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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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