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Comprehensive Income - Tax Amounts Allocated to Components of Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Feb. 28, 2023 | Feb. 28, 2022 | Feb. 28, 2023 | Feb. 28, 2022
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | $ 0.2 | $ 6.4 | $ 0.2 | $ (3.9)
Other comprehensive (loss) income, tax (expense) benefit | (0.3) | (0.4) | (0.7) | (0.8)
Other comprehensive (loss) income items, net of tax | (0.1) | 6.0 | (0.5) | (4.7)
Foreign currency translation adjustments |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | (1.1) | 4.8 | (2.6) | (7.1)
Other comprehensive (loss) income, tax (expense) benefit | 0.0 | 0.0 | 0.0 | 0.0
Other comprehensive (loss) income items, net of tax | (1.1) | 4.8 | (2.6) | (7.1)
Prior service cost |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.6 | 0.7 | 1.3 | 1.4
Amortization of defined benefit pension items, tax (expense) benefit | (0.1) | (0.2) | (0.3) | (0.4)
Amortization of defined benefit pension items, net of tax | 0.5 | 0.5 | 1.0 | 1.0
Actuarial losses |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Amortization of defined benefit pension items, before tax | 0.7 | 0.9 | 1.5 | 1.8
Amortization of defined benefit pension items, tax (expense) benefit | (0.2) | (0.2) | (0.4) | (0.4)
Amortization of defined benefit pension items, net of tax | 0.5 | 0.7 | 1.1 | 1.4
Total defined benefit pension plans, net |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Other comprehensive (loss) income, before tax | 1.3 | 1.6 | 2.8 | 3.2
Other comprehensive (loss) income, tax (expense) benefit | (0.3) | (0.4) | (0.7) | (0.8)
Other comprehensive (loss) income items, net of tax | $ 1.0 | $ 1.2 | $ 2.1 | $ 2.4

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- Definition Amount after tax of other comprehensive income (loss) attributable to parent entity. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 1B -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669625-108580 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 1A -Subparagraph (c)(3) -URI https://asc.fasb.org/extlink&oid=109239629&loc=SL4573702-111684 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 45 -Paragraph 20 -URI https://asc.fasb.org/extlink&oid=126929396&loc=SL4569643-111683 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 1A -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669619-108580 Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 45 -Paragraph 19 -URI https://asc.fasb.org/extlink&oid=126929396&loc=SL4569616-111683 + Details
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