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Acquisitions - Narrative (Details) $ in Millions | 12 Months Ended |
--- | --- | ---
Aug. 31, 2019 USD ($) | Aug. 31, 2017 USD ($) acquisition | Aug. 31, 2018 USD ($)
Business Acquisition [Line Items] |  |  |
Number of acquisitions completed | acquisition |  | 0 |
Goodwill | $ 967.3 | $ 900.9 | $ 970.6
Weighted Average Amortization Period in Years | 17 years |  |
Lucid and IOTA |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | $ 76.8 |  |
Identifiable intangible assets | $ 81.8 |  |
Weighted Average Amortization Period in Years | 14 years |  |

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