Stock-Based Compensation and Other Stock Plans - Additional Information (Detail) (USD $) In Millions, except Share data, unless otherwise specified	12 Months Ended
Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Net stock-based expense	$ 38.1us-gaap_ShareBasedCompensation	$ 38.5us-gaap_ShareBasedCompensation	$ 32.1us-gaap_ShareBasedCompensation
Cash received from stock purchase and option plan exercises	33.0	29.2	46.8
Tax benefit realized from exercise and vesting of share-based payment arrangements	22.3	18.3	15.4
Performance awards shares paid out	146,313sna_PerformanceAwardsSharesPaidOut	213,459sna_PerformanceAwardsSharesPaidOut	53,990sna_PerformanceAwardsSharesPaidOut
2011 Incentive Stock and Awards Plan [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of shares available for future grants	1,884,063
Employees Stock Purchase Plan [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of shares issued	56,582	93,442	33,596
Number of shares reserved for issuance	865,043
Employee contributions for purchase of common stock	2.5
Stock based compensation expense	1.5	2.6	0.5
Employee stock purchase plan, description	The purchase price of the company's common stock to participants is the lesser of the mean of the high and low price of the stock on the beginning date (May 15) or ending date (the following May 14) of each plan year.
Franchisee Stock Purchase Plan [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of shares issued	74,502	105,406	48,819
Number of shares reserved for issuance	230,337
Stock based compensation expense	1.7	3.3	0.7
Franchisee contributions for purchase of common stock	3.2
Franchisee stock purchase plan, description	All franchisees in the United States and Canada are eligible to participate in a franchisee stock purchase plan. The purchase price of the company's common stock to participants is the lesser of the mean of the high and low price of the stock on the beginning date (May 15) or ending date (the following May 14) of each plan year
Stock Option [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Weighted average contractual term (in years)	10 years
Weighted-average grant date fair value	$ 20.19	$ 17.36	$ 15.46
Aggregate intrinsic value exercised	24.6	14.1	23.0
Fair value of stock options vested	9.6	7.9	5.8
Unrecognized compensation cost related to non-vested award	13.2
Cost expected to be recognized over weighted-average period, in years	1 year 6 months
Performance Awards [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Weighted average contractual term (in years)	3 years
Unrecognized compensation cost related to non-vested award	15.1
Cost expected to be recognized over weighted-average period, in years	1 year 7 months 6 days
Maximum stock percentage to be awarded	100.00%
Performance period for awards granted (in years)	3 years
Weighted-average grant date fair value granted	$ 102.11	$ 77.33	$ 60.00
Shares vested	131,000	148,000	213,000
Restricted Stock Units [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Performance period for awards granted (in years)	1 year
Awards granted vesting period (in years)	2 years
Shares vested	95,047
Shares granted	78,585	84,413	95,047
Units granted vesting date	2016	2015	2014
Cash-Settled Stock Appreciation Rights [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Weighted average contractual term (in years)	10 years
Unrecognized compensation cost related to non-vested award	3.2
Cost expected to be recognized over weighted-average period, in years	3 months 18 days
Weighted-average grant date fair value granted	$ 32.86
Shares vested	81,000
Shares granted	4,000
Intrinsic value of stock exercised	5.5	4.4	5.4
Fair value of stock vested	5.9	5.7	3.5
Stock-Settled SARs [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Unrecognized compensation cost related to non-vested award	2.4
Cost expected to be recognized over weighted-average period, in years	1 year 8 months 12 days
Weighted-average grant date fair value granted	$ 19.55	$ 17.47
Shares granted	116,000
Intrinsic value of stock exercised	0.1	0
Fair value of stock vested	$ 0.6	$ 0
Restricted Stock [Member] \| Non-employee Directors [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Shares granted	10,398	13,437	17,811
Directors' Fee Plan [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Percentage of non-employee directors fee	100.00%
Number of shares issued	21,533	2,313	11,025
Deferred shares received	20,483	1,021	9,278
Number of shares reserved for issuance	146,944

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Employee Contributions For Purchase Of Common Stock

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Franchisee Contributions For Purchase of Common Stock.

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Maximum stock to be awarded as percentage of stock initially awarded under share based compensation plan.

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Percentage Of Non-Employee Directors Fee

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Performance awards shares paid out.

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Share based compensation arrangement by share based payment award equity instruments other than options exercises in period intrinsic value.

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Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants performance period.

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Share based compensation arrangement by share based payment award equity instruments other than options grants vesting period.

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Share based compensation arrangement by share based payment award equity instruments other than options weighted average contractual term.

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Share based compensation arrangement by share based payment award expiration year.

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Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Aggregate number of common shares reserved for future issuance.

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Unrecognized cost of unvested share-based compensation awards.

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Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Disclosure of the aggregate tax benefit realized from the exercise of stock options and the conversion of similar instruments during the annual period.

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Description of the plan, including the basis for determining contributions, the employee groups covered, and the nature and effect of significant matters affecting comparability of information for all periods presented. For leveraged ESOPs and pension reversion ESOPs, the description generally includes the basis for releasing shares and how dividends on allocated and unallocated shares are used.

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The cash inflow associated with the amount received from holders exercising their stock options. This item inherently excludes any excess tax benefit, which the entity may have realized and reported separately.

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The aggregate amount of noncash, equity-based employee remuneration. This may include the value of stock or unit options, amortization of restricted stock or units, and adjustment for officers' compensation. As noncash, this element is an add back when calculating net cash generated by operating activities using the indirect method.

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General descriptive information regarding an arrangement under which employees and directors receive: (a) awards of equity shares, equity share options, or other equity instruments; or (b) the entity incurs liabilities to them: (1) in amounts based, at least in part, on the price of the entity's shares or other equity instruments; or (2) that require or may require settlement by issuance of the entity's shares. Such an arrangement is usually provided to employees and directors to compensate them, provide performance incentives to them, and to attract or retain their services. May also include pertinent information particular to a plan that is not elsewhere specified in the taxonomy.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable.

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Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Fair value of options vested. Excludes equity instruments other than options, for example, but not limited to, share units, stock appreciation rights, restricted stock.

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Number of new stock issued during the period.

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