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Derivative Financial Instruments and Hedging Activities - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |  |
--- | --- | --- | --- | ---
Feb. 28, 2018 | Feb. 28, 2017 | Feb. 28, 2018 | Feb. 28, 2017 | Aug. 31, 2017 | Aug. 31, 2016
Forward contracts |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Aggregate notional amount | $ 2,400.0 |  | $ 2,400.0 |  | $ 2,100.0 |
Forward contracts | Forward foreign exchange contracts | Cash flow hedging |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Aggregate notional amount | 391.8 |  | $ 391.8 |  | $ 314.6 |
Anticipated debt issuance | Cash flow hedging |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Aggregate notional amount |  |  |  |  |  | $ 200.0
Fair value of cash received for settlement of swaps | $ 17.2 |  |  |  |  |
Term Loan Facility | Cash flow hedging |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Aggregate notional amount |  |  |  |  |  | $ 200.0
Senior Notes | 3.950% Senior Notes |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Senior Notes, stated interest rate | 3.95% |  | 3.95% |  |  |
Cost of revenue |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Foreign currency losses | $ 22.9 |  | $ 32.7 |  |  |
Cost of revenue | Forward foreign exchange contracts |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |
Gain recognized due to changes in fair value of derivatives | $ 31.2 |  | $ 51.0 |  |  |

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- Definition Aggregate notional amount specified by the derivative(s). Expressed as an absolute value. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Article 12 -Section 13 -Sentence Column B + Details
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- Definition Contractual interest rate for funds borrowed, under the debt agreement. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.22(a)(1)) -URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682 + Details
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