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Debt (Narrative) (Details)
3 Months Ended 6 Months Ended
Nov. 01, 2018
USD ($)
Nov. 01, 2017
USD ($)
Mar. 01, 2016
USD ($)
Apr. 30, 2019
USD ($)
Apr. 30, 2019
USD ($)
Oct. 31, 2018
USD ($)
Line of Credit Facility [Line Items]            
Short-term debt (Note 6)       $ 454,600,000 $ 454,600,000 $ 37,100,000
Term loans       $ 1,475,000,000 $ 1,475,000,000 $ 1,550,000,000
Required minimum Interest coverage ratio         3.00  
Required maximum total leverage ratio         3.75  
Interest coverage ratio       11.17 11.17  
Total leverage ratio       1.99 1.99  
Minimum            
Line of Credit Facility [Line Items]            
Commitment fee percentage     0.125%      
Maximum            
Line of Credit Facility [Line Items]            
Commitment fee percentage     0.25%      
2016 Credit Agreement            
Line of Credit Facility [Line Items]            
Line of credit facility, potential additional borrowing capacity     $ 750,000,000      
Revolving Credit Facility            
Line of Credit Facility [Line Items]            
Aggregate commitment amount of credit facility     $ 1,000,000,000.0      
2017 Term Loan | Base Rate | Minimum            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate   0.00%        
2017 Term Loan | Base Rate | Maximum            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate   0.75%        
2017 Term Loan | London Interbank Offered Rate (LIBOR) | Minimum            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate   1.00%        
2017 Term Loan | London Interbank Offered Rate (LIBOR) | Maximum            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate   1.75%        
2016 Credit Agreement            
Line of Credit Facility [Line Items]            
Line of credit facility, initiation date     Mar. 01, 2016      
Term loans     $ 830,000,000      
Line of credit facility interest rate margin on base rate loans percentage     1.00%      
Line of credit facility interest rate margin on foreign currency loans percentage     1.75%      
Amount available under the credit agreement       $ 999,500,000 $ 999,500,000  
2016 Credit Agreement | Federal Funds Rate            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate     0.00%      
2016 Credit Agreement | Eurodollar            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate     0.75%      
Line of Credit            
Line of Credit Facility [Line Items]            
Debt instrument, maturity date     Mar. 01, 2021      
Term Loan Agreement 2019 | Senior Notes            
Line of Credit Facility [Line Items]            
Debt term 364 days          
Debt instrument, face amount $ 400,000,000.0          
Short-term debt (Note 6)       $ 400,000,000 $ 400,000,000  
Weighted average interest rate       3.10% 3.04%  
Term Loan Agreement 2019 | Senior Notes | Base Rate            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate 0.00%          
Term Loan Agreement 2019 | Senior Notes | London Interbank Offered Rate (LIBOR)            
Line of Credit Facility [Line Items]            
Debt instrument, basis spread on variable rate 0.60%          
Senior Unsecured Term Loan Agreement | Senior Notes            
Line of Credit Facility [Line Items]            
Debt term   5 years        
Debt instrument, face amount   $ 1,425,000,000        
Interest rate       3.75% 3.75%  
Term loans       $ 1,425,000,000 $ 1,425,000,000  
Amount outstanding on credit agreement         $ 50,000,000