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Income Taxes - Provision for Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Income Tax Disclosure [Abstract]      
Provision for current federal taxes $ 54.6 $ 60.3 $ 88.9
Provision for current state taxes 12.5 14.7 16.4
Provision for current foreign taxes 16.0 10.2 9.2
(Benefit) provision for deferred taxes (6.7) 9.3 (38.2)
Total provision for income taxes $ 76.4 $ 94.5 $ 76.3