Goodwill and Other Intangible Assets (Changes in Goodwill Allocated to Segments) (Details) - USD ($) $ in Thousands	12 Months Ended
Aug. 31, 2018	Aug. 31, 2017
Goodwill [Roll Forward]
Beginning balance	$ 608,184	$ 594,773
Acquisitions and adjustments	22,577	8,186
Change in foreign currency exchange rates	(3,016)	5,225
Ending balance	627,745	608,184
EMS
Goodwill [Roll Forward]
Beginning balance	52,574	51,179
Acquisitions and adjustments	30,763	0
Change in foreign currency exchange rates	(667)	1,395
Ending balance	82,670	52,574
Goodwill reallocated	8,200
DMS
Goodwill [Roll Forward]
Beginning balance	555,610	543,594
Acquisitions and adjustments	(8,186)	8,186
Change in foreign currency exchange rates	(2,349)	3,830
Ending balance	545,075	$ 555,610
Goodwill reallocated	$ (8,200)

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
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Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination.

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Amount of foreign currency translation gain (loss) which increases (decreases) an asset representing future economic benefits from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

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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 transfers into (out of) an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

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