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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. 29, 2018	Dec. 30, 2017	Dec. 31, 2016
Allowance for Doubtful Accounts Receivable [Roll Forward]
Balance at Beginning of Year	$ 75.7	$ 66.5	$ 59.3
Expenses	70.3	65.1	51.5
Deductions	(62.8)	(55.9)	(44.3)
Balance at End of Year	$ 83.2	$ 75.7	$ 66.5

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

- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

+ Details

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