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Share-based Payments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2019
May 31, 2018
May 31, 2019
May 31, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]        
Share-based payment expense $ 7.6 $ 7.6 $ 22.9 $ 24.4
Shares issued from option exercises (shares) 0 0 0 9,364