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Income Taxes (Reconciliations of Unrecognized Tax Benefits) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Reconciliation of Unrecognized Tax Benefits [Roll Forward]      
Beginning balance $ 164,383 $ 256,705 $ 201,355
Additions for tax positions of prior years 9,841 20,158 14,465
Reductions for tax positions of prior years (9,346) (106,252) (21,045)
Additions for tax positions related to current year 26,360 35,769 81,866
Cash settlements (510) 0 (1,659)
Reductions from lapses in statutes of limitations (1,054) (2,570) (7,496)
Reductions from non-cash settlements with taxing authorities (2,226) (35,582) (5,928)
Foreign exchange rate adjustment 2,345 (3,845) (4,853)
Ending balance 189,793 164,383 256,705
Unrecognized tax benefits that would affect the effective tax rate (if recognized) $ 108,551 $ 93,237 $ 117,455