CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME (Unaudited) - USD ($) shares in Millions, $ in Millions	3 Months Ended
	Nov. 30, 2021	Nov. 30, 2020
Income Statement [Abstract]
Net sales	$ 926.1	$ 792.0
Cost of products sold	540.3	459.6
Gross profit	385.8	332.4
Selling, distribution, and administrative expenses	270.7	246.0
Special charges	0.0	0.7
Operating profit	115.1	85.7
Other expense:
Interest expense, net	5.9	4.9
Miscellaneous expense, net	0.3	1.6
Total other expense	6.2	6.5
Income before income taxes	108.9	79.2
Income tax expense	21.3	19.6
Net income	$ 87.6	$ 59.6
Earnings per share:
Basic earnings per share (in dollars per share)	$ 2.50	$ 1.58
Basic weighted average number of shares outstanding (in shares)	35.1	37.6
Diluted earnings per share (in dollars per share)	$ 2.46	$ 1.57
Diluted weighted average number of shares outstanding (in shares)	35.5	37.8
Dividends declared per share (in dollars per share)	$ 0.13	$ 0.13
Comprehensive income:
Net income	$ 87.6	$ 59.6
Other comprehensive income (loss) items:
Foreign currency translation adjustments	(11.9)	4.6
Defined benefit plans, net of tax	1.2	1.6
Other comprehensive (loss) income items, net of tax	(10.7)	6.2
Comprehensive income	$ 76.9	$ 65.8