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, 2019	Feb. 28, 2018	Feb. 28, 2019	Feb. 28, 2018
Expected life (Year)
Dividend yield
Weighted average estimated fair value (in dollars per share)	$ 53.18	$ 48.82	$ 56.72	$ 48.29
The 2008 Employee Stock Purchase Plan [Member]
Risk-free interest rate	2.42%	1.45%	2.35%	1.26%
Expected life (Year)	90 days	90 days	90 days	90 days
Expected volatility	12.47%	13.90%	10.68%	10.52%
Dividend yield	1.09%	1.11%	1.10%	1.29%
Weighted average estimated fair value (in dollars per share)	$ 40.45	$ 35.02	$ 39.52	$ 29.76

The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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- Definition

The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

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- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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- Definition

Expected term of share-based compensation awards, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (f)(2)(i)
-URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 14.D.2)
-URI http://asc.fasb.org/extlink&oid=115993241&loc=d3e301413-122809

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