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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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