Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($)	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021	Jul. 31, 2021
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)			144,496,077
Common stock outstanding, ending balance (in shares)	138,851,189		138,851,189
2022 Share Repurchase Program
Common stock outstanding:
Share repurchase program, amount authorized					$ 1,000,000,000
Number of shares repurchased (in shares)			8,600,000
Value of shares repurchased			$ 517,000,000
Share repurchase program, remaining amount available	$ 483,000,000		$ 483,000,000
Common stock:
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)	142,392,135	149,366,501	144,496,077	150,330,358
Shares issued upon exercise of stock options (in shares)	0	9,321	0	9,321
Shares issued under employee stock purchase plan (in shares)	1,686	0	522,169	771,548
Vesting of restricted stock (in shares)	13,609	12,787	2,467,324	2,253,923
Purchases of treasury stock under employee stock plans (in shares)	(3,766)	(3,436)	(704,040)	(613,715)
Treasury shares purchased (in shares)	(3,552,475)	(2,547,707)	(7,930,341)	(5,913,969)
Common stock outstanding, ending balance (in shares)	138,851,189	146,837,466	138,851,189	146,837,466