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Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 29, 2018	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 30, 2017	Sep. 30, 2017	Jul. 01, 2017	Apr. 01, 2017	Dec. 29, 2018	Dec. 30, 2017	Dec. 31, 2016
Disaggregation of Revenue [Line Items]
Revenue from Contract with Customer, Excluding Assessed Tax									$ 3,719.6
Net sales									4,070.4	$ 4,000.3	$ 3,711.8
Product and Service, Other
Disaggregation of Revenue [Line Items]
Net sales									21.1
Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 952.5	$ 898.1	$ 954.6	$ 935.5	$ 974.6	$ 903.8	$ 921.4	$ 887.1	3,740.7	3,686.9	3,430.4
Financial Service
Disaggregation of Revenue [Line Items]
Net sales	$ 82.7	$ 82.0	$ 82.0	$ 83.0	$ 79.9	$ 79.0	$ 77.7	$ 76.8	329.7	313.4	281.4
North America | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									2,592.3
Europe
Disaggregation of Revenue [Line Items]
Net sales									784.7	748.8	654.4
Europe | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									718.4
Other Geographical Areas | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									430.0
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales									1,343.3
Commercial & Industrial Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,051.6
Commercial & Industrial Group | Financial Service
Disaggregation of Revenue [Line Items]
Net sales									0.0
Commercial & Industrial Group | North America | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									466.5
Commercial & Industrial Group | Europe | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									311.9
Commercial & Industrial Group | Other Geographical Areas | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									273.2
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales									1,613.8
Snap-on Tools Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,613.8
Snap-on Tools Group | Financial Service
Disaggregation of Revenue [Line Items]
Net sales									0.0
Snap-on Tools Group | North America | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,378.7
Snap-on Tools Group | Europe | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									151.3
Snap-on Tools Group | Other Geographical Areas | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									83.8
Repair Systems & Information Group
Disaggregation of Revenue [Line Items]
Net sales									1,334.4
Repair Systems & Information Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,075.3
Repair Systems & Information Group | Financial Service
Disaggregation of Revenue [Line Items]
Net sales									0.0
Repair Systems & Information Group | North America | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									747.1
Repair Systems & Information Group | Europe | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									255.2
Repair Systems & Information Group | Other Geographical Areas | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									73.0
Financial Services
Disaggregation of Revenue [Line Items]
Net sales									329.7
Financial Services | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Financial Services | Financial Service
Disaggregation of Revenue [Line Items]
Net sales									329.7
Financial Services | North America | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Financial Services | Europe | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Financial Services | Other Geographical Areas | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales									(550.8)
Intersegment eliminations | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									(550.8)	(550.4)	(531.7)
Intersegment eliminations | Commercial & Industrial Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									291.7
Intersegment eliminations | Snap-on Tools Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Intersegment eliminations | Repair Systems & Information Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									259.1
Intersegment eliminations | Financial Services | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Operating Segments | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									4,291.5	4,237.3	3,962.1
Operating Segments | Commercial & Industrial Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,343.3	1,265.0	1,148.3
Operating Segments | Snap-on Tools Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,613.8	1,625.1	1,633.9
Operating Segments | Repair Systems & Information Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,334.4	$ 1,347.2	$ 1,179.9
Operating Segments | Financial Services | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
Vehicle Service Professionals | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									2,780.2
Vehicle Service Professionals | Commercial & Industrial Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									91.1
Vehicle Service Professionals | Snap-on Tools Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,613.8
Vehicle Service Professionals | Repair Systems & Information Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									1,075.3
Vehicle Service Professionals | Financial Services | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
All Other Professional | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									960.5
All Other Professional | Commercial & Industrial Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									960.5
All Other Professional | Snap-on Tools Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
All Other Professional | Repair Systems & Information Group | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0
All Other Professional | Financial Services | Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales									$ 0.0

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