Quarterly Financial Data (Unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Aug. 31, 2016	May 31, 2016	Feb. 29, 2016	Nov. 30, 2015	Aug. 31, 2015	May 31, 2015	Feb. 28, 2015	Nov. 30, 2014	Aug. 31, 2016		Aug. 31, 2015		Aug. 31, 2014
Quarterly Financial Information Disclosure [Abstract]
Net Sales	$ 925.5	$ 851.5	$ 777.8	$ 736.6	$ 759.5	$ 683.7	$ 616.1	$ 647.4	$ 3,291.3	[1]	$ 2,706.7	[1]	$ 2,393.5	[1]
Gross Profit	402.1	377.9	336.9	319.4	321.3	295.6	255.7	273.0	1,436.2		1,145.6		979.2
Net Income	$ 82.9	$ 74.0	$ 65.5	$ 68.4	$ 60.1	$ 64.5	$ 46.4	$ 51.1	$ 290.8		$ 222.1		$ 175.8
Basic Earnings per Share (in dollars per share)	$ 1.90	$ 1.70	$ 1.50	$ 1.58	$ 1.39	$ 1.49	$ 1.07	$ 1.18	$ 6.67		$ 5.13		$ 4.07
Diluted Earnings per Share (in dollars per share)	$ 1.89	$ 1.69	$ 1.49	$ 1.57	$ 1.37	$ 1.48	$ 1.07	$ 1.17	$ 6.63		$ 5.09		$ 4.05

[1] Net sales are attributed to each country based on the selling location.