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Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($) | 1 Months Ended | 3 Months Ended | 6 Months Ended
--- | --- | --- | ---
Sep. 30, 2019 | Feb. 28, 2021 | Feb. 29, 2020 | Feb. 28, 2021 | Feb. 29, 2020
Common stock outstanding: |  |  |  |  |
Common stock outstanding, beginning balances (in shares) |  |  |  | 150,330,358 |
Common stock outstanding, ending balance (in shares) |  | 149,366,501 |  | 149,366,501 |
2020 Share Repurchase Program |  |  |  |  |
Common stock outstanding: |  |  |  |  |
Share repurchase program, amount authorized | $ 600,000,000.0 |  |  |  |
Capital allocation framework period | 2 years |  |  |  |
Number of shares repurchased (in shares) |  |  |  | 9,400,000 |
Value of shares repurchased |  |  |  | $ 345,900,000 |
Share repurchase program, remaining amount available |  | $ 254,100,000 |  | $ 254,100,000 |
Common stock: |  |  |  |  |
Common stock outstanding: |  |  |  |  |
Common stock outstanding, beginning balances (in shares) | 153,520,380 | 150,471,570 | 152,300,356 | 150,330,358 | 153,520,380
Shares issued upon exercise of stock options (in shares) |  | 0 | 43,069 | 0 | 56,999
Shares issued under employee stock purchase plan (in shares) |  | 771,548 | 595,717 | 771,548 | 595,717
Vesting of restricted stock (in shares) |  | 24,054 | 322,872 | 2,241,136 | 2,239,612
Purchases of treasury stock under employee stock plans (in shares) |  | (8,873) | (86,706) | (610,279) | (617,123)
Treasury shares purchased (in shares) |  | (1,891,798) | (1,767,782) | (3,366,262) | (4,388,059)
Common stock outstanding, ending balance (in shares) |  | 149,366,501 | 151,407,526 | 149,366,501 | 151,407,526

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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
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