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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

X

- 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

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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

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- Definition

The amount of cash received during the period on settlement of a hedge.

+ References

No definition available.

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+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 830
-SubTopic 20
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6450222&loc=d3e30840-110895

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-Name Accounting Standards Codification
-Topic 830
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-Section 45
-Paragraph 1
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Aggregate gain on all derivative instruments recognized in earnings during the period, before tax effects.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 815
-SubTopic 10
-Section 50
-Paragraph 4A
-Subparagraph (b)
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