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Significant Accounting Policies - Selling, Distribution and Administrative Expenses (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Accounting Policies [Abstract]      
Other shipping and handling costs $ 121.9 $ 138.4 $ 154.9
Share-based Payment Arrangement, Noncash Expense [Abstract]      
Share-based payment expense 38.2 29.2 32.3
Income tax benefit for share-based compensation 6.6 6.5 8.4
Net excess tax expense (benefit) related to share-based payment cost 1.4 1.6 0.8
Research and development expense 82.0 74.7 63.9
Advertising costs $ 15.1 $ 18.5 $ 20.6