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Income Taxes - Narratve (Detail) - USD ($)	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Income Tax [Line Items]
Effective income tax rate	22.80%	23.20%	23.20%
Valuation allowance	$ 23,500,000	$ 24,500,000	$ 26,700,000
Unrecognized tax benefits	5,600,000	8,900,000	9,100,000	$ 10,300,000
Accrued interest and penalties related to unrecognized tax benefits	900,000	1,400,000	1,100,000
Increase in unrecognized tax benefits	600,000	400,000	400,000
Undistributed earnings	416,400,000
Undistributed foreign earnings	4,200,000	$ 4,400,000	$ 5,400,000
Deferred Income Tax Assets
Income Tax [Line Items]
Unrecognized tax benefits	1,200,000
Other Long-Term Liabilities
Income Tax [Line Items]
Unrecognized tax benefits	4,400,000
Accrued interest and penalties related to unrecognized tax benefits	900,000
Minimum
Income Tax [Line Items]
Decrease in unrecognized tax benefits	0
Increase in unrecognized tax benefits	0
Maximum
Income Tax [Line Items]
Decrease in unrecognized tax benefits	500,000
Increase in unrecognized tax benefits	$ 700,000

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Effective income tax rate on earnings attributable to Snap-on.

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Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiary and other recognized entity not within country of domicile. Includes, but is not limited to, other basis differences.

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The earnings that is allocated to common stock and participating securities to the extent that each security may share in earnings as if all of the earnings for the period had been distributed.

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Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return.

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