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New Accounting Pronouncements (Details) - USD ($)
$ in Millions
Aug. 31, 2021
Sep. 01, 2020
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
New Accounting Pronouncements or Change in Accounting Principle [Line Items]          
Cumulative-effect adjustment to retained earnings $ 2,044.5   $ 2,127.5 $ 1,918.9 $ 1,716.8
Retained Earnings          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]          
Cumulative-effect adjustment to retained earnings $ 2,810.3   2,523.3 $ 2,295.8 1,999.2
Cumulative-effect adjustment          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]          
Cumulative-effect adjustment to retained earnings     (0.2)   (13.0)
Cumulative-effect adjustment | Retained Earnings          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]          
Cumulative-effect adjustment to retained earnings     $ (0.2)   $ (13.0)
Cumulative-effect adjustment | ASU 2016-02 | Retained Earnings          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]          
Cumulative-effect adjustment to retained earnings   $ 0.2