Cover - USD ($) $ in Billions	12 Months Ended
	Jan. 02, 2021	Feb. 05, 2021	Jun. 26, 2020
Cover [Abstract]
Document Type	10-K
Document Annual Report	true
Document Period End Date	Jan. 02, 2021
Current Fiscal Year End Date	--01-02
Document Transition Report	false
Entity File Number	1-7724
Entity Registrant Name	Snap-on Inc
Entity Incorporation, State or Country Code	DE
Entity Tax Identification Number	39-0622040
Entity Address, Address Line One	2801 80th Street
Entity Address, City or Town	Kenosha
Entity Address, State or Province	WI
Entity Address, Postal Zip Code	53143
City Area Code	262
Local Phone Number	656-5200
Title of 12(b) Security	Common Stock, $1.00 par value
Trading Symbol	SNA
Security Exchange Name	NYSE
Entity Well-known Seasoned Issuer	Yes
Entity Voluntary Filers	No
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Large Accelerated Filer
Entity Small Business	false
Entity Emerging Growth Company	false
ICFR Auditor Attestation Flag	true
Entity Shell Company	false
Entity Public Float			$ 7.2
Entity common stock, shares outstanding (in shares)		54,203,094
Documents Incorporated by Reference	Part III of this Annual Report on Form 10-K incorporates by reference certain information that will be set forth in Snap-on’s Proxy Statement, which is expected to first be mailed to shareholders on or about March 12, 2021, prepared for the Annual Meeting of Shareholders scheduled for April 29, 2021.
Amendment Flag	false
Document Fiscal Year Focus	2020
Document Fiscal Period Focus	FY
Entity Central Index Key	0000091440