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Goodwill and Intangible Assets (Tables)
 9 Months Ended
May 31, 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 YearMay 31, 2023
2023$41.9 
202438.1 
202530.6 
202627.9 
202726.4 
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 
Provisional amounts from acquired businesses— 15.2 15.2 
Derecognitions for divestitures(0.7)— (0.7)
Foreign currency translation adjustments(0.2)(1.9)(2.1)
Balance as of May 31, 2023$1,013.3 $83.4 $1,096.7 
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(4.3)(0.1)(4.4)
Balance as of May 31, 2022$1,018.5 $72.4 $1,090.9