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Borrowings - Fiscal 2018 Refinancing Transactions Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2020
Sep. 28, 2018
Sep. 27, 2019
Dec. 11, 2017
Debt Instrument [Line Items]        
Long-term debt     $ 0  
Yen Term Loan Due 2023 and Euro Term Loan Due 2023        
Debt Instrument [Line Items]        
Debt instrument term 3 years      
Canadian denominated term loan        
Debt Instrument [Line Items]        
Debt instrument term 3 years      
Secured Debt | Term Loan Facility, US Term Loan B, Due 2025        
Debt Instrument [Line Items]        
Long-term debt       $ 1,785,000
Secured Debt | Revolving Credit Facility        
Debt Instrument [Line Items]        
Long-term debt $ 849,895   $ 51,410  
Secured Debt | Term Loan Facility, US Term Loan A, Due 2022        
Debt Instrument [Line Items]        
Repayments of debt   $ 633,800    
Secured Debt | Term Loan Facility, US Term Loan A, Due 2022 | Interest and Other Financing Costs, Net        
Debt Instrument [Line Items]        
Write off of deferred debt issuance cost   5,700    
Line of Credit | Revolving Credit Facility        
Debt Instrument [Line Items]        
Proceeds from lines of credit   $ 200,000