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Supplemental Guarantor Condensed Consolidating Financial Statements (Income Statement) (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
Condensed Financial Statements, Captions [Line Items]
Total sales	$ 947.6			$ 944.0			$ 2,734.6	$ 2,618.9
Cost of products sold	564.0			554.9			1,649.6	1,545.4
Gross profit	383.6			389.1			1,085.0	1,073.5
Selling, distribution, and administrative expenses	263.4			271.8			751.1	745.7
Intercompany charges	0.0			0.0			0.0	0.0
Special charge	(0.1)			9.9			1.3	10.7
Operating profit	120.3			107.4			332.6	317.1
Interest expense, net	8.3			8.4			25.6	24.5
Equity earnings in subsidiaries	0.0			0.0			0.0	0.0
Miscellaneous expense (income), net	0.2			(0.2)			2.6	3.8
Income before income taxes	111.8			99.2			304.4	288.8
Income tax (benefit) expense	23.4			26.2			70.1	47.4
Net income	88.4	$ 66.3	$ 79.6	73.0	$ 96.9	$ 71.5	234.3	241.4
Other comprehensive income (loss) items:
Foreign currency translation adjustments	(8.7)			(7.6)			(12.6)	(15.6)
Defined benefit plans, net of tax	1.3			1.9			5.3	5.3
Other comprehensive loss, net of tax	(7.4)			(5.7)			(7.3)	(10.3)
Comprehensive income	81.0			67.3			227.0	231.1
Parent
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Cost of products sold	0.0			0.0			0.0	0.0
Gross profit	0.0			0.0			0.0	0.0
Selling, distribution, and administrative expenses	10.7			9.7			30.4	30.4
Intercompany charges	(0.8)			(0.8)			(3.0)	(2.6)
Special charge	0.0			0.0			0.0	0.0
Operating profit	(9.9)			(8.9)			(27.4)	(27.8)
Interest expense, net	2.7			2.9			8.8	8.2
Equity earnings in subsidiaries	(99.3)			(82.8)			(265.8)	(269.9)
Miscellaneous expense (income), net	1.4			1.5			4.8	4.5
Income before income taxes	85.3			69.5			224.8	229.4
Income tax (benefit) expense	(3.1)			(3.5)			(9.5)	(12.0)
Net income	88.4			73.0			234.3	241.4
Other comprehensive income (loss) items:
Foreign currency translation adjustments	(8.7)			(7.6)			(12.6)	(15.6)
Defined benefit plans, net of tax	1.3			1.9			5.3	5.3
Other comprehensive loss, net of tax	(7.4)			(5.7)			(7.3)	(10.3)
Comprehensive income	81.0			67.3			227.0	231.1
Subsidiary Issuer
Condensed Financial Statements, Captions [Line Items]
Total sales	843.5			843.7			2,429.0	2,328.3
Cost of products sold	500.3			477.0			1,467.4	1,348.1
Gross profit	343.2			366.7			961.6	980.2
Selling, distribution, and administrative expenses	230.4			240.7			650.2	647.2
Intercompany charges	(0.1)			0.7			(0.1)	(0.2)
Special charge	(0.1)			9.9			1.3	10.7
Operating profit	113.0			115.4			310.2	322.5
Interest expense, net	4.3			4.2			13.1	12.2
Equity earnings in subsidiaries	(7.9)			4.6			(19.9)	2.5
Miscellaneous expense (income), net	(0.7)			(1.0)			(1.4)	0.3
Income before income taxes	117.3			107.6			318.4	307.5
Income tax (benefit) expense	22.9			31.3			68.8	58.5
Net income	94.4			76.3			249.6	249.0
Other comprehensive income (loss) items:
Foreign currency translation adjustments	(8.7)			(7.6)			(12.6)	(15.6)
Defined benefit plans, net of tax	1.1			1.4			3.4	3.9
Other comprehensive loss, net of tax	(7.6)			(6.2)			(9.2)	(11.7)
Comprehensive income	86.8			70.1			240.4	237.3
Subsidiary Guarantor
Condensed Financial Statements, Captions [Line Items]
Total sales	13.9			13.7			40.2	38.2
Cost of products sold	0.0			0.0			0.0	0.0
Gross profit	13.9			13.7			40.2	38.2
Selling, distribution, and administrative expenses	0.7			0.8			2.1	2.4
Intercompany charges	0.0			0.0			0.0	0.0
Special charge	0.0			0.0			0.0	0.0
Operating profit	13.2			12.9			38.1	35.8
Interest expense, net	0.0			0.0			0.0	0.0
Equity earnings in subsidiaries	0.0			0.0			0.0	0.0
Miscellaneous expense (income), net	0.0			0.0			0.0	0.0
Income before income taxes	13.2			12.9			38.1	35.8
Income tax (benefit) expense	2.8			1.6			8.0	4.7
