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Share-based Payments - Schedule of Components of Share-Based Payment Expense (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
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Feb. 29, 2024 | Feb. 28, 2023 | Feb. 29, 2024 | Feb. 28, 2023
Share-Based Payment Arrangement [Abstract] |  |  |  |
Share-based payment expense | $ 12.0 | $ 11.3 | $ 23.1 | $ 22.0

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- References No definition available. + Details
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