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Goodwill and Intangible Assets (Tables)
 6 Months Ended
Feb. 28, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Future Amortization Expense
The following table summarizes the expected amortization expense for the next five fiscal years as of the date presented (in millions):
Fiscal YearFebruary 28, 2023
2023$41.5 
202436.9 
202529.4 
202626.7 
202725.2 
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 as of 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 as of February 28, 2023$1,012.3 $68.0 $1,080.3 
ABLISGTotal
Balance as of August 31, 2021$1,022.2 $72.5 $1,094.7 
Adjustments to provisional amounts from acquired businesses0.6 — 0.6 
Foreign currency translation adjustments(2.6)(0.3)(2.9)
Balance as of February 28, 2022$1,020.2 $72.2 $1,092.4