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Common Stock and Related Matters - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Aug. 31, 2022 | Aug. 31, 2021
Treasury Stock Transactions, Excluding Value of Shares Reissued [Abstract] |  |
Treasury stock, shares (in shares) | 21,753,820 | 18,826,611
Treasury stock at original repurchase cost | $ 2,175.4 | $ 1,663.7
Reacquired shares of outstanding common stock (shares) | 2,900,000 |
Maximum number of shares that may yet be purchased under the program (shares) | 2,800,000 |
Preferred Stock, Number of Shares, Par Value and Other Disclosures [Abstract] |  |
Preferred stock authorized (in shares) | 50,000,000 | 50,000,000
Preferred stock, issued (in shares) | 0 | 0
Preferred stock, outstanding (in shares) | 0 | 0

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