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Quarterly Financial Data (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Aug. 31, 2019	May 31, 2019	Feb. 28, 2019	Nov. 30, 2018	Aug. 31, 2018	May 31, 2018	Feb. 28, 2018	Nov. 30, 2017	Aug. 31, 2019	Aug. 31, 2018	Aug. 31, 2017
Quarterly Financial Information Disclosure [Abstract]
Net sales	$ 938.1	$ 947.6	$ 854.4	$ 932.6	$ 1,061.2	$ 944.0	$ 832.1	$ 842.8	$ 3,672.7	$ 3,680.1	$ 3,505.1
Gross profit	394.7	383.6	333.9	367.5	411.9	389.1	334.5	349.9	1,479.7	1,485.4	1,481.1
Net income	$ 96.1	$ 88.4	$ 66.3	$ 79.6	$ 108.2	$ 73.0	$ 96.9	$ 71.5	$ 330.4	$ 349.6	$ 321.7
Basic earnings per share (in dollars per share)	$ 2.43	$ 2.23	$ 1.68	$ 1.99	$ 2.71	$ 1.81	$ 2.34	$ 1.71	$ 8.32	$ 8.54	$ 7.46
Diluted earnings per share (in dollars per share)	$ 2.42	$ 2.22	$ 1.67	$ 1.98	$ 2.70	$ 1.80	$ 2.33	$ 1.70	$ 8.29	$ 8.52	$ 7.43

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The amount of net income (loss) for the period per each share of common stock or unit outstanding during the reporting period.

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