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Goodwill and Intangible Assets - Changes in Goodwill (Details) - USD ($) $ in Millions	9 Months Ended
	May 31, 2020	May 31, 2019
Goodwill [Roll Forward]
Goodwill, Beginning Balance	$ 967.3	$ 970.6
Provisional additions from acquired businesses	147.8	0.0
Adjustments to provisional amounts from acquired businesses	(21.6)	(0.2)
Foreign currency translation adjustments	(7.1)	(6.3)
Goodwill, Ending Balance	$ 1,086.4	$ 964.1

X

- 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

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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- 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

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- Definition

Amount of increase (decrease) from adjustments after acquisition date under purchase accounting 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.

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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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