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Income Taxes - Reconciliation of the Statutory Tax Rates to the Effective Tax Rates (Details)
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Statutory federal income tax rate 21.00% 21.00% 25.70%
State and local income taxes, net of federal income tax benefit (1.80%) (0.70%) 0.70%
Patronage earnings (13.10%) (14.30%) (13.60%)
Domestic production activities deduction (19.00%) (9.90%) (8.40%)
Export activities at rates other than the U.S. statutory rate 1.80% (2.10%) 5.70%
U.S. tax reform 0.00% 0.00% (23.20%)
Intercompany transfer of business assets (1.60%) 0.00% (6.10%)
Increase in unrecognized tax benefits 4.20% 0.20% 6.80%
Valuation allowance (1.00%) 2.60% (3.00%)
Tax credits (0.20%) (0.40%) (0.70%)
Other (0.20%) 1.30% (0.80%)
Effective tax rate (9.50%) (1.50%) (15.50%)