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Receivables - Rollforward of Combined Allowances for Doubtful Accounts Related to Trade and Other Accounts Receivable (Detail) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Receivables [Abstract]
Balance at Beginning of Year	$ 46.0sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses	$ 48.7sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses	$ 50.3sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses
Expenses	41.7sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision	30.7sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision	31.3sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision
Deductions	(35.3)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries	(33.4)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries	(32.9)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries
Balance at End of Year	$ 52.4sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses	$ 46.0sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses	$ 48.7sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses

X

- Definition

Accounts notes, loans and contract receivable allowance for credit losses.

+ References

No definition available.

+ Details

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

X

- Definition

Accounts, Notes loans, and Contract Receivable allowance for credit losses provision.

+ References

No definition available.

+ Details

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

X

- Definition

Accounts, Notes loans, and Contract Receivable allowance for credit losses write-offs net of recoveries.

+ References

No definition available.

+ Details

Name:	sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries
Namespace Prefix:	sna_
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