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Income Taxes - Provision for Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Income Tax Disclosure [Abstract]      
Provision for current federal taxes $ 60.3 $ 88.9 $ 151.2
Provision for current state taxes 14.7 16.4 20.4
Provision for current foreign taxes 10.2 9.2 7.0
Provision (benefit) for deferred taxes 9.3 (38.2) (7.7)
Total provision for income taxes $ 94.5 $ 76.3 $ 170.9