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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) |

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- Definition 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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=77989000&loc=SL49117168-202975 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=99380562&loc=d3e13770-109266 + Details
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- Definition 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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 + Details
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- Definition 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 Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (f) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 + Details
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
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- Definition 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 Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (g) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 + Details
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