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Share-Based Payments (Details) - USD ($)
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Jan. 31, 2018
Aug. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense $ 38,200,000 $ 29,200,000 $ 32,300,000    
Restricted Stock          
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]          
Forfeited (in shares) (100,000) 0      
Weighted Average Grant Date Fair Value Per Share [Roll Forward]          
Forfeited, Weighted Average Grant Date Fair Value Per Share (in dollars per share) $ 135.43 $ 159.88      
Stock Options | $40.01 - $100.00 (average life - 2.1 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        
Range of option exercise prices: average life 2 years 1 month 6 days        
Stock Options | $100.01 - $160.00 (average life - 8.3 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        
Range of option exercise prices: average life 8 years 3 months 19 days        
Stock Options | $160.01 - $210.00 (average life - 5.2 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        
Range of option exercise prices: average life 5 years 2 months 12 days        
Stock Options | $210.01 - $239.76 (average life - 6.1 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 6 years 1 month 6 days        
Stock Incentive Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares authorized for issuance (in shares)       2,700,000  
Number of shares available for grant (in shares) 700,000 1,400,000 1,600,000    
Years of service eligible for continued vesting 60 years        
Age to be attained allowing for continued vesting 10 years        
Share-based payment expense $ 38,200,000 $ 29,200,000 $ 32,300,000    
Stock Incentive Plan | $40.01 - $100.00 (average life - 2.1 years)          
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Range of option exercise prices: Number of Shares, Outstanding 100,000        
Range of option exercise prices: Weighted Average Exercise Price, Outstanding (in dollars per share) $ 62.25        
Range of option exercise prices: Number of Shares, Exercisable 100,000        
Range of option exercise prices: Weighted Average Exercise Price, Exercisable (in dollars per share) $ 62.25        
Stock Incentive Plan | $100.01 - $160.00 (average life - 8.3 years)          
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Range of option exercise prices: Number of Shares, Outstanding 700,000        
Range of option exercise prices: Weighted Average Exercise Price, Outstanding (in dollars per share) $ 123.01        
Range of option exercise prices: Number of Shares, Exercisable 200,000        
Range of option exercise prices: Weighted Average Exercise Price, Exercisable (in dollars per share) $ 126.16        
Stock Incentive Plan | $160.01 - $210.00 (average life - 5.2 years)          
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Range of option exercise prices: Number of Shares, Outstanding 100,000        
Range of option exercise prices: Weighted Average Exercise Price, Outstanding (in dollars per share) $ 207.80        
Range of option exercise prices: Number of Shares, Exercisable 100,000        
Range of option exercise prices: Weighted Average Exercise Price, Exercisable (in dollars per share) $ 207.80        
Stock Incentive Plan | $210.01 - $239.76 (average life - 6.1 years)          
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Range of option exercise prices: Number of Shares, Outstanding 0        
Range of option exercise prices: Weighted Average Exercise Price, Outstanding (in dollars per share) $ 239.76        
Range of option exercise prices: Number of Shares, Exercisable 0        
Range of option exercise prices: Weighted Average Exercise Price, Exercisable (in dollars per share) $ 239.76        
Stock Incentive Plan | Restricted Stock          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense $ 24,600,000 $ 25,100,000 $ 27,900,000    
Share-based Compensation Arrangement, Restricted Stock Awards [Abstract]          
Share-based compensation vesting period (years) 4 years        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]          
Beginning of period, Outstanding (in shares) 400,000 400,000 400,000    
Granted (in shares) 200,000 200,000 200,000    
Vested (in shares) (100,000) (200,000) (200,000)    
End of period, Outstanding (in shares) 350,000 400,000 400,000    
Weighted Average Grant Date Fair Value Per Share [Roll Forward]          
Beginning of period, Outstanding, Weighted Average Grant date Fair Value Per Share (in dollars per share) $ 156.32 $ 186.63 $ 197.41    
Granted, Weighted Average Grant Date Fair Value Per Share (in dollars per share) 122.10 120.73 154.95    
Vested, Weighted Average Grant Date Fair Value Per Share (in dollars per share) 171.92 184.60 177.79    
End of period, Outstanding, Weighted Average Grant Date Fair Value Per Share (in dollars per share) $ 134.68 $ 156.32 $ 186.63    
Unrecognized compensation cost $ 26,200,000        
Unrecognized compensation cost period of recognition (years) 1 year 7 months 6 days        
Total fair value of shares vested $ 22,800,000 $ 26,900,000 $ 26,600,000    
