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Income Taxes - Reconciliation Between Effective and Statutory Tax Rates on Continuing Operations (Detail)
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Income Tax Disclosure [Abstract]            
Federal statutory rate 21.00% 21.00% 21.00% 21.00% 25.70% 35.00%
State income taxes, net of federal benefit 3.00% 3.10% (15.00%)      
Foreign operations 6.20% 9.00% 25.50%      
U.S. tax on foreign earnings 4.50% 1.80%        
Carryback rate benefit   (3.20%) (379.10%)      
Permanent differences (5.80%) 5.40% (45.60%)      
Base erosion and anti-avoidance tax (BEAT) 1.60%          
Change in valuation allowance (0.50%) (0.80%) 12.60%      
Uncertain tax positions 1.40% (1.80%) (44.00%)      
Noncontrolling interest in flow-through entity (2.70%) (3.00%) (2.90%)      
Credits and Other (1.70%) (1.60%) 0.70%      
Effective tax rate 27.00% 29.90% (468.80%)