Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($)		1 Months Ended	12 Months Ended
	Aug. 31, 2021	Sep. 30, 2019	Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019	Jul. 31, 2021	Aug. 31, 2018
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)			150,330,358
Common stock outstanding, ending balance (in shares)	144,496,077		144,496,077	150,330,358
Authorized repurchase of common stock under share repurchase programs							$ 350,000,000
2020 Share Repurchase Program
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Authorized repurchase of common stock under share repurchase programs		$ 600,000,000
Capital allocation framework period under share repurchase programs		2 years
Number of shares repurchased (in shares)	14,100,000
Value of shares repurchased	$ 600,000,000
Share repurchase program, remaining amount available	$ 0		$ 0
2022 Share Repurchase Program
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Authorized repurchase of common stock under share repurchase programs						$ 1,000,000,000
Number of shares repurchased (in shares)	700,000
Value of shares repurchased	$ 42,000,000
Share repurchase program, remaining amount available	$ 958,000,000		$ 958,000,000
Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common stock outstanding, beginning balances (in shares)		153,520,380	150,330,358	153,520,380	164,588,172
Shares issued upon exercise of stock options (in shares)			9,321	56,999	11,348
Shares issued under employee stock purchase plan (in shares)			1,288,397	1,106,852	1,282,042
Vesting of restricted stock (in shares)			2,290,104	2,259,623	1,983,261
Purchases of treasury stock under employee stock plans (in shares)			(622,703)	(621,250)	(489,836)
Treasury shares purchased (in shares)			(8,799,400)	(5,992,246)	(13,854,607)
Common stock outstanding, ending balance (in shares)	144,496,077		144,496,077	150,330,358	153,520,380