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Borrowings - Fiscal 2024 Refinancing Transactions Narrative (Details)
€ in Millions, £ in Millions, $ in Millions, $ in Millions
12 Months Ended
Aug. 02, 2024
USD ($)
Mar. 27, 2024
USD ($)
Mar. 26, 2024
Oct. 02, 2023
USD ($)
Sep. 27, 2024
USD ($)
Sep. 29, 2023
USD ($)
Aug. 02, 2024
CAD ($)
Aug. 02, 2024
EUR (€)
Aug. 02, 2024
GBP (£)
Apr. 27, 2020
USD ($)
Secured Debt                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         $ 0.4          
Secured Debt | Interest Expense, net                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         1.6          
Secured Debt | Interest and Other Financing Costs, Net                    
Debt Instrument [Line Items]                    
Write off of deferred debt issuance cost         $ 1.2 $ 2.5        
Secured Debt | Base Rate | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate         0.125%          
Secured Debt | Base Rate | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate         0.625%          
US Denominated Term A Loans, Due 2029 | Secured Debt | SOFR Credit Spread Adjustment Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.00%                  
U.S. Term A-1 Loans, Due 2029 | Secured Debt | SOFR Credit Spread Adjustment Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.00%                  
US Denominated Term B-7 Loan, Due 2028 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt   $ 730.5                
US Denominated Term B-8 Loans, Due 2030 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt   $ 1,094.5                
U.S. Term B-7 Loans Due 2028 | Secured Debt                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         $ 0.9          
U.S. Term B-7 Loans Due 2028 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate   2.00%                
U.S. Term B-7 Loans Due 2028 | Secured Debt | SOFR Credit Spread Adjustment Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate   0.00%                
U.S. Term B-8 Loans Due 2030 | Secured Debt                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         $ 0.9          
U.S. Term B-8 Loans Due 2030 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate   2.00%                
U.S. Term B-8 Loans Due 2030 | Secured Debt | SOFR Credit Spread Adjustment Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate   0.00%                
U.S. Term B-6 Loans Due 2030 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     2.50%              
U.S. Term B-6 Loans Due 2030 | Secured Debt | SOFR Credit Spread Adjustment Rate | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     0.11448%              
U.S. Term B-6 Loans Due 2030 | Secured Debt | SOFR Credit Spread Adjustment Rate | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     0.42826%              
U.S. Term B-5 Loans Due 2028 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     2.50%              
U.S. Term B-5 Loans Due 2028 | Secured Debt | SOFR Credit Spread Adjustment Rate | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     0.11448%              
U.S. Term B-5 Loans Due 2028 | Secured Debt | SOFR Credit Spread Adjustment Rate | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate     0.42826%              
6.375% Senior Unsecured Notes due May 2025 | Senior Notes                    
Debt Instrument [Line Items]                    
Interest rate stated percentage         6.375%          
Amortization of debt issuance costs       $ 31.8            
Repayments of debt       1,500.0            
Debt premium       23.9            
6.375% Senior Unsecured Notes due May 2025 | Senior Notes | Long-term borrowings                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs                   $ 22.3
6.375% Senior Unsecured Notes due May 2025 | Senior Notes | Interest Expense, net                    
Debt Instrument [Line Items]                    
Write off of deferred debt issuance cost       $ 7.9            
Revolving Credit Facility | Secured Debt                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         $ 0.2          
Revolving Credit Facility | Secured Debt | Other assets                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         5.8          
Revolving Credit Facility | Secured Debt | Long-term borrowings                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         1.8          
Revolving Credit Facility | Secured Debt | Interest Expense, net                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         1.3          
Revolving Credit Facility | Secured Debt | Interest and Other Financing Costs, Net                    
Debt Instrument [Line Items]                    
Write off of deferred debt issuance cost         1.1          
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt $ 1,400.0                  
Unused capacity, commitment fee percentage 0.30%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.00%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Canadian Prime Rate (CORRA)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.00%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Fed Funds Effective Rate Overnight Index Swap Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.50%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.625%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Sterling Overnight Index Average (SONIA)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.6576%                  
Revolving Credit Facility | 2024 Tranche Revolving Credit Commitments Due August 2029 | Secured Debt | Base Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.625%                  
Revolving Credit Facility | Canadian Denominated Term A-4 Loans Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt             $ 214.6      
Revolving Credit Facility | Canadian Denominated Term A-4 Loans Due 2029 | Secured Debt | Canadian Prime Rate (CORRA)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.00%                  
Revolving Credit Facility | Canadian Denominated Term A-4 Loans Due 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.625%                  
Revolving Credit Facility | Canadian Denominated Term A-4 Loans Due 2029 | Secured Debt | Canadian Base Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.625%                  
Revolving Credit Facility | Euro Denominated Term A-3 Loans Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt | €               € 94.1    
Revolving Credit Facility | Euro Denominated Term A-3 Loans Due 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.625%                  
Revolving Credit Facility | US Denominated Term A Loans, Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt $ 70.7                  
Revolving Credit Facility | US Denominated Term A Loans, Due 2029 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.00%                  
Revolving Credit Facility | US Denominated Term A Loans, Due 2029 | Secured Debt | Fed Funds Effective Rate Overnight Index Swap Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.50%                  
Revolving Credit Facility | US Denominated Term A Loans, Due 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.625%                  
Revolving Credit Facility | U.S. Term A-1 Loans, Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt $ 90.0                  
Revolving Credit Facility | U.S. Term A-1 Loans, Due 2029 | Secured Debt | Secured Overnight Financing Rate (SOFR)                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.00%                  
Revolving Credit Facility | U.S. Term A-1 Loans, Due 2029 | Secured Debt | Fed Funds Effective Rate Overnight Index Swap Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.50%                  
Revolving Credit Facility | U.S. Term A-1 Loans, Due 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.625%                  
Revolving Credit Facility | GBP Term A Loans Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Long-term debt | £                 £ 62.0  
Revolving Credit Facility | GBP Term A Loans Due 2029 | Secured Debt | Margin Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 1.6576%                  
Revolving Credit Facility | 5 Point 000 Percent Senior Notes, Due April 2028 | Senior Notes                    
Debt Instrument [Line Items]                    
Interest rate stated percentage 5.00%           5.00% 5.00% 5.00%  
Revolving Credit Facility | 2021 Tranche Revolving Credit Facility | Secured Debt                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.00%                  
Revolving Credit Facility | 2021 Tranche Revolving Credit Facility | Secured Debt | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.11448%                  
Revolving Credit Facility | 2021 Tranche Revolving Credit Facility | Secured Debt | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate 0.42826%                  
Revolving Credit Facility | Foreign Denominated Term Loans, Due 2029 | Secured Debt                    
Debt Instrument [Line Items]                    
Amortization of debt issuance costs         $ 7.6