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Weighted Average Assumptions Used to Determine Benefit Obligations and Net Periodic Benefit Cost (Detail) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Assumptions for net periodic benefit cost:      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Gain (Loss) Due to Settlement and Curtailment     $ (1.7)
Equity      
Assumptions for net periodic benefit cost:      
Defined Benefit Plan, Plan Assets, Target Allocation, Percentage 30.00%    
Fixed Income Securities      
Assumptions for net periodic benefit cost:      
Defined Benefit Plan, Plan Assets, Target Allocation, Percentage 70.00%    
Domestic Plan Member      
Assumptions for benefit obligations:      
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate 4.75% 2.55% 2.40%
Assumptions for net periodic benefit cost:      
Defined Benefit Plan, Assumptions Used Calculating Net Periodic Benefit Cost, Discount Rate 2.55% 2.40% 2.90%
Defined Benefit Plan, Assumptions Used Calculating Net Periodic Benefit Cost, Expected Long-term Rate of Return on Plan Assets 5.45% 4.20% 4.60%