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Share-Based Compensation - Fair Value of Options Granted Under Employee Stock Plan (Details)
12 Months Ended
Aug. 29, 2018
Aug. 30, 2017
Aug. 31, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Dividend yield 0.00% 0.00% 0.00%
Volatility 34.80% 37.65% 39.64%
Risk-free interest rate 2.19% 1.99% 1.82%
Expected life (in years) 5 years 10 months 15 days 5 years 10 months 15 days 5 years 6 months 29 days