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Comprehensive Income - Schedule of Tax Expense or Benefit Allocated to Each Component of Other Comprehensive Loss (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Feb. 28, 2025 | Feb. 29, 2024 | Feb. 28, 2025 | Feb. 29, 2024
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | $ (11.1) | $ 1.5 | $ (27.7) | $ 0.2
Other comprehensive (loss) income, tax (expense) benefit | (0.1) | (0.1) | (0.3) | (0.3)
Other comprehensive (loss) income items, net of tax | (11.2) | 1.4 | (28.0) | (0.1)
Foreign currency translation adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | (11.7) | 0.7 | (29.0) | (1.4)
Other comprehensive (loss) income, tax (expense) benefit | 0.0 | 0.0 | 0.0 | 0.0
Other comprehensive (loss) income items, net of tax | (11.7) | 0.7 | (29.0) | (1.4)
Actuarial losses on defined benefit pension plans |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | 0.6 | 0.8 | 1.3 | 1.6
Other comprehensive (loss) income, tax (expense) benefit | (0.1) | (0.1) | (0.3) | (0.3)
Other comprehensive (loss) income items, net of tax | $ 0.5 | $ 0.7 | $ 1.0 | $ 1.3

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