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Receivables - Rollforward of Combined Allowances for Doubtful Accounts Related to Trade and Other Accounts Receivable (Detail) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2016	Jan. 02, 2016	Jan. 03, 2015
Receivables [Abstract]
Balance at Beginning of Year	$ 59.3	$ 52.4	$ 46.0
Expenses	51.5	45.1	41.7
Deductions	(44.3)	(38.2)	(35.3)
Balance at End of Year	$ 66.5	$ 59.3	$ 52.4

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

- References

No definition available.

+ Details

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