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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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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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Total number of nonredeemable preferred shares (or preferred stock redeemable solely at the option of the issuer) issued to shareholders (includes related preferred shares that were issued, repurchased, and remain in the treasury). May be all or portion of the number of preferred shares authorized. Excludes preferred shares that are classified as debt.

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Aggregate share number for all nonredeemable preferred stock (or preferred stock redeemable solely at the option of the issuer) held by stockholders. Does not include preferred shares that have been repurchased.

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The remaining number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan.

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The amount allocated to treasury stock. Treasury stock is common and preferred shares of an entity that were issued, repurchased by the entity, and are held in its treasury.

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