EARNINGS PER SHARE - Schedule of Basic and Diluted EPS (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 28, 2026	Feb. 28, 2025	Feb. 28, 2026	Feb. 28, 2025
Numerator
Net income used for calculating Basic EPS	$ 133,056	$ 144,860	$ 285,636	$ 294,882
Net income used for calculating Diluted EPS	$ 133,056	$ 144,860	$ 285,636	$ 294,882
Denominator
Weighted average common shares used in the calculation of Basic EPS (in shares)	36,927	38,015	37,168	38,010
Common stock equivalents associated with stock-based compensation plans (in shares)	136	495	171	503
Shares used in the calculation of Diluted EPS (in shares)	37,063	38,510	37,339	38,513
Basic EPS (in USD per share)	$ 3.60	$ 3.81	$ 7.68	$ 7.76
Diluted EPS (in USD per share)	$ 3.59	$ 3.76	$ 7.65	$ 7.66