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Segments - Net Sales by Segment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 01, 2022	Oct. 02, 2021
Segment Reporting Information [Line Items]
Total revenues	$ 1,189.8	$ 1,125.0	$ 3,598.3	$ 3,406.5
Operating earnings	289.9	271.9	895.3	824.1
Interest expense	(11.8)	(13.2)	(35.1)	(41.8)
Other income (expense) – net	13.1	3.7	30.7	11.4
Earnings before income taxes and equity earnings	291.2	262.4	890.9	793.7
Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	356.8	351.4	1,056.0	1,047.6
Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	496.6	471.4	1,529.3	1,433.8
Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	414.0	364.4	1,229.0	1,110.6
Financial Services
Segment Reporting Information [Line Items]
Total revenues	87.3	87.3	261.4	262.8
Operating segments
Segment Reporting Information [Line Items]
Operating earnings	316.3	305.7	977.1	916.6
Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(164.9)	(149.5)	(477.4)	(448.3)
Corporate
Segment Reporting Information [Line Items]
Operating earnings	26.4	33.8	81.8	92.5
Total net sales
Segment Reporting Information [Line Items]
Total revenues	1,102.5	1,037.7	3,336.9	3,143.7
Operating earnings	223.5	201.3	693.2	619.3
Total net sales | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	262.8	271.7	800.1	817.5
Total net sales | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	496.6	471.4	1,529.3	1,433.8
Total net sales | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	343.1	294.6	1,007.5	892.4
Total net sales | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Operating segments
Segment Reporting Information [Line Items]
Total revenues	1,267.4	1,187.2	3,814.3	3,592.0
Total net sales | Operating segments | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	356.8	351.4	1,056.0	1,047.6
Operating earnings	52.3	53.6	149.7	159.8
Total net sales | Operating segments | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	496.6	471.4	1,529.3	1,433.8
Operating earnings	102.2	98.2	342.6	300.6
Total net sales | Operating segments | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	414.0	364.4	1,229.0	1,110.6
Operating earnings	95.4	83.3	282.7	251.4
Total net sales | Operating segments | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	(164.9)	(149.5)	(477.4)	(448.3)
Total net sales | Intersegment eliminations | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	94.0	79.7	255.9	230.1
Total net sales | Intersegment eliminations | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Total net sales | Intersegment eliminations | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	70.9	69.8	221.5	218.2
Total net sales | Intersegment eliminations | Financial Services
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue
Segment Reporting Information [Line Items]
Total revenues	87.3	87.3	261.4	262.8
Operating earnings	66.4	70.6	202.1	204.8
Financial services revenue | Commercial & Industrial Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Snap-on Tools Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Repair Systems & Information Group
Segment Reporting Information [Line Items]
Total revenues	0.0	0.0	0.0	0.0
Financial services revenue | Financial Services
Segment Reporting Information [Line Items]
Total revenues	87.3	87.3	261.4	262.8
Financial services revenue | Operating segments | Financial Services
Segment Reporting Information [Line Items]
Operating earnings	66.4	70.6	202.1	204.8
Financial services revenue | Intersegment eliminations
Segment Reporting Information [Line Items]
Total revenues	$ 0.0	$ 0.0	$ 0.0	$ 0.0

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