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Common Stock and Related Matters - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Aug. 31, 2021 | Aug. 31, 2020
Treasury Stock Transactions, Excluding Value of Shares Reissued [Abstract] |  |
Treasury stock, shares (in shares) | 18,826,611 | 15,012,449
Treasury stock at original repurchase cost | $ 1,663.7 | $ 1,227.2
Reacquired shares of outstanding common stock (shares) | 3,800,000 |
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
March 2018 Repurchase Plan |  |
Treasury Stock Transactions, Excluding Value of Shares Reissued [Abstract] |  |
Maximum number of shares that may yet be purchased under the program (shares) | 3,800,000 |

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