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Quarterly Data - Schedule of Quarterly Data (Detail) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Jan. 02, 2016	Oct. 03, 2015	Jul. 04, 2015	Apr. 04, 2015	Jan. 03, 2015	Sep. 27, 2014	Jun. 28, 2014	Mar. 29, 2014	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Quarterly Financial Data [Abstract]
Net sales	$ 851.7	$ 821.5	$ 851.8	$ 827.8	$ 857.4	$ 806.3	$ 826.5	$ 787.5	$ 3,352.8	$ 3,277.7	$ 3,056.5
Gross profit	412.3	406.9	419.0	410.1	411.3	393.9	400.4	378.7	1,648.3	1,584.3	1,472.9
Financial services revenue	63.1	61.1	58.7	57.4	59.4	53.6	51.7	50.2	240.3	214.9	181.0
Financial services expenses	(18.1)	(17.6)	(17.3)	(17.1)	(17.2)	(15.9)	(16.9)	(15.8)	(70.1)	(65.8)	(55.3)
Net earnings	134.5	119.9	123.0	113.2	118.7	106.4	108.8	98.2	490.6	432.1	359.7
Net earnings attributable to Snap-on Incorporated	$ 131.4	$ 116.8	$ 120.0	$ 110.5	$ 116.2	$ 103.7	$ 106.1	$ 95.9	$ 478.7	$ 421.9	$ 350.3
Earnings per share - basic	$ 2.26	$ 2.01	$ 2.07	$ 1.90	$ 2.00	$ 1.78	$ 1.83	$ 1.65	$ 8.24	$ 7.26	$ 6.02
Earnings per share - diluted	2.22	1.98	2.03	1.87	1.97	1.76	1.80	1.62	8.10	7.14	5.93
Cash dividends paid per share	$ 0.61	$ 0.53	$ 0.53	$ 0.53	$ 0.53	$ 0.44	$ 0.44	$ 0.44	$ 2.20	$ 1.85	$ 1.58

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