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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, 2021 | May 31, 2020 | May 31, 2021 | May 31, 2020
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive income (loss), before tax | $ 24.5 | $ (11.4) | $ 39.9 | $ (8.4)
Other comprehensive income (loss), tax | (3.8) | (0.6) | (4.6) | (1.8)
Other comprehensive income (loss) items, net of tax | 20.7 | (12.0) | 35.3 | (10.2)
Foreign currency translation adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive income (loss), before tax | 22.3 | (13.8) | 33.6 | (15.6)
Other comprehensive income (loss), tax | 0.0 | 0.0 | 0.0 | 0.0
Other comprehensive income (loss) items, net of tax | 22.3 | (13.8) | 33.6 | (15.6)
Tax adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Tax adjustments, before tax | 0.0 | 0.0 | 0.0 | 0.0
Tax adjustments, tax | (3.2) | 0.0 | (3.2) | 0.0
Tax adjustments, after tax | (3.2) | 0.0 | (3.2) | 0.0
Prior service cost |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.8 | 1.0 | 2.2 | 3.0
Amortization of defined benefit pension items, tax | (0.2) | (0.2) | (0.5) | (0.7)
Amortization of defined benefit pension items, after tax | 0.6 | 0.8 | 1.7 | 2.3
Actuarial losses |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 1.4 | 1.4 | 4.1 | 4.2
Amortization of defined benefit pension items, tax | (0.4) | (0.4) | (0.9) | (1.1)
Amortization of defined benefit pension items, after tax | 1.0 | 1.0 | 3.2 | 3.1
Total defined benefit pension plans, net |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive income (loss), before tax | 2.2 | 2.4 | 6.3 | 7.2
Other comprehensive income (loss), tax | (3.8) | (0.6) | (4.6) | (1.8)
Other comprehensive income (loss) items, net of tax | $ (1.6) | $ 1.8 | $ 1.7 | $ 5.4

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