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Share-based Payments - Stock Options (Details) - $ / shares
shares in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Stock options | $40.01 - $100.00 (average life - 1.1 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, lower range limit (in dollars per share) $ 40.01      
Range of option exercise prices, upper range limit (in dollars per share) $ 100.00      
Range of option exercise prices, average life 1 year 1 month 6 days      
Stock options | $100.01 - $160.00 (average life - 7.9 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, lower range limit (in dollars per share) $ 100.01      
Range of option exercise prices, upper range limit (in dollars per share) $ 160.00      
Range of option exercise prices, average life 7 years 10 months 24 days      
Stock options | $160.01 - $210.00 (average life - 4.2 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, lower range limit (in dollars per share) $ 160.01      
Range of option exercise prices, upper range limit (in dollars per share) $ 210.00      
Range of option exercise prices, average life 4 years 2 months 12 days      
Stock options | $210.01 - $239.76 (average life - 5.1 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, lower range limit (in dollars per share) $ 210.01      
Range of option exercise prices, upper range limit (in dollars per share) $ 239.76      
Range of option exercise prices, average life 5 years 1 month 6 days      
Stock Incentive Plan | $40.01 - $100.00 (average life - 1.1 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, Outstanding, Number of Shares (in shares) 0.1      
Range of option exercise prices, Outstanding, Weighted Average Exercise Price (in dollars per share) $ 62.54      
Range of option exercise prices, Exercisable, Number of Shares (in shares) 0.1      
Range of option exercise prices, Exercisable, Weighted Average Exercise Price (in dollars per share) $ 62.54      
Stock Incentive Plan | $100.01 - $160.00 (average life - 7.9 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, Outstanding, Number of Shares (in shares) 1.0      
Range of option exercise prices, Outstanding, Weighted Average Exercise Price (in dollars per share) $ 119.18      
Range of option exercise prices, Exercisable, Number of Shares (in shares) 0.3      
Range of option exercise prices, Exercisable, Weighted Average Exercise Price (in dollars per share) $ 125.13      
Stock Incentive Plan | $160.01 - $210.00 (average life - 4.2 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, Outstanding, Number of Shares (in shares) 0.1      
Range of option exercise prices, Outstanding, Weighted Average Exercise Price (in dollars per share) $ 207.80      
Range of option exercise prices, Exercisable, Number of Shares (in shares) 0.1      
Range of option exercise prices, Exercisable, Weighted Average Exercise Price (in dollars per share) $ 207.80      
Stock Incentive Plan | $210.01 - $239.76 (average life - 5.1 years)        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]        
Range of option exercise prices, Outstanding, Number of Shares (in shares) 0.0      
Range of option exercise prices, Outstanding, Weighted Average Exercise Price (in dollars per share) $ 239.76      
Range of option exercise prices, Exercisable, Number of Shares (in shares) 0.1      
Range of option exercise prices, Exercisable, Weighted Average Exercise Price (in dollars per share) $ 239.76      
Stock Incentive Plan | Stock options        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Beginning of period, Outstanding (in shares) 0.9 0.4 0.3  
Granted (in shares) 0.3 0.5 0.1  
Exercised (in shares) 0.0 0.0    
End of period, Outstanding (in shares) 1.2 0.9 0.4  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Roll Forward]        
Beginning of period, Outstanding (in dollars per share) $ 133.19 $ 146.70 $ 154.69  
Granted (in dollars per share) 108.96 121.87 116.40  
Exercised (in dollars per share) 108.58 116.36    
End of period, Outstanding (in dollars per share) $ 127.98 $ 133.19 $ 146.70  
Outstanding, Number of Shares (in shares) 0.5 0.4 0.3 0.2
Outstanding, Weighted Average Exercise Price (in dollars per share) $ 142.36 $ 151.07 $ 147.51 $ 134.13