STOCK-BASED COMPENSATION - Summary of Stock Option Activity (Details) - USD ($) $ / shares in Units, $ in Millions				12 Months Ended
	Nov. 01, 2022	Nov. 01, 2021	Nov. 09, 2020	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Number Outstanding
Beginning balance (in shares)				2,089,000	2,277,000	2,254,000
Exercised (in shares)				(318,000)	(414,000)	(322,000)
Forfeited (in shares)				(56,000)	(128,000)	(85,000)
Ending balance (in shares)				1,987,662	2,089,000	2,277,000
Options vested and exercisable (in shares)				1,076,000
Options expected to vest (in shares)				839,000
Weighted Average Exercise Price Per Share
Beginning balance (in dollars per share)				$ 253.85	$ 214.89	$ 189.32
Exercised (in dollars per share)				181.67	178.57	166.36
Forfeited (in dollars per share)				373.04	301.05	237.23
Ending balance (in dollars per share)				285.95	$ 253.85	$ 214.89
Options vested and exercisable (in dollars per share)				221.45
Options expected to vest (in dollars per share)				$ 358.37
Aggregate Intrinsic Value
Outstanding, aggregate intrinsic value				$ 268.8
Options vested and exercisable, aggregate intrinsic value				231.3
Options expected to vest, aggregate intrinsic value				$ 65.5
Weighted Average Remaining Contractual Life
Outstanding, weighted average remaining contractual term				6 years
Options vested and exercisable, weighted average remaining contractual life				4 years 6 months
Options expected to vest, weighted average remaining contractual term				7 years 7 months 6 days
Exercise price (in dollars per share)				$ 436.41
Pre-tax intrinsic value of stock options exercised				$ 77.5	$ 104.1	$ 54.3
Unamortized stock-based compensation				$ 59.1
Remaining vesting period				2 years 10 months 24 days
Stock options
Weighted Average Remaining Contractual Life
Remaining vesting period				3 years 1 month 6 days
Employee
Number Outstanding
Granted (in shares)	266,051	292,377	408,093	268,185	348,458	417,546
Weighted Average Exercise Price Per Share
Granted (in dollars per share)				$ 426.22	$ 433.09	$ 317.17
Weighted average grant date fair value (in dollars per share)				$ 125.57	$ 103.49	$ 78.31
Non-employee directors
Number Outstanding
Granted (in shares)				5,000	6,000	12,000
Weighted Average Exercise Price Per Share
Granted (in dollars per share)				$ 428.70	$ 428.71	$ 318.20
Weighted average grant date fair value (in dollars per share)				$ 128.84	$ 109.11	$ 82.01