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Debt and Bank Credit Facilities (Narrative) (Details)
$ in Millions
12 Months Ended
Sep. 30, 2021
USD ($)
Feb. 15, 2021
USD ($)
Aug. 27, 2018
USD ($)
Jan. 01, 2022
USD ($)
Jan. 02, 2021
USD ($)
Dec. 28, 2019
USD ($)
Nov. 04, 2021
USD ($)
Oct. 04, 2021
Oct. 03, 2021
USD ($)
Mar. 17, 2021
USD ($)
Debt Instrument [Line Items]                    
Repayments of long-term borrowings       $ 451.1 $ 50.4 $ 90.3        
Long-term debt       1,922.2            
Fair value of debt       $ 1,918.5 $ 1,085.8          
Letter of Credit                    
Debt Instrument [Line Items]                    
Principal amount     $ 50.0              
Multicurrency Revolving Facility                    
Debt Instrument [Line Items]                    
Principal amount     750.0       $ 1,000.0     $ 250.0
Additional capacity             $ 250.0      
Notes Payable, Other Payables                    
Debt Instrument [Line Items]                    
Weighted average interest rate of other notes payable       5.20% 4.90%          
Credit Agreement                    
Debt Instrument [Line Items]                    
Revolving credit facility                 $ 1,500.0  
Long-term debt                 620.0  
Debt instrument, consolidated debt to EBIDTA, ratio               4.00    
Debt instrument, consolidated cash interest expense to ebidta, ratio               3.00    
Credit Agreement | Multicurrency Revolving Facility                    
Debt Instrument [Line Items]                    
Revolving credit facility                 380.0  
Credit Agreement | A&R Land Credit Agreement                    
Debt Instrument [Line Items]                    
Long-term debt                 $ 486.0  
Term Facility                    
Debt Instrument [Line Items]                    
Principal amount     $ 900.0              
Debt term     5 years              
Amortization rate per annum     5.00%              
Amortization rate per annum, after 3 years     7.50%              
Amortization rate per annum, last 3 years     10.00%              
Weighted average interest rate       1.20% 2.00%          
Percent of certain cash proceeds received for required repayment     100.00%              
Repayments of long-term borrowings       $ 50.0 $ 50.0          
Term Facility | Multicurrency Revolving Facility                    
Debt Instrument [Line Items]                    
Weighted average interest rate       1.20% 1.90%          
Available borrowing capacity under the Facility       $ 263.2            
Average balance outstanding under the Facility       163.6 $ 150.4          
Term Facility | Multicurrency Revolving Facility | Letter of Credit                    
Debt Instrument [Line Items]                    
Revolving credit facility       0.1            
Multicurrency Revolving Facility                    
Debt Instrument [Line Items]                    
Principal amount     $ 500.0              
Debt term     5 years              
Line of Credit | Multicurrency Revolving Facility                    
Debt Instrument [Line Items]                    
Revolving credit facility       736.7            
Senior Notes                    
Debt Instrument [Line Items]                    
Long-term debt       0.0 400.0          
Senior Notes | Senior Notes 2023                    
Debt Instrument [Line Items]                    
Extinguishment of debt, amount $ 184.0                  
Extinguishment of debt, make-whole payment $ 12.7                  
Other                    
Debt Instrument [Line Items]                    
Long-term debt       78.7 $ 4.6          
Bridge Loan                    
Debt Instrument [Line Items]                    
Principal amount   $ 2,100.0                
Debt term   364 days                
Bridge Loan | Land Commitment Letter                    
Debt Instrument [Line Items]                    
Principal amount   $ 487.0                
Available borrowing capacity under the Facility       $ 486.8            
Weighted average interest rate       1.30%