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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, 2022
Aug. 31, 2021
Aug. 31, 2020
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Beginning balance $ 15,658 $ 23,205 $ 24,167
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions 433 381 869
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions 1,084 7 304
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions (57) 0 0
Decrease due to lapse of statute of limitations (1,271) (7,931) (2,334)
Decrease due to settlements (31) 0 0
Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation (436) (4) 199
Ending balance $ 15,380 $ 15,658 $ 23,205