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Receivables - Rollforward of Allowances for Credit Losses for Finance and Contract Receivables (Detail) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Receivables [Abstract]
Finance receivables, Allowance for doubtful accounts, Beginning of year	$ 27.8sna_NotesAndLoansReceivableAllowanceForCreditLosses	$ 26.5sna_NotesAndLoansReceivableAllowanceForCreditLosses
Finance receivables, Provision for bad debt expense	27.4us-gaap_ProvisionForLoanAndLeaseLosses	20.4us-gaap_ProvisionForLoanAndLeaseLosses	18.7us-gaap_ProvisionForLoanAndLeaseLosses
Finance receivables, Charge-offs	(27.5)sna_NotesAndLoansReceivableAllowanceForCreditLossesWriteOffs	(23.5)sna_NotesAndLoansReceivableAllowanceForCreditLossesWriteOffs
Finance receivables, Recoveries	5.1sna_NotesAndLoansReceivableAllowanceForCreditLossesRecoveries	4.5sna_NotesAndLoansReceivableAllowanceForCreditLossesRecoveries
Finance receivables, Currency translation	(0.1)sna_NotesAndLoansReceivableAllowanceForCreditLossesCurrencyTranslationAdjustment	(0.1)sna_NotesAndLoansReceivableAllowanceForCreditLossesCurrencyTranslationAdjustment
Finance receivables, Allowance for doubtful accounts, End of year	32.7sna_NotesAndLoansReceivableAllowanceForCreditLosses	27.8sna_NotesAndLoansReceivableAllowanceForCreditLosses	26.5sna_NotesAndLoansReceivableAllowanceForCreditLosses
Contract receivables, Allowance for doubtful accounts, Beginning of year	3.3sna_ContractReceivableAllowanceForCreditLosses	3.2sna_ContractReceivableAllowanceForCreditLosses
Contract receivables, Provision for bad debt expense	1.9sna_ContractReceivablesProvisionForBadDebtExpense	2.2sna_ContractReceivablesProvisionForBadDebtExpense
Contract receivables, Charge-offs	(2.0)sna_ContractReceivableChargeOffs	(2.2)sna_ContractReceivableChargeOffs
Contract receivables, Recoveries	0.4sna_ContractReceivablesRecoveries	0.2sna_ContractReceivablesRecoveries
Contract receivables, Currency translation	(0.1)sna_ContractReceivablesForeignCurrencyTranslationAdjustments	(0.1)sna_ContractReceivablesForeignCurrencyTranslationAdjustments
Contract receivables, Allowance for doubtful accounts, End of year	$ 3.5sna_ContractReceivableAllowanceForCreditLosses	$ 3.3sna_ContractReceivableAllowanceForCreditLosses	$ 3.2sna_ContractReceivableAllowanceForCreditLosses

X

- Definition

Contract receivable allowance for credit losses.

+ References

No definition available.

+ Details

Name:	sna_ContractReceivableAllowanceForCreditLosses
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Contract receivable, charge-offs.

+ References

No definition available.

+ Details

Name:	sna_ContractReceivableChargeOffs
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Contract Receivables Foreign Currency Translation Adjustments

+ References

No definition available.

+ Details

Name:	sna_ContractReceivablesForeignCurrencyTranslationAdjustments
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Contract receivables provision for bad debt expense.

+ References

No definition available.

+ Details

Name:	sna_ContractReceivablesProvisionForBadDebtExpense
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Contract receivables, recoveries.

+ References

No definition available.

+ Details

Name:	sna_ContractReceivablesRecoveries
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Notes and loans receivable allowance for credit losses.

+ References

No definition available.

+ Details

Name:	sna_NotesAndLoansReceivableAllowanceForCreditLosses
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Notes and loans receivable allowance for credit losses currency translation adjustment.

+ References

No definition available.

+ Details

Name:	sna_NotesAndLoansReceivableAllowanceForCreditLossesCurrencyTranslationAdjustment
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Notes and loans receivable allowance for credit losses recoveries.

+ References

No definition available.

+ Details

Name:	sna_NotesAndLoansReceivableAllowanceForCreditLossesRecoveries
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Notes and loans receivable allowance for credit losses write offs.

+ References

No definition available.

+ Details

Name:	sna_NotesAndLoansReceivableAllowanceForCreditLossesWriteOffs
Namespace Prefix:	sna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of expense related to estimated loss from loan and lease transactions.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 28

-Subparagraph (a)

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585



Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 04

-Paragraph 11

-Article 9



Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 942

-SubTopic 225

-Section S99

-Paragraph 1

-Subparagraph (SX 210.9-04.11)

-URI http://asc.fasb.org/extlink&oid=6879574&loc=d3e536633-122882



Reference 4: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 310

-SubTopic 10

-Section 50

-Paragraph 11B

-Subparagraph (c)(2)

-URI http://asc.fasb.org/extlink&oid=35738203&loc=SL6953423-111524

+ Details

Name:	us-gaap_ProvisionForLoanAndLeaseLosses
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

Name:	us-gaap_ReceivablesAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration