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Stock-Based Compensation - Schedule of Performance Share Unit Activity (Details)
shares in Thousands
3 Months Ended
Nov. 30, 2024
$ / shares
shares
Performance share units  
Shares  
Beginning balance (in shares) 123
Granted (in shares) 52
Vested (in shares) (38)
Canceled/Forfeited (in shares) 0
Ending balance (in shares) 137
Weighted-Average Grant Date Fair Value per Share  
Beginning balance (in usd per share) | $ / shares $ 88.31
Granted (in usd per share) | $ / shares 80.52
Vested (in usd per share) | $ / shares 84.96
Canceled/Forfeited (in usd per share) | $ / shares 0
Ending balance (in usd per share) | $ / shares $ 86.31
Incremental Dividend Rights Performance Stock Units  
Shares  
Ending balance (in shares) 4