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Debt - Credit Agreement - Additional Information (Details) - USD ($)
3 Months Ended 12 Months Ended
Jun. 27, 2020
Mar. 28, 2020
Dec. 28, 2019
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Nov. 19, 2021
Nov. 13, 2019
Debt Instrument [Line Items]                
Credit facility amount               $ 1,000,000,000
Voting interest in domestic subsidiaries pledged against credit facility       100.00%        
Voting interest in foreign subsidiaries pledged against credit facility       65.00%        
Leverage ratio, actual       2.23        
Senior debt leverage ratio, actual       0.71        
Fixed charge coverage ratio, actual       13.64        
Financing costs       $ 0 $ 17,107,000 $ 0    
Interest expense       50,500,000 76,400,000 43,000,000.0    
Periodic interest payment       $ 45,200,000 $ 60,600,000 $ 40,800,000    
Amount paid in penalties for the early redemption of the 2024 notes $ 15,000,000.0              
Interest rate during period       3.30% 4.30% 5.40%    
Foreign Subsidiary | Subsequent Event                
Debt Instrument [Line Items]                
Long-term portion of long term debt             $ 0  
Line of Credit                
Debt Instrument [Line Items]                
Line of credit facility, maximum borrowing capacity expansion amount               $ 500,000,000
Unused commitments under credit facility       $ 550,000,000.0        
Credit facility maturity date       Feb. 13, 2025        
Basis spread on Federal Reserve Bank of New York (FRBNY) rate       0.50%        
Basis spread on adjusted LIBOR       1.00%        
Investment limit in foreign subsidiaries       $ 100,000,000        
Cash investment limit for acquisition of business       $ 200,000,000        
Total leverage ratio       4.50        
Senior secured leverage ratio       3.00        
Minimum fixed charge coverage ratio allowed under debt covenant       3.00        
Financing costs   $ 2,000,000.0 $ 1,000,000.0          
Line of Credit | Minimum                
Debt Instrument [Line Items]                
Variable interest rate, length of time between updates       30 days        
Credit facility commitment fees percentage       0.175%        
Line of Credit | Minimum | London Interbank Offered Rate (LIBOR)                
Debt Instrument [Line Items]                
Basis spread on variable rate       1.25%        
Line of Credit | Minimum | Base Rate                
Debt Instrument [Line Items]                
Basis spread on variable rate       0.25%        
Line of Credit | Maximum                
Debt Instrument [Line Items]                
Variable interest rate, length of time between updates       180 days        
Credit facility commitment fees percentage       0.30%        
Line of Credit | Maximum | London Interbank Offered Rate (LIBOR)                
Debt Instrument [Line Items]                
Basis spread on variable rate       1.75%        
Line of Credit | Maximum | Base Rate                
Debt Instrument [Line Items]                
Basis spread on variable rate       0.75%        
Secured Debt | Revolving Loan, Reset Period One                
Debt Instrument [Line Items]                
Interest rate at period end       1.69%