Term Debt, Maturity, Year Five   $ 0.0    
Debt Covenant, Leverage Ratio   4.25    
Debt Covenant, Percentage of Revolving Credit Commitments   30.00%    
Maximum        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt       450.0
Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   $ 0.7 (42.9) (73.7)
Write-off of Unamortized Debt Discount/(Premium)   (4.6) (0.9) (15.3)
Write off of Deferred Debt Issuance Cost   6.0 3.3 16.4
Municipal Bonds        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   1.1 1.1 1.1
Gross Exchanges of Long-term debt   0.0 0.0 0.0
Municipal Bonds | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   0.0 0.0 0.0
Write-off of Unamortized Debt Discount/(Premium)   0.0 0.0 0.0
Write off of Deferred Debt Issuance Cost   0.0 0.0 0.0
Revolving Credit Facility        
Extinguishment of Debt [Line Items]        
Repayments of Lines of Credit   645.0    
Gross Exchanges of Long-term debt   0.0    
Revolving Credit Facility | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   0.0    
Write-off of Unamortized Debt Discount/(Premium)   0.0    
Write off of Deferred Debt Issuance Cost   $ 0.0    
Third Incremental Term Loan | Term Loan        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt     30.1  
Gross Exchanges of Long-term debt     99.9  
Third Incremental Term Loan | Term Loan | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums     0.0  
Write-off of Unamortized Debt Discount/(Premium)     0.0  
Write off of Deferred Debt Issuance Cost     1.1  
4.625% Senior Notes Maturing in April 2030 | Senior Notes        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt $ 139.8   96.8 167.8
Gross Exchanges of Long-term debt     0.0 $ 0.0
Debt Instrument, Issuance Price, Percentage of Par Value       87.00%
Debt Issuance, Tender Premium, Percentage of Par Value       5.00%
Gross Repayments of Long-term debt, percentage       8.00%
Debt Instrument, Interest Rate, Stated Percentage   4.625%    
4.625% Senior Notes Maturing in April 2030 | Senior Notes | Maximum        
Extinguishment of Debt [Line Items]        
Debt Instrument, Issuance Price, Percentage of Par Value       88.00%
4.625% Senior Notes Maturing in April 2030 | Senior Notes | Minimum        
Extinguishment of Debt [Line Items]        
Debt Instrument, Issuance Price, Percentage of Par Value       81.00%
4.625% Senior Notes Maturing in April 2030 | Senior Notes | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums     (11.4) $ (21.9)
Write-off of Unamortized Debt Discount/(Premium)     (0.9) (1.8)
Write off of Deferred Debt Issuance Cost     0.5 1.1
4.50% Senior Notes Maturing in September 2031 | Senior Notes        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt $ 381.8 $ 69.1 220.8 529.5
Gross Exchanges of Long-term debt   $ 0.0 0.0 $ 0.0
Debt Instrument, Issuance Price, Percentage of Par Value       86.00%
Debt Issuance, Tender Premium, Percentage of Par Value       5.00%
Gross Repayments of Long-term debt, percentage       22.00%
Debt Instrument, Interest Rate, Stated Percentage   4.50%    
4.50% Senior Notes Maturing in September 2031 | Senior Notes | Maximum        
Extinguishment of Debt [Line Items]        
Debt Instrument, Issuance Price, Percentage of Par Value       87.00%
4.50% Senior Notes Maturing in September 2031 | Senior Notes | Minimum        
Extinguishment of Debt [Line Items]        
Debt Instrument, Issuance Price, Percentage of Par Value       80.00%
4.50% Senior Notes Maturing in September 2031 | Senior Notes | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   $ (7.9) (31.5) $ (74.7)
Write-off of Unamortized Debt Discount/(Premium)   0.0 0.0 0.0
Write off of Deferred Debt Issuance Cost   $ 0.5 $ 1.7 6.0
5.50% Senior Notes Maturing in December 2029 | Senior Notes        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt       15.0
Gross Exchanges of Long-term debt       0.0
Debt Instrument, Interest Rate, Stated Percentage   5.50% 5.50%  
5.50% Senior Notes Maturing in December 2029 | Senior Notes | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums       (1.2)
Write-off of Unamortized Debt Discount/(Premium)       (0.2)
Write off of Deferred Debt Issuance Cost       0.1
5.75% Senior Notes Maturing March 2027 | Senior Notes        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   $ 459.3   840.0
Gross Exchanges of Long-term debt   $ 0.0   $ 0.0
Debt Instrument, Interest Rate, Stated Percentage   5.75%    
Debt Instrument, Redemption Price, Percentage       102.875%
5.75% Senior Notes Maturing March 2027 | Senior Notes | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   $ 4.4   $ 24.1
Write-off of Unamortized Debt Discount/(Premium)   (4.6)   (13.3)
Write off of Deferred Debt Issuance Cost   $ 1.6   5.0
First Incremental Term Loan | Term Loan        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt       0.0
Gross Exchanges of Long-term debt       840.0
First Incremental Term Loan | Term Loan | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums       0.0
Write-off of Unamortized Debt Discount/(Premium)       0.0
Write off of Deferred Debt Issuance Cost       3.5
Second Incremental Term Loan | Term Loan        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt       107.7
Gross Exchanges of Long-term debt       342.3
Second Incremental Term Loan | Term Loan | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums       0.0
Write-off of Unamortized Debt Discount/(Premium)       0.0
Write off of Deferred Debt Issuance Cost       0.7
4.50% and 4.625% Senior Notes | Senior Notes        
Extinguishment of Debt [Line Items]        
Payment of tender fees       1.7
Repayment of debt, including premium       $ 450.0
2.50% convertible senior notes maturing in August 2027 | Senior Notes        
Extinguishment of Debt [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage   2.50%    
Long-Term Debt, Maturity, Year Five   $ 575.0    
5.625% Senior Notes Maturing January 2028 | Maximum        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   475.0    
5.625% Senior Notes Maturing January 2028 | Senior Notes        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   475.0 $ 1.0  
Gross Exchanges of Long-term debt   $ 0.0 0.0  
Debt Issuance, Tender Premium, Percentage of Par Value   5.00%    
Payment of tender fees   $ 0.9    
Debt Instrument, Interest Rate, Stated Percentage   5.625%    
Repayment of debt, including premium   $ 479.2    
Spread on tender offer   0.50%    
Debt Instrument, Redemption Price, Percentage   100.884%    
5.625% Senior Notes Maturing January 2028 | Senior Notes | Maximum        
Extinguishment of Debt [Line Items]        
Debt Instrument, Redemption Price, Percentage   101.875%    
5.625% Senior Notes Maturing January 2028 | Senior Notes | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   $ 4.2 0.0  
Write-off of Unamortized Debt Discount/(Premium)   0.0 0.0  
Write off of Deferred Debt Issuance Cost   2.5 $ 0.0  
Fourth Incremental Term Loan | Term Loan        
Extinguishment of Debt [Line Items]        
Gross Repayments of Long-term debt   400.0    
Gross Exchanges of Long-term debt   0.0    
Fourth Incremental Term Loan | Term Loan | Loss on extinguishment of debt, net        
Extinguishment of Debt [Line Items]        
Payment (Proceeds) for debt discounts and premiums   0.0    
Write-off of Unamortized Debt Discount/(Premium)   0.0    
Write off of Deferred Debt Issuance Cost   $ 1.4    
6.375% Senior Notes Maturing in March 2033 | Senior Notes        
Extinguishment of Debt [Line Items]        
Debt Instrument, Interest Rate, Stated Percentage   6.375%