Income Taxes - Reconciliation of the Statutory Tax Rates to the Effective Tax Rates (Details)	12 Months Ended
Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Statutory federal income tax rate	21.00%	21.00%	21.00%
State and local income taxes, net of federal income tax benefit	(2.60%)	(1.80%)	(0.70%)
Patronage earnings	(11.40%)	(13.10%)	(14.30%)
Domestic production activities deduction	(8.20%)	(19.00%)	(9.90%)
Export activities at rates other than the U.S. statutory rate	0.50%	1.80%	(2.10%)
Intercompany transfer of business assets	(4.70%)	(1.60%)	0.00%
Increase in unrecognized tax benefits	0.80%	4.20%	0.20%
Valuation allowance	(0.20%)	(1.00%)	2.60%
Effective Income Tax Rate Reconciliation, Tax Credit, Percent	0.00%	0.20%	0.40%
Other	(2.60%)	(0.20%)	1.30%
Effective tax rate	(7.40%)	(9.50%)	(1.50%)

Effective Income Tax Rate, Rate Reconciliation, Patronage Earnings

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Effective Income Tax Rate Reconciliation, Change In Unrecognized Tax Benefits

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- Definition

Effective Income Tax Rate Reconciliation, Intercompany Transfer Of Assets

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 12
-URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 6.I.Fact.4)
-URI http://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 235
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(2))
-URI http://asc.fasb.org/extlink&oid=120395691&loc=d3e23780-122690

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section 50
-Paragraph 12
-URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in the valuation allowance for deferred tax assets.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 6.I.Fact.4)
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-Name Accounting Standards Codification
-Topic 740
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-Section 50
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-URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 740
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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to statutory income tax expense (benefit) outside of the country of domicile.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to state and local income tax expense (benefit), net of federal tax expense (benefit).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax credits. Including, but not limited to, research credit, foreign tax credit, investment tax credit, and other tax credits.

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