Share-based Payments - Share-based Compensation Expense Recognized (Details) - USD ($) $ in Millions	12 Months Ended
Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	$ 49.5	$ 45.1	$ 46.6
Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	49.5	45.1	46.6
Restricted stock awards and units \| Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	26.8	24.0	23.9
Performance stock units \| Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	21.3	18.9	18.6
Stock options \| Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	0.0	0.7	2.6
Director stock units \| Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment expense	$ 1.4	$ 1.5	$ 1.5

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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+ Details