Stock Incentive Plan | Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense $ 4,900,000 $ 2,700,000 $ 3,100,000    
Share-based Compensation Arrangement, Restricted Stock Awards [Abstract]          
Share-based compensation vesting period (years) 3 years        
Weighted Average Grant Date Fair Value Per Share [Roll Forward]          
Unrecognized compensation cost $ 15,200,000        
Unrecognized compensation cost period of recognition (years) 1 year 10 months 24 days        
Share-based Compensation Arrangement, Stock Options [Abstract]          
Award expiration term 10 years        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]          
Beginning of period, Outstanding, Number of Shares 400,000 300,000 300,000    
Granted, Number of Shares 500,000 100,000 0    
Stock options exercised (in shares) 0 0 0    
End of period, Outstanding, Number of Shares 915,000 400,000 300,000    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Roll Forward]          
Beginning of period, Outstanding, Weighted average exercise price (in dollars per share) $ 146.70 $ 154.69 $ 156.43    
Granted, Weighted average exercise price (in dollars per share) 121.87 116.40 156.39    
Exercised, Weighted average exercise price (in dollars per share) 116.36   115.27    
End of period, Outstanding, Weighted average exercise price (in dollars per share) $ 133.19 $ 146.70 $ 154.69    
Exercisable, Number of shares outstanding (in shares) 400,000 300,000 200,000   200,000
Exercisable, Weighted average exercise price (in dollars per share) $ 151.07 $ 147.51 $ 134.13   $ 106.54
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Total intrinsic value of stock options expected to vest     $ 500,000    
Stock options exercised (in shares) 0 0 0    
Total intrinsic value of stock options outstanding $ 3,300,000        
Total intrinsic value of stock options expected to vest 0        
Total intrinsic value of stock options exercisable 3,300,000        
Stock Incentive Plan | Performance stock units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense 7,300,000 $ 0 $ 0    
Stock Incentive Plan | Director share units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense $ 1,400,000 $ 1,400,000 $ 1,300,000    
Supplemental Deferred Savings Plan | Performance stock units          
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]          
Beginning of period, Outstanding (in shares) 0 0      
End of period, Outstanding (in shares) 67,000 0 0    
Weighted Average Grant Date Fair Value Per Share [Roll Forward]          
Unrecognized compensation cost $ 1,900,000        
Unrecognized compensation cost period of recognition (years) 2 years 1 month 6 days        
Supplemental Deferred Savings Plan | Employee Deferred Share Units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense $ 0 $ 0 $ 0    
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Deferred compensation, number of share units outstanding 7,500        
Supplemental Deferred Savings Plan | Restricted Stock Units (RSUs)          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based payment expense   $ 0 $ 0    
Directors' Deferred Compensation Plan | Restricted Stock Units (RSUs)          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares available for grant (in shares) 320,000 360,000 370,000    
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Deferred compensation, number of share units outstanding 98,000        
Employee Stock Purchase Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares authorized for issuance (in shares) 1,500,000        
Number of shares available for grant (in shares) 1,000,000.0        
Share-based Payment Arrangement, Option, Exercise Price Range, End of Period [Abstract]          
Employee discount on purchases of common stock 5.00%        
Service Options | Stock Incentive Plan | Stock Options          
Share-based Compensation Arrangement, Restricted Stock Awards [Abstract]          
Share-based compensation vesting period (years) 3 years        
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]          
Dividend yield 0.40% 0.40% 0.30%    
Expected volatility 33.70% 32.80% 30.90%    
Risk-free interest rate 1.30% 3.00% 2.00%    
Expected life of options 5 years 4 years 4 years    
Weighted-average fair value of options (in dollars per share) $ 34.22 $ 34.06 $ 41.87    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]          
End of period, Outstanding, Number of Shares 815,000        
Market Options | Stock Incentive Plan | Stock Options          
Share-based Compensation Arrangement, Restricted Stock Awards [Abstract]          
Share-based compensation vesting period (years) 4 years        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]          
Granted (in shares)   0 0    
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]          
Dividend yield 0.40%        
Expected volatility 33.70%        
Risk-free interest rate 1.50%        
Expected life of options 7 years        
Weighted-average fair value of options (in dollars per share) $ 44.74        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]          
End of period, Outstanding, Number of Shares 100,000