Share-based Compensation - Summary of Share-Based Award Activity for Stock Options and Stock Appreciation Rights (Details)	12 Months Ended
	Aug. 31, 2024 $ / shares shares
Number of Shares
Outstanding at beginning of period (in shares) | shares	347,617
Granted | shares	30,499
Expired | shares	(655)
Exercised | shares	(66,104)
Forfeited | shares	(1,306)
Outstanding at end of period (in shares) | shares	310,051
Exercisable at end of period (in shares) | shares	237,992
Weighted Average Exercise Price
Outstanding at beginning of period (in dollars per share) | $ / shares	$ 158.47
Granted | $ / shares	164.58
Expired | $ / shares	191.37
Exercised | $ / shares	132.74
Forfeited | $ / shares	177.96
Outstanding at end of period (in dollars per share) | $ / shares	164.4
Exercisable at end of period (in dollars per share) | $ / shares	$ 159.53