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Changes in Gross Liability for Unrecognized Tax Benefits, Excluding Interest and Penalties (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Unrecognized Tax Benefits [Roll Forward]      
Beginning balance $ 13,713 $ 14,754 $ 15,380
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions 621 1,771 279
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions 748 201 0
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions (1,060) 0 (56)
Decrease due to lapse of statute of limitations (620) (3,054) (951)
Decrease due to settlements (69) 0 0
Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation 107 41 102
Ending balance $ 13,440 $ 13,713 $ 14,754