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Stock-Based Compensation - Schedule of Non-Vested Restricted Stock Unit Award Activity (Details)
shares in Thousands
3 Months Ended
Nov. 30, 2024
$ / shares
shares
Restricted stock units  
Shares  
Beginning balance (in shares) 431
Granted (in shares) 198
Vested (in shares) (134)
Canceled/Forfeited (in shares) (3)
Ending balance (in shares) 492
Weighted-Average Grant Date Fair Value per Share  
Beginning balance (in usd per share) | $ / shares $ 88.29
Granted (in usd per share) | $ / shares 80.52
Vested (in usd per share) | $ / shares 84.61
Canceled/Forfeited (in usd per share) | $ / shares 89.17
Ending balance (in usd per share) | $ / shares $ 86.17
Incremental Dividend Rights, Restricted Stock Units  
Shares  
Ending balance (in shares) 24