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Equities - Schedule of Changes in Equities (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
May 31, 2026
May 31, 2025
May 31, 2026
May 31, 2025
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance $ 11,060,295 $ 10,714,128 $ 11,080,174 $ 10,761,924
Reversal of prior fiscal year patronage and redemption estimates 63,612 325,204 110,554 571,035
Distribution of patronage refunds (10,924) (70,870) (30,000) (300,340)
Redemptions of equities (52,687) (254,707) (80,553) (271,034)
Preferred stock dividends (42,167) (42,167) (168,668) (168,668)
Other, net 687 13,220 (15,232) 8,072
Net income (loss) 267,496 231,680 380,763 401,270
Other comprehensive income (loss), net of tax 1,999 (1,011) 33,733 (6,821)
Estimated cash patronage refunds (37,584) (19,334) (42,076) (31,486)
Estimated equity redemptions (45,146) (107,882) (63,114) (175,691)
Ending balance 11,205,581 10,788,261 11,205,581 10,788,261
Capital Equity Certificates        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 3,740,285 3,688,331 3,743,060 3,753,343
Reversal of prior fiscal year patronage and redemption estimates 52,687 254,707 25,520 193,773
Distribution of patronage refunds 5 116 54,235 76,000
Redemptions of equities (46,335) (249,887) (66,292) (262,032)
Other, net (357) (401) 7,730 (409)
Estimated equity redemptions (45,146) (107,882) (63,114) (175,691)
Ending balance 3,701,139 3,584,984 3,701,139 3,584,984
Nonpatronage Equity Certificates        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 26,268 27,035 26,888 27,261
Redemptions of equities (120) (51) (242) (261)
Other, net   (35) (498) (51)
Ending balance 26,148 26,949 26,148 26,949
Nonqualified Equity Certificates        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 2,318,358 2,199,113 2,333,657 2,201,765
Reversal of prior fiscal year patronage and redemption estimates 0   (144,101) (282,431)
Distribution of patronage refunds 18 381 144,115 284,147
Redemptions of equities (6,232) (4,769) (14,019) (8,741)
Other, net (494) (207) (8,002) (222)
Ending balance 2,311,650 2,194,518 2,311,650 2,194,518
Preferred Stock        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 2,264,038 2,264,038 2,264,038 2,264,038
Ending balance 2,264,038 2,264,038 2,264,038 2,264,038
Accumulated Other Comprehensive Loss        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance (274,638) (302,352) (306,372) (296,542)
Other comprehensive income (loss), net of tax 1,999 (1,011) 33,733 (6,821)
Ending balance (272,639) (303,363) (272,639) (303,363)
Capital Reserves        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 2,982,635 2,832,758 3,015,424 2,805,526
Reversal of prior fiscal year patronage and redemption estimates 10,925 70,497 229,135 659,693
Distribution of patronage refunds (10,947) (71,367) (228,350) (660,487)
Preferred stock dividends (42,167) (42,167) (168,668) (168,668)
Other, net 1,555 15,128 (14,479) 11,901
Net income (loss) 267,366 232,184 380,797 401,220
Estimated cash patronage refunds (37,584) (19,334) (42,076) (31,486)
Ending balance 3,171,783 3,017,699 3,171,783 3,017,699
Noncontrolling Interests        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning balance 3,349 5,205 3,479 6,533
Other, net (17) (1,265) 17 (3,147)
Net income (loss) 130 (504) (34) 50
Ending balance $ 3,462 $ 3,436 $ 3,462 $ 3,436