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Stock-Based Compensation (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Nov. 01, 2015
Apr. 30, 2017
Apr. 30, 2016
Apr. 30, 2017
Apr. 30, 2016
Jan. 25, 2017
Stock-Based Compensation            
Stock-based compensation expense   $ 126 $ 103 $ 278 $ 230  
Income tax benefit   (41) (30) (89) (67)  
Stock-based compensation expense from continuing operations, net of tax   85 73 189 163  
Separation costs   141 91 226 170  
Restructuring charges   $ 118 87 $ 234 253  
Restricted Stock Awards            
Shares            
Outstanding at beginning of period (in shares)       57,321,000    
Granted and assumed through acquisition (in shares)       21,405,000    
Additional shares granted due to conversion (in shares)       12,902,000    
Vested (in shares)       (36,473,000)    
Forfeited (in shares)       (2,079,000)    
Outstanding at end of period (in shares)   53,076,000   53,076,000    
Weighted-Average Grant Date Fair Value Per Share            
Outstanding at beginning of period (in dollars per share)       $ 15    
Granted and assumed through acquisition (in dollars per share)       21    
Additional shares granted due to conversion (in dollars per share)       18    
Vested (in dollars per share)       16    
Forfeited (in dollars per share)       17    
Outstanding at end of period (in dollars per share)   $ 18   $ 18    
Unrecognized pre-tax stock-based compensation expense and recognition period            
Unrecognized pre-tax stock-based compensation expense   $ 524   $ 524    
Remaining weighted-average vesting period over which pre-tax stock-based compensation expense is expected to be recognized       1 year 7 months 12 days    
Stock Options            
Unrecognized pre-tax stock-based compensation expense and recognition period            
Unrecognized pre-tax stock-based compensation expense   $ 53   $ 53    
Remaining weighted-average vesting period over which pre-tax stock-based compensation expense is expected to be recognized       1 year 4 months 12 days    
Weighted-average fair value and the assumptions used to measure fair value            
Weighted- average fair value (in dollars per share)       $ 6    
Expected volatility       25.70%    
Risk-free interest rate       2.00%    
Expected dividend yield       1.00%    
Expected term in years       6 years 1 month 6 days    
Shares            
Outstanding at beginning of period (in shares)       57,498,000    
Granted and assumed through acquisition (in shares)       5,242,000    
Additional shares granted due to conversion (in shares)       12,574,000    
Exercised (in shares)       (16,281,000)    
Forfeited/cancelled/expired (in shares)       (8,389,000)    
Outstanding at end of period (in shares)   50,644,000   50,644,000    
Vested and expected to vest at end of period (in shares)   49,682,000   49,682,000    
Exercisable at end of period (in shares)   28,811,000   28,811,000    
Weighted-Average Exercise Price            
Outstanding at beginning of period (in dollars per share)       $ 15    
Granted and assumed through acquisition (in dollars per share)       24    
Additional shares granted due to conversion (in dollars per share)       12    
Exercised (in dollars per share)       14    
Forfeited/cancelled/expired (in dollars per share)       16    
Outstanding at end of period (in dollars per share)   $ 12   12    
Vested and expected to vest at end of period (in dollars per share)   12   12    
Exercisable at end of period (in dollars per share)   $ 11   $ 11    
Options assumed (in shares)       8,000,000    
Awards assumed (in dollars per share)       $ 16    
Weighted-Average Remaining Contractual Term            
Outstanding at end of period       5 years    
Vested and expected to vest at end of period       5 years    
Exercisable at end of period       3 years 8 months 12 days    
Aggregate Intrinsic Value            
Outstanding at end of period   $ 329   $ 329    
Vested and expected to vest at end of period   324   324    
Exercisable at end of period   224   224    
Options exercised   47   120    
The Plan            
Stock-Based Compensation            
Number of shares authorized (in shares) 260,000,000         210,000,000
Vesting period 3 years          
The Plan | One-time retention stock awards to certain executives            
Stock-Based Compensation            
Vesting period 3 years          
Total grant date fair value of options vested $ 137          
The Plan            
Stock-Based Compensation            
Separation costs   21   33    
Restructuring charges   7   19    
SGI | The Plan            
Stock-Based Compensation            
Restructuring charges   2   $ 7    
Business Acquisitions | Restricted Stock Awards            
Shares            
Granted and assumed through acquisition (in shares)       11,000,000    
Weighted-Average Grant Date Fair Value Per Share            
Granted and assumed through acquisition (in dollars per share)       $ 18    
Everett SpinCo            
Stock-Based Compensation            
Stock-based compensation expense   83   $ 95    
Everett SpinCo | Restricted Stock Awards            
Shares            
Vested (in shares)       (9,000,000)    
Forfeited (in shares)       (300,000)    
Weighted-Average Grant Date Fair Value Per Share            
Vested (in dollars per share)       $ 18    
Forfeited (in dollars per share)       $ 18    
Net loss from discontinued operations            
Stock-Based Compensation            
Stock-based compensation expense   67   $ 69    
Net earnings (loss) from continuing operations            
Stock-Based Compensation            
Stock-based compensation expense   16   26    
Scenario, Adjustment            
Stock-Based Compensation            
Stock-based compensation expense   $ 78 $ 35 $ 100 $ 73