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Goodwill and Intangible Assets (Tables)
3 Months Ended
Nov. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
The changes in the carrying amount of goodwill during the three months ended November 30, 2018 and 2017 are summarized below (in millions):
 
Three Months Ended
 
November 30, 2018
 
November 30, 2017
Beginning balance
$
970.6

 
$
900.9

Foreign currency translation adjustments
(3.7
)
 
(4.4
)
Ending balance
$
966.9

 
$
896.5