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Comprehensive Income (Tax Amounts Allocated to Components of Other Comprehensive Income (Loss)) (Details) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2018	Nov. 30, 2017
Accumulated Other Comprehensive Income (Loss) [Line Items]
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) income, net of tax	(6.2)	(8.9)
Other comprehensive loss
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	(5.2)	(8.0)
Other comprehensive (loss) income, tax	(1.0)	(0.9)
Other comprehensive (loss) income, net of tax	(6.2)	(8.9)
Foreign currency translation adjustments
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	(8.8)	(10.5)
Other comprehensive (loss) income, tax	0.0	0.0
Other comprehensive (loss) income, net of tax	(8.8)	(10.5)
Total defined benefit pension plans, net
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	3.6	2.5
Other comprehensive (loss) income, tax	(1.0)	(0.9)
Other comprehensive (loss) income, net of tax	2.6	1.6
Prior service cost
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	0.8	0.8
Other comprehensive (loss) income, tax	(0.2)	(0.3)
Other comprehensive (loss) income, net of tax	0.6	0.5
Actuarial losses
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	1.1	1.7
Other comprehensive (loss) income, tax	(0.3)	(0.6)
Other comprehensive (loss) income, net of tax	0.8	1.1
Settlement losses
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive (loss) income, before tax	0.4	0.0
Other comprehensive (loss) income, tax	(0.1)	0.0
Other comprehensive (loss) income, net of tax	$ 0.3	$ 0.0

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