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Share-Based Payments (Tables)
3 Months Ended
Nov. 18, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Weighted Average for Key Assumptions Used in Determining Fair Value of Options Granted and Related Share-Based Compensation Expense

The weighted average fair value of the stock option awards granted during the twelve week periods ended November 18, 2017, and November 19, 2016, using the Black-Scholes-Merton multiple-option pricing valuation model, was $128.93 and $139.66 per share, respectively, using the following weighted average key assumptions:

 

     Twelve Weeks Ended  
     November 18,
2017
     November 19,
2016
 

Expected price volatility

     20%        18%  

Risk-free interest rate

     1.9%        1.2%  

Weighted average expected lives (in years)

     5.1        5.1  

Forfeiture rate

     10%        10%  

Dividend yield

     0%        0%