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Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended		12 Months Ended	21 Months Ended
	May 31, 2019	May 31, 2018	May 31, 2019	May 31, 2018	Aug. 31, 2018	May 31, 2019
Income Tax Disclosure [Abstract]
One-time transition tax, inclusive of unrecognized tax benefits					$ 65.9
Re-measurement of the Company's U.S. deferred tax attributes					(10.5)
Change in indefinite reinvestment assertion					85.0
Other					1.9
Other			$ 0.0			$ 1.9
Income tax expense (benefit)				$ 30.9	$ 142.3
One-time transition tax, inclusive of unrecognized tax benefits			(14.9)			51.0
Re-measurement of the Company's U.S. deferred tax attributes			1.6			(8.9)
Change in indefinite reinvestment assertion			0.0			85.0
Income tax expense (benefit)			$ (13.3)			$ 129.0
U.S. federal statutory rate	21.00%	25.70%	21.00%	25.70%
Effective tax rate	47.00%	40.00%	32.40%	45.60%
Reduction in unrecognized tax benefits for the period				$ 16.1

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