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Quarterly Financial Data (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Aug. 31, 2020	May 31, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	May 31, 2019	Feb. 28, 2019	Nov. 30, 2018	Aug. 31, 2020	Aug. 31, 2019	Aug. 31, 2018
Quarterly Financial Information Disclosure [Abstract]
Net sales	$ 891.2	$ 776.2	$ 824.2	$ 834.7	$ 938.1	$ 947.6	$ 854.4	$ 932.6	$ 3,326.3	$ 3,672.7	$ 3,680.1
Gross profit	375.1	327.6	343.9	355.8	394.7	383.6	333.9	367.5	1,402.4	1,479.7	1,485.4
Net income	$ 73.7	$ 60.4	$ 57.2	$ 57.0	$ 96.1	$ 88.4	$ 66.3	$ 79.6	$ 248.3	$ 330.4	$ 349.6
Basic earnings per share (in dollars per share)	$ 1.88	$ 1.53	$ 1.45	$ 1.44	$ 2.43	$ 2.23	$ 1.68	$ 1.99	$ 6.29	$ 8.32	$ 8.54
Diluted earnings per share (in dollars per share)	$ 1.87	$ 1.52	$ 1.44	$ 1.44	$ 2.42	$ 2.22	$ 1.67	$ 1.98	$ 6.27	$ 8.29	$ 8.52

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-Topic 606
-SubTopic 10
-Section 50
-Paragraph 5
-URI http://asc.fasb.org/extlink&oid=121604090&loc=SL49130545-203045

Reference 11: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 924
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 11.L)
-URI http://asc.fasb.org/extlink&oid=6472922&loc=d3e499488-122856

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