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New Accounting Pronouncements (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2019
May 31, 2018
May 31, 2019
May 31, 2018
Sep. 01, 2018
New Accounting Pronouncement, Early Adoption [Line Items]          
Decrease in cash flows from operations     $ (312.0) $ (299.7)  
Increase in cash flows from investing activities     (36.9) (194.7)  
Increase to operating profit and corresponding increase to Miscellaneous expense (income) $ (0.2) $ 0.2 (2.6) (3.8)  
ASU 2016-15          
New Accounting Pronouncement, Early Adoption [Line Items]          
Proceeds from corporate-owned life insurance policies     $ 0.8 1.0  
Decrease in cash flows from operations       1.0  
Increase in cash flows from investing activities       1.0  
ASU 2017-07          
New Accounting Pronouncement, Early Adoption [Line Items]          
Increase to operating profit and corresponding increase to Miscellaneous expense (income)   $ (1.5)   $ (4.6)  
ASC 606          
New Accounting Pronouncement, Early Adoption [Line Items]          
ASC 606 adjustments         $ 13.0