Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($)	3 Months Ended
	Nov. 30, 2021	Nov. 30, 2020	Jul. 31, 2021
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)	144,496,077
Common stock outstanding, ending balance (in shares)	144,166,009
2022 Share Repurchase Program
Common stock outstanding:
Share repurchase program, amount authorized			$ 1,000,000,000
Number of shares repurchased (in shares)	2,800,000
Value of shares repurchased	$ 169,000,000
Share repurchase program, remaining amount available	$ 831,000,000
Common stock
Common stock outstanding:
Common stock outstanding, beginning balances (in shares)	144,496,077	150,330,358
Vesting of restricted stock (in shares)	2,425,472	2,217,082
Purchases of treasury stock under employee stock plans (in shares)	(690,555)	(601,406)
Treasury shares purchased (in shares)	(2,064,985)	(1,474,464)
Common stock outstanding, ending balance (in shares)	144,166,009	150,471,570