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Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($)
$ in Thousands
Aug. 31, 2024
Aug. 31, 2023
Deferred tax assets:    
Accrued expenses $ 56,062 $ 51,960
Postretirement health care and deferred compensation 58,866 51,635
Tax credit carryforwards 91,114 97,730
Loss carryforwards 88,887 111,963
Nonqualified equity 533,784 467,519
Deferred tax asset lease obligation 52,980 62,225
Deferred Tax Asset, In-Process Research and Development 69,556 17,941
Other 19,592 25,223
Deferred tax assets valuation allowance (166,590) (182,466)
Total deferred tax assets 804,251 703,730
Deferred tax liabilities:    
Pension costs 7,003 10,596
Investments 130,171 129,683
Property, plant and equipment 618,419 625,403
Deferred tax liability right of use asset 51,872 60,501
Total deferred tax liabilities 807,465 826,183
Deferred Tax Liabilities, Net $ 3,214 $ 122,453