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Borrowings - Fiscal 2021 Refinancing Transactions Narrative (Details) - Secured Debt
€ in Millions, ¥ in Millions, $ in Millions
12 Months Ended
Oct. 01, 2021
USD ($)
Apr. 06, 2021
USD ($)
Oct. 01, 2021
USD ($)
Apr. 06, 2021
CAD ($)
Apr. 06, 2021
EUR (€)
Apr. 06, 2021
JPY (¥)
United States Dollar and Canadian Dollar Term Loan Facilities            
Debt Instrument [Line Items]            
Repayments of debt     $ 194,100,000      
Revolving Credit Facility | Amendment No. 11 Amended Senior Secured Revolving Credit Facility            
Debt Instrument [Line Items]            
Line of credit facility increase   $ 200,000,000        
Maximum borrowing capacity   1,153,100,000        
Revolving Credit Facility | Canadian Term A-2 and A-3 Loan, Due April 2026            
Debt Instrument [Line Items]            
Maximum borrowing capacity       $ 276.9    
Revolving Credit Facility | Euro Term A-2 Loan, Due April 2026            
Debt Instrument [Line Items]            
Maximum borrowing capacity | €         € 78.8  
Revolving Credit Facility | Yen Term C-1 Loans, Due April 2026            
Debt Instrument [Line Items]            
Maximum borrowing capacity | ¥           ¥ 9,343.3
Revolving Credit Facility | U.S. Term B-2 Loan And U.S. Term B-5 Loans, Due April 2028            
Debt Instrument [Line Items]            
Maximum borrowing capacity   833,000,000        
Revolving Credit Facility | 2018 Tranche Revolving Commitments, Due October 2023            
Debt Instrument [Line Items]            
Credit facility, fair value outstanding   $ 53,700,000        
Revolving Credit Facility | Euro Term A-1 Loan, Due October 2023            
Debt Instrument [Line Items]            
Credit facility, fair value outstanding | €         € 33.6  
Revolving Credit Facility | Canadian Term A-2 Loan, Due October 2023            
Debt Instrument [Line Items]            
Credit facility, fair value outstanding       $ 27.1    
Revolving Credit Facility | U.S. Term B-5 Loan, Due April 2028            
Debt Instrument [Line Items]            
Amortization of debt issuance costs $ 16,800,000   $ 16,800,000      
Revolving Credit Facility | U.S. Term B-2 Loan            
Debt Instrument [Line Items]            
Write off of deferred debt issuance cost $ 2,700,000