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Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 29, 2018	Sep. 30, 2017	Sep. 29, 2018	Sep. 30, 2017	Dec. 30, 2017	Dec. 31, 2016
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers	$ 892.7		$ 2,772.3
Net sales	980.1	$ 982.8	3,035.2	$ 2,945.8
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	330.2		999.6
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	389.8		1,206.4
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	314.4		994.5
Financial Services
Disaggregation of Revenue [Line Items]
Net sales	82.0		247.0
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(136.3)	(137.0)	(412.3)	(417.3)
Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,034.4	1,040.8	3,200.5	3,129.6
Operating Segments | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	330.2	314.6	999.6	923.3
Operating Segments | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	389.8	392.7	1,206.4	1,215.9
Operating Segments | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	314.4	333.5	994.5	990.4
Other revenues
Disaggregation of Revenue [Line Items]
Net sales	5.4		15.9
Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	898.1	903.8	2,788.2	2,712.3	$ 3,686.9	$ 3,430.4
Product And Services, Excluding Financial Services | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	255.7		781.6
Product And Services, Excluding Financial Services | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	389.8		1,206.4
Product And Services, Excluding Financial Services | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	252.6		800.2
Product And Services, Excluding Financial Services | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | North America
Disaggregation of Revenue [Line Items]
Net sales	632.9		1,918.5
Product And Services, Excluding Financial Services | North America | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	119.9		345.7
Product And Services, Excluding Financial Services | North America | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	335.4		1,020.5
Product And Services, Excluding Financial Services | North America | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	177.6		552.3
Product And Services, Excluding Financial Services | North America | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | Europe
Disaggregation of Revenue [Line Items]
Net sales	160.0		539.9
Product And Services, Excluding Financial Services | Europe | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	70.4		229.9
Product And Services, Excluding Financial Services | Europe | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	32.0		117.2
Product And Services, Excluding Financial Services | Europe | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	57.6		192.8
Product And Services, Excluding Financial Services | Europe | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | All other
Disaggregation of Revenue [Line Items]
Net sales	105.2		329.8
Product And Services, Excluding Financial Services | All other | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	65.4		206.0
Product And Services, Excluding Financial Services | All other | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	22.4		68.7
Product And Services, Excluding Financial Services | All other | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	17.4		55.1
Product And Services, Excluding Financial Services | All other | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	(136.3)		(412.3)
Product And Services, Excluding Financial Services | Intersegment eliminations | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	74.5		218.0
Product And Services, Excluding Financial Services | Intersegment eliminations | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | Intersegment eliminations | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	61.8		194.3
Product And Services, Excluding Financial Services | Intersegment eliminations | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	898.1		2,788.2
Product And Services, Excluding Financial Services | Operating Segments | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	330.2		999.6
Product And Services, Excluding Financial Services | Operating Segments | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	389.8		1,206.4
Product And Services, Excluding Financial Services | Operating Segments | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	314.4		994.5
Product And Services, Excluding Financial Services | Operating Segments | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales	663.8		2,076.1
Product And Services, Excluding Financial Services | Vehicle service professionals | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	21.4		69.5
Product And Services, Excluding Financial Services | Vehicle service professionals | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	389.8		1,206.4
Product And Services, Excluding Financial Services | Vehicle service professionals | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	252.6		800.2
Product And Services, Excluding Financial Services | Vehicle service professionals | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | All other professionals
Disaggregation of Revenue [Line Items]
Net sales	234.3		712.1
Product And Services, Excluding Financial Services | All other professionals | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	234.3		712.1
Product And Services, Excluding Financial Services | All other professionals | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | All other professionals | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Product And Services, Excluding Financial Services | All other professionals | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Financial Service
Disaggregation of Revenue [Line Items]
Net sales	82.0	$ 79.0	247.0	$ 233.5
Financial Service | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Financial Service | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Financial Service | Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales	0.0		0.0
Financial Service | Financial Services
Disaggregation of Revenue [Line Items]
Net sales	82.0		247.0
Financial Service | Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales	$ 0.0		$ 0.0

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