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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, 2019 | Feb. 28, 2019 | Nov. 30, 2018 | May 31, 2018 | Feb. 28, 2018 | Nov. 30, 2017 | May 31, 2019 | May 31, 2018
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Net current period other comprehensive (loss) income | $ (7.4) | $ 6.3 | $ (6.2) | $ (5.7) | $ 4.3 | $ (8.9) |  |
Actuarial gain or loss, before tax |  |  |  |  |  |  | $ 1.3 | $ 0.0
Actuarial gain or loss, tax |  |  |  |  |  |  | (0.4) | 0.0
Actuarial gain or loss, net of tax |  |  |  |  |  |  | 0.9 | 0.0
Other comprehensive loss |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax | (6.9) |  |  | (5.1) |  |  | (5.5) | (8.1)
Other comprehensive loss, tax | (0.5) |  |  | (0.6) |  |  | (1.8) | (2.2)
Net current period other comprehensive (loss) income | (7.4) | $ 6.3 | $ (6.2) | (5.7) | $ 4.3 | $ (8.9) | (7.3) | (10.3)
Foreign currency translation adjustments |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax | (8.7) |  |  | (7.6) |  |  | (12.6) | (15.6)
Other comprehensive loss, tax | 0.0 |  |  | 0.0 |  |  | 0.0 | 0.0
Net current period other comprehensive (loss) income | (8.7) |  |  | (7.6) |  |  | (12.6) | (15.6)
Total defined benefit pension plans, net |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax | 1.8 |  |  | 2.5 |  |  | 7.1 | 7.5
Other comprehensive loss, tax | (0.5) |  |  | (0.6) |  |  | (1.8) | (2.2)
Net current period other comprehensive (loss) income | 1.3 |  |  | 1.9 |  |  | 5.3 | 5.3
Prior service cost |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax | 0.8 |  |  | 0.8 |  |  | 2.3 | 2.4
Other comprehensive loss, tax | (0.2) |  |  | (0.1) |  |  | (0.5) | (0.7)
Net current period other comprehensive (loss) income | 0.6 |  |  | 0.7 |  |  | 1.8 | 1.7
Actuarial losses |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax | 1.0 |  |  | 1.7 |  |  | 3.1 | 5.1
Other comprehensive loss, tax | (0.3) |  |  | (0.5) |  |  | (0.8) | (1.5)
Net current period other comprehensive (loss) income | $ 0.7 |  |  | $ 1.2 |  |  | 2.3 | 3.6
Settlement losses |  |  |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |  |  |  |
Other comprehensive loss, before tax |  |  |  |  |  |  | 0.4 | 0.0
Other comprehensive loss, tax |  |  |  |  |  |  | (0.1) | 0.0
Net current period other comprehensive (loss) income |  |  |  |  |  |  | $ 0.3 | $ 0.0

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