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Note 14 - Stock-based Compensation - Summary of Stock Option Weighted Average Assumptions, Employee Stock Purchase Plan (Details) - $ / shares
3 Months Ended 6 Months Ended
Feb. 28, 2018
Feb. 28, 2017
Feb. 28, 2018
Feb. 28, 2017
Expected life (years) (Year) 7 years 146 days 7 years 146 days 7 years 146 days 7 years 146 days
Dividend yield 1.32% 1.18% 1.32% 1.18%
Weighted average estimated fair value (in dollars per share) $ 48.82 $ 43.81 $ 48.29 $ 39.95
The 2008 Employee Stock Purchase Plan [Member]        
Risk-free interest rate 1.45% 0.51% 1.26% 0.44%
Expected life (years) (Year) 90 days 90 days 90 days 90 days
Expected volatility 13.90% 7.80% 10.52% 8.90%
Dividend yield 1.11% 1.25% 1.29% 1.19%
Weighted average estimated fair value (in dollars per share) $ 35.02 $ 25.88 $ 29.76 $ 27.85