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Goodwill and Intangible Assets (Tables)
 6 Months Ended
Feb. 29, 2024
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill
The following table summarizes the changes in the carrying amount of goodwill by segment during the periods presented (in millions):
ABLISGTotal
Balance at August 31, 2023$1,014.4 $83.5 $1,097.9 
Foreign currency translation adjustments(0.6)(0.2)(0.8)
Balance at February 29, 2024$1,013.8 $83.3 $1,097.1 
ABLISGTotal
Balance at August 31, 2022$1,014.2 $70.1 $1,084.3 
Derecognitions for divestitures(0.7)— (0.7)
Foreign currency translation adjustments(1.2)(2.1)(3.3)
Balance at February 28, 2023$1,012.3 $68.0 $1,080.3