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Goodwill and Intangible Assets (Tables)
3 Months Ended
Nov. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
The following table summarizes the changes in the carrying amount of goodwill during the periods presented (in millions):
 
Three Months Ended
 
November 30, 2019
 
November 30, 2018
Beginning balance
$
967.3

 
$
970.6

Additions from acquired businesses
147.8

 

Foreign currency translation adjustments
0.4

 
(3.7
)
Ending balance
$
1,115.5

 
$
966.9