Income Taxes - Narrative (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Feb. 29, 2020	Feb. 28, 2019	Feb. 29, 2020	Feb. 28, 2019
Income Tax Disclosure [Abstract]
Provision for income taxes	$ 14,423	$ 19,647	$ 29,207	$ 31,294
Percentage change in total provision for income taxes	26.60%		(6.70%)
Higher windfall tax benefit from stock-based compensation	$ 4,700
Settlement with tax authority		2,400	$ 10,600	$ 6,600
Benefit from revision of one-time transition tax		$ 1,100

Net Increase In Tax Benefits, Due To Tax Settlement With Tax Authority

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Percentage Change In Total Provision For Income Taxes

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Amount of income tax expense from transition tax on accumulated earnings of controlled foreign corporation deemed repatriated pursuant to Tax Cuts and Jobs Act.

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