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Goodwill and Other Intangible Assets (Purchased Intangible Assets) (Details) - USD ($) $ in Thousands | 12 Months Ended |
--- | --- | ---
Aug. 31, 2018 | Aug. 31, 2017
Acquired Intangible Assets by Major Class [Line Items] |  |
Weighted Average Amortization Period (in years) | 9 years |
Gross Carrying Amount | $ 586,309 | $ 553,808
Accumulated Amortization | (307,178) | (269,212)
Net Carrying Amount | 279,131 | 284,596
Trade names |  |
Acquired Intangible Assets by Major Class [Line Items] |  |
Gross Carrying Amount | 123,090 | 123,090
Net Carrying Amount | $ 123,090 | 123,090
Contractual agreements and customer relationships |  |
Acquired Intangible Assets by Major Class [Line Items] |  |
Weighted Average Amortization Period (in years) | 11 years |
Gross Carrying Amount | $ 289,947 | 265,148
Accumulated Amortization | (153,415) | (132,691)
Net Carrying Amount | $ 136,532 | 132,457
Intellectual property |  |
Acquired Intangible Assets by Major Class [Line Items] |  |
Weighted Average Amortization Period (in years) | 5 years |
Gross Carrying Amount | $ 168,181 | 160,456
Accumulated Amortization | (148,672) | (131,407)
Net Carrying Amount | 19,509 | 29,049
Trade names |  |
Acquired Intangible Assets by Major Class [Line Items] |  |
Gross Carrying Amount | 5,091 | 5,114
Accumulated Amortization | (5,091) | (5,114)
Net Carrying Amount | $ 0 | $ 0

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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