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Revenue Recognition - Revenue Disaggregation (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Jan. 02, 2021	Sep. 26, 2020	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Disaggregation of Revenue [Line Items]
Revenue from contracts with customers									$ 3,569.3	$ 3,708.3
Net sales									3,942.2	4,067.7	$ 4,070.4
Europe
Disaggregation of Revenue [Line Items]
Net sales									677.5	730.3	784.7
Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales									1,234.6	1,345.7
Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales									1,643.9	1,612.9
Repair Systems  & Information Group
Disaggregation of Revenue [Line Items]
Net sales									1,238.2	1,334.5
Financial Services
Disaggregation of Revenue [Line Items]
Net sales									349.7	337.7
Intersegment eliminations
Disaggregation of Revenue [Line Items]
Net sales									(524.2)	(563.1)
Product and Service, Other
Disaggregation of Revenue [Line Items]
Net sales									23.2	21.7
Product And Services, Excluding Financial Services
Disaggregation of Revenue [Line Items]
Net sales	$ 1,074.4	$ 941.6	$ 724.3	$ 852.2	$ 955.2	$ 901.8	$ 951.3	$ 921.7	3,592.5	3,730.0	3,740.7
Product And Services, Excluding Financial Services | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales									2,728.3	2,777.3
Product And Services, Excluding Financial Services | All other professionals
Disaggregation of Revenue [Line Items]
Net sales									864.2	952.7
Product And Services, Excluding Financial Services | North America
Disaggregation of Revenue [Line Items]
Net sales									2,595.8	2,654.6
Product And Services, Excluding Financial Services | Europe
Disaggregation of Revenue [Line Items]
Net sales									616.8	664.9
Product And Services, Excluding Financial Services | All other
Disaggregation of Revenue [Line Items]
Net sales									379.9	410.5
Product And Services, Excluding Financial Services | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales									951.4	1,038.2
Product And Services, Excluding Financial Services | Commercial & Industrial Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales									87.2	85.5
Product And Services, Excluding Financial Services | Commercial & Industrial Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales									864.2	952.7
Product And Services, Excluding Financial Services | Commercial & Industrial Group | North America
Disaggregation of Revenue [Line Items]
Net sales									432.3	482.1
Product And Services, Excluding Financial Services | Commercial & Industrial Group | Europe
Disaggregation of Revenue [Line Items]
Net sales									276.2	291.7
Product And Services, Excluding Financial Services | Commercial & Industrial Group | All other
Disaggregation of Revenue [Line Items]
Net sales									242.9	264.4
Product And Services, Excluding Financial Services | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales									1,643.9	1,612.9
Product And Services, Excluding Financial Services | Snap-on Tools Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales									1,643.9	1,612.9
Product And Services, Excluding Financial Services | Snap-on Tools Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Snap-on Tools Group | North America
Disaggregation of Revenue [Line Items]
Net sales									1,442.8	1,406.1
Product And Services, Excluding Financial Services | Snap-on Tools Group | Europe
Disaggregation of Revenue [Line Items]
Net sales									125.7	131.9
Product And Services, Excluding Financial Services | Snap-on Tools Group | All other
Disaggregation of Revenue [Line Items]
Net sales									75.4	74.9
Product And Services, Excluding Financial Services | Repair Systems  & Information Group
Disaggregation of Revenue [Line Items]
Net sales									997.2	1,078.9
Product And Services, Excluding Financial Services | Repair Systems  & Information Group | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales									997.2	1,078.9
Product And Services, Excluding Financial Services | Repair Systems  & Information Group | All other professionals
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Repair Systems  & Information Group | North America
Disaggregation of Revenue [Line Items]
Net sales									720.7	766.4
Product And Services, Excluding Financial Services | Repair Systems  & Information Group | Europe
Disaggregation of Revenue [Line Items]
Net sales									214.9	241.3
Product And Services, Excluding Financial Services | Repair Systems  & Information Group | All other
Disaggregation of Revenue [Line Items]
Net sales									61.6	71.2
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 | Financial Services | Vehicle service professionals
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Financial Services | All other professionals
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Financial Services | North America
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Financial Services | Europe
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Product And Services, Excluding Financial Services | Financial Services | All other
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									(524.2)	(563.1)	(550.8)
Product And Services, Excluding Financial Services | Intersegment eliminations | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales									283.2	307.5
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									241.0	255.6
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									4,116.7	4,293.1	4,291.5
Product And Services, Excluding Financial Services | Operating Segments | Commercial & Industrial Group
Disaggregation of Revenue [Line Items]
Net sales									1,234.6	1,345.7	1,343.3
Product And Services, Excluding Financial Services | Operating Segments | Snap-on Tools Group
Disaggregation of Revenue [Line Items]
Net sales									1,643.9	1,612.9	1,613.8
Product And Services, Excluding Financial Services | Operating Segments | Repair Systems  & Information Group
Disaggregation of Revenue [Line Items]
Net sales									1,238.2	1,334.5	1,334.4
Product And Services, Excluding Financial Services | Operating Segments | Financial Services
Disaggregation of Revenue [Line Items]
Net sales									0.0	0.0
Financial Service
Disaggregation of Revenue [Line Items]
Net sales	$ 93.4	$ 85.8	$ 84.6	$ 85.9	$ 83.9	$ 84.1	$ 84.1	$ 85.6	349.7	337.7	$ 329.7
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									$ 349.7	$ 337.7

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