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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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The maximum number of nonredeemable preferred shares (or preferred stock redeemable solely at the option of the issuer) permitted to be issued by an entity's charter and bylaws.

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