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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, 2020	May 31, 2019	May 31, 2020	May 31, 2019
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive income (loss), before tax	$ (11.4)	$ (6.9)	$ (8.4)	$ (5.5)
Other comprehensive income (loss), tax	(0.6)	(0.5)	(1.8)	(1.8)
Other comprehensive loss items, net of tax	(12.0)	(7.4)	(10.2)	(7.3)
Foreign currency translation adjustments
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive income (loss), before tax	(13.8)	(8.7)	(15.6)	(12.6)
Other comprehensive income (loss), tax	0.0	0.0	0.0	0.0
Other comprehensive loss items, net of tax	(13.8)	(8.7)	(15.6)	(12.6)
Actuarial losses
Accumulated Other Comprehensive Income (Loss) [Line Items]
Actuarial gain or loss, before amortization of defined benefit pensions items, before tax			0.0	1.3
Actuarial gain or loss, before amortization of defined benefit pensions items, tax			0.0	(0.4)
Actuarial gain or loss, before amortization of defined benefit pensions items, after tax			0.0	0.9
Amortization of defined benefit pension items, before tax	1.4	1.0	4.2	3.1
Amortization of defined benefit pension items, tax	(0.4)	(0.3)	(1.1)	(0.8)
Amortization of defined benefit pension items, after tax	1.0	0.7	3.1	2.3
Prior service cost
Accumulated Other Comprehensive Income (Loss) [Line Items]
Amortization of defined benefit pension items, before tax	1.0	0.8	3.0	2.3
Amortization of defined benefit pension items, tax	(0.2)	(0.2)	(0.7)	(0.5)
Amortization of defined benefit pension items, after tax	0.8	0.6	2.3	1.8
Settlement losses
Accumulated Other Comprehensive Income (Loss) [Line Items]
Amortization of defined benefit pension items, before tax			0.0	0.4
Amortization of defined benefit pension items, tax			0.0	(0.1)
Amortization of defined benefit pension items, after tax			0.0	0.3
Total defined benefit pension plans, net
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other comprehensive income (loss), before tax	2.4	1.8	7.2	7.1
Other comprehensive income (loss), tax	(0.6)	(0.5)	(1.8)	(1.8)
Other comprehensive loss items, net of tax	$ 1.8	$ 1.3	$ 5.4	$ 5.3

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