Net income	10.4			11.3			30.1	31.1
Other comprehensive income (loss) items:
Foreign currency translation adjustments	0.0			0.0			0.0	0.0
Defined benefit plans, net of tax	0.0			0.0			0.0	0.0
Other comprehensive loss, net of tax	0.0			0.0			0.0	0.0
Comprehensive income	10.4			11.3			30.1	31.1
Non- Guarantors
Condensed Financial Statements, Captions [Line Items]
Total sales	152.3			144.9			456.8	419.9
Cost of products sold	110.5			118.6			330.1	318.8
Gross profit	41.8			26.3			126.7	101.1
Selling, distribution, and administrative expenses	36.9			38.2			111.9	111.7
Intercompany charges	0.9			0.1			3.1	2.8
Special charge	0.0			0.0			0.0	0.0
Operating profit	4.0			(12.0)			11.7	(13.4)
Interest expense, net	1.3			1.3			3.7	4.1
Equity earnings in subsidiaries	0.0			0.1			0.1	0.2
Miscellaneous expense (income), net	(0.5)			(0.7)			(0.8)	(1.0)
Income before income taxes	3.2			(12.7)			8.7	(16.7)
Income tax (benefit) expense	0.8			(3.2)			2.8	(3.8)
Net income	2.4			(9.5)			5.9	(12.9)
Other comprehensive income (loss) items:
Foreign currency translation adjustments	0.0			0.0			0.0	0.0
Defined benefit plans, net of tax	0.2			0.5			0.8	1.4
Other comprehensive loss, net of tax	0.2			0.5			0.8	1.4
Comprehensive income	2.6			(9.0)			6.7	(11.5)
Consolidating Adjustments
Condensed Financial Statements, Captions [Line Items]
Total sales	(62.1)			(58.3)			(191.4)	(167.5)
Cost of products sold	(46.8)			(40.7)			(147.9)	(121.5)
Gross profit	(15.3)			(17.6)			(43.5)	(46.0)
Selling, distribution, and administrative expenses	(15.3)			(17.6)			(43.5)	(46.0)
Intercompany charges	0.0			0.0			0.0	0.0
Special charge	0.0			0.0			0.0	0.0
Operating profit	0.0			0.0			0.0	0.0
Interest expense, net	0.0			0.0			0.0	0.0
Equity earnings in subsidiaries	107.2			78.1			285.6	267.2
Miscellaneous expense (income), net	0.0			0.0			0.0	0.0
Income before income taxes	(107.2)			(78.1)			(285.6)	(267.2)
Income tax (benefit) expense	0.0			0.0			0.0	0.0
Net income	(107.2)			(78.1)			(285.6)	(267.2)
Other comprehensive income (loss) items:
Foreign currency translation adjustments	8.7			7.6			12.6	15.6
Defined benefit plans, net of tax	(1.3)			(1.9)			(4.2)	(5.3)
Other comprehensive loss, net of tax	7.4			5.7			8.4	10.3
Comprehensive income	(99.8)			(72.4)			(277.2)	(256.9)
Net sales:
Condensed Financial Statements, Captions [Line Items]
Total sales	947.6			944.0			2,734.6	2,618.9
Net sales: | Parent
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Net sales: | Subsidiary Issuer
Condensed Financial Statements, Captions [Line Items]
Total sales	843.5			843.7			2,429.0	2,328.3
Net sales: | Subsidiary Guarantor
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Net sales: | Non- Guarantors
Condensed Financial Statements, Captions [Line Items]
Total sales	104.1			100.3			305.6	290.6
Net sales: | Consolidating Adjustments
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Intercompany sales
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Intercompany sales | Consolidating Adjustments
Condensed Financial Statements, Captions [Line Items]
Total sales	(62.1)			(58.3)			(191.4)	(167.5)
Intercompany sales | Consolidating Adjustments | Parent
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Intercompany sales | Consolidating Adjustments | Subsidiary Issuer
Condensed Financial Statements, Captions [Line Items]
Total sales	0.0			0.0			0.0	0.0
Intercompany sales | Consolidating Adjustments | Subsidiary Guarantor
Condensed Financial Statements, Captions [Line Items]
Total sales	13.9			13.7			40.2	38.2
Intercompany sales | Consolidating Adjustments | Non- Guarantors
Condensed Financial Statements, Captions [Line Items]
Total sales	$ 48.2			$ 44.6			$ 151.2	$ 129.3

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