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Comprehensive Income - Tax Amounts Allocated to Components of Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
May 31, 2022 | May 31, 2021 | May 31, 2022 | May 31, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | $ (0.3) | $ 24.5 | $ (4.2) | $ 39.9
Other comprehensive (loss) income, tax | (0.3) | (3.8) | (1.1) | (4.6)
Other comprehensive (loss) income items, net of tax | (0.6) | 20.7 | (5.3) | 35.3
Foreign currency translation adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | (1.8) | 22.3 | (8.9) | 33.6
Other comprehensive (loss) income, tax | 0.0 | 0.0 | 0.0 | 0.0
Other comprehensive (loss) income items, net of tax | (1.8) | 22.3 | (8.9) | 33.6
Prior service cost |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.7 | 0.8 | 2.1 | 2.2
Amortization of defined benefit pension items, tax | (0.1) | (0.2) | (0.5) | (0.5)
Amortization of defined benefit pension items, after tax | 0.6 | 0.6 | 1.6 | 1.7
Actuarial losses |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.8 | 1.4 | 2.6 | 4.1
Amortization of defined benefit pension items, tax | (0.2) | (0.4) | (0.6) | (0.9)
Amortization of defined benefit pension items, after tax | 0.6 | 1.0 | 2.0 | 3.2
Total defined benefit pension plans, net |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | 1.5 | 2.2 | 4.7 | 6.3
Other comprehensive (loss) income, tax | (0.3) | (3.8) | (1.1) | (4.6)
Other comprehensive (loss) income items, net of tax | 1.2 | (1.6) | 3.6 | 1.7
Tax adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Tax adjustments, before tax | 0.0 | 0.0 | 0.0 | 0.0
Tax adjustments, tax | 0.0 | (3.2) | 0.0 | (3.2)
Tax adjustments, after tax | $ 0.0 | $ (3.2) | $ 0.0 | $ (3.2)

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