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Goodwill and Intangible Assets (Tables)
3 Months Ended
Nov. 30, 2020
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, 2020November 30, 2019
Beginning balance$1,080.0 $967.3 
Provisional additions from acquired businesses— 147.8 
Foreign currency translation adjustments0.6 0.4 
Ending balance$1,080.6 $1,115.5