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Share-based Payments - Share-based Compensation Expense Recognized (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	$ 32.5	$ 38.2	$ 29.2
Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	32.5	38.2	29.2
Restricted stock awards and units | Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	15.1	24.6	25.1
Stock options | Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	9.2	4.9	2.7
Performance stock units | Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	6.8	7.3	0.0
Director stock units | Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	$ 1.4	$ 1.4	$ 1.4

X

- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

+ References

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
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