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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 | 9 Months Ended
--- | --- | ---
May 31, 2024 | May 31, 2023 | May 31, 2024 | May 31, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | $ 1.1 | $ 6.7 | $ 1.3 | $ 6.9
Other comprehensive (loss) income, tax (expense) benefit | (0.3) | (0.4) | (0.6) | (1.1)
Other comprehensive income items, net of tax | 0.8 | 6.3 | 0.7 | 5.8
Amortization of defined benefit pension items, net of tax |  |  | (1.8) | (3.2)
Foreign currency translation adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | 0.3 | 5.2 | (1.1) | 2.6
Other comprehensive (loss) income, tax (expense) benefit | 0.0 | 0.0 | 0.0 | 0.0
Other comprehensive income items, net of tax | 0.3 | 5.2 | (1.1) | 2.6
Amortization of defined benefit pension items, net of tax |  |  | 0.0 | 0.0
Total defined benefit pension plans, net |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | 0.8 | 1.5 | 2.4 | 4.3
Other comprehensive (loss) income, tax (expense) benefit | (0.3) | (0.4) | (0.6) | (1.1)
Other comprehensive income items, net of tax | 0.5 | 1.1 | 1.8 | 3.2
Amortization of defined benefit pension items, net of tax |  |  | (1.8) | (3.2)
Prior service cost |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.0 | 0.7 | 0.0 | 2.0
Amortization of defined benefit pension items, tax (expense) benefit | 0.0 | (0.2) | 0.0 | (0.5)
Amortization of defined benefit pension items, net of tax | 0.0 | 0.5 | 0.0 | 1.5
Actuarial losses |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.8 | 0.8 | 2.4 | 2.3
Amortization of defined benefit pension items, tax (expense) benefit | (0.3) | (0.2) | (0.6) | (0.6)
Amortization of defined benefit pension items, net of tax | $ 0.5 | $ 0.6 | $ 1.8 | $ 1.7

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