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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
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Jan. 03, 2015 | Dec. 28, 2013 | Dec. 29, 2012
Receivables [Abstract] |  |  |
Balance at Beginning of Year | $ 46.0 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses | $ 48.7 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses | $ 50.3 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses
Expenses | 41.7 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision | 30.7 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision | 31.3 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesProvision
Deductions | (35.3)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries | (33.4)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries | (32.9)sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLossesWriteOffsNetOfRecoveries
Balance at End of Year | $ 52.4 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses | $ 46.0 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses | $ 48.7 sna_AccountsNotesLoansAndContractReceivableAllowanceForCreditLosses

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