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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 |

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