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Goodwill and Intangible Assets (Changes in Goodwill) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Nov. 30, 2018
Nov. 30, 2017
Aug. 31, 2018
Goodwill [Roll Forward]      
Goodwill, Beginning Balance $ 970.6 $ 900.9 $ 900.9
Additions from acquired businesses     77.0
Foreign currency translation adjustments (3.7) (4.4)  
Goodwill, Ending Balance $ 966.9 $ 896.5 $ 970.6