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

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.

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

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Amount of intangible assets, excluding goodwill, acquired at the acquisition date.

+ References

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 805
-SubTopic 20
-Section 50
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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

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- Definition

The number of businesses acquired by the entity during the period.

+ References

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