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Comprehensive Income - Tax Amounts Allocated to Components of Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 3 Months Ended
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Nov. 30, 2020 | Nov. 30, 2019
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |
Other comprehensive income (loss), before tax | $ 6.7 | $ 4.3
Other comprehensive income (loss), tax | (0.5) | (0.5)
Other comprehensive income items, net of tax | 6.2 | 3.8
Foreign currency translation adjustments |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |
Other comprehensive income (loss), before tax | 4.6 | 1.9
Other comprehensive income (loss), tax | 0.0 | 0.0
Other comprehensive income items, net of tax | 4.6 | 1.9
Prior service cost |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |
Amortization of defined benefit pension items, before tax | 0.7 | 1.0
Amortization of defined benefit pension items, tax | (0.2) | (0.2)
Amortization of defined benefit pension items, after tax | 0.5 | 0.8
Actuarial losses |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |
Amortization of defined benefit pension items, before tax | 1.4 | 1.4
Amortization of defined benefit pension items, tax | (0.3) | (0.3)
Amortization of defined benefit pension items, after tax | 1.1 | 1.1
Total defined benefit pension plans, net |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |
Other comprehensive income (loss), before tax | 2.1 | 2.4
Other comprehensive income (loss), tax | (0.5) | (0.5)
Other comprehensive income items, net of tax | $ 1.6 | $ 1.9

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