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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Feb. 28, 2019
Feb. 28, 2018
Feb. 28, 2019
Feb. 28, 2018
Aug. 31, 2018
Income Tax Disclosure [Abstract]          
Tax Cuts and Jobs Act, provisional income tax expense (benefit)     $ (13.3)   $ 142.3
Tax Cuts and Jobs Act, net provisional income tax expense         65.9
Tax Cuts and Jobs Act, re-measurement of U.S. deferred tax         (10.5)
Tax Cuts and Jobs Act, foreign tax impact of change in indefinite reinvestment assertion         $ 85.0
U.S. federal statutory rate     21.00% 25.70%  
Effective tax rate 33.00% 56.50% 27.90% 47.60%  
Tax Cuts and Jobs Act, provisional income tax expense       $ 30.9  
Reduction in unrecognized tax benefits for the period       $ 16.1