Income Taxes (Reconciliations of Unrecognized Tax Benefits) (Details) - USD ($) $ in Thousands	12 Months Ended
Aug. 31, 2018	Aug. 31, 2017	Aug. 31, 2016
Reconciliation of Unrecognized Tax Benefits [Roll Forward]
Beginning balance	$ 201,355	$ 149,898	$ 154,648
Additions for tax positions of prior years	14,465	2,155	7,974
Reductions for tax positions of prior years	(21,045)	(12,233)	(20,045)
Additions for tax positions related to current year	81,866	77,807	25,892
Cash settlements	(1,659)	(2,298)	(6,553)
Reductions from lapses in statutes of limitations	(7,496)	(10,446)	(7,099)
Reductions from settlements with taxing authorities	(5,928)	(6,061)	(1,787)
Foreign exchange rate adjustment	(4,853)	2,533	(3,132)
Ending balance	256,705	201,355	149,898
Unrecognized tax benefits that would affect the effective tax rate (if recognized)	$ 117,455	$ 75,223	$ 72,152

Amount of increase (decrease) in unrecognized tax benefits resulting from foreign exchange rate adjustments.

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The gross amount of decreases in unrecognized tax benefits resulting from cash settlements.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Amount of unrecognized tax benefits.

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Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities.

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Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return.

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Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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The total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate.

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