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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
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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

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- 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

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- 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

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- 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

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- References No definition available. + Details
Name: | us-gaap_ReceivablesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration