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Income Taxes (Reconciliation of Income Tax Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Aug. 31, 2018
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Income Tax Disclosure [Abstract]        
Tax at U.S. federal statutory income tax rate   $ 95,852 $ 89,682 $ 135,470
State income taxes, net of federal tax benefit   (5,417) (8,474) (5,121)
Impact of foreign tax rates   (71,889) (109,466) (144,521)
Permanent impact of non-deductible cost   21,988 7,336 3,408
Income tax credits   (10,405) (16,254) (5,040)
Changes in tax rates on deferred tax assets and liabilities   15,048 688 182
Transition tax related to the Tax Act   232,405 0 0
Change in indefinite reinvestment assertion related to the Tax Act   21,754 0 0
Valuation allowance   (61,186) 37,934 11,770
Non-deductible equity compensation   20,443 11,531 18,350
Impact of intercompany charges and dividends   27,442 98,052 94,596
Reclassification of stranded tax effects in AOCI   (14,811) 0 0
Other, net   14,636 18,037 23,055
Total income tax expense   $ 285,860 $ 129,066 $ 132,149
U.S. federal statutory income tax rate   25.67% 35.00% 35.00%
Tax Cuts and Jobs Act, one-time mandatory repatriation tax $ 24,900 $ 65,900    
Tax Cuts and Jobs Act, change in indefinite reinvestment assertion on certain earnings from foreign subsidiaries $ 85,000 $ 85,000