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Nature of Operations and Summary of Significant Accounting Policies - Additional Information (Details) (USD $) In Thousands, unless otherwise specified | 3 Months Ended | 12 Months Ended
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Jan. 03, 2015 | Sep. 27, 2014 | Jun. 28, 2014 | Mar. 29, 2014 | Dec. 28, 2013 | Sep. 28, 2013 | Jun. 29, 2013 | Mar. 30, 2013 | Dec. 29, 2012 | Sep. 29, 2012 | Jun. 30, 2012 | Mar. 31, 2012 | Jan. 03, 2015 Segment | Dec. 28, 2013 | Dec. 29, 2012
Acquired Indefinite-lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Operating cycle, annually |  |  |  |  |  |  |  |  |  |  |  |  | 371 days | 364 days | 364 days
Operating cycle, quarterly | 98 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days | 91 days |  |  |
Number of reportable segments |  |  |  |  |  |  |  |  |  |  |  |  | 2 us-gaap_NumberOfReportableSegments |  |
Percentage of completion revenue |  |  |  |  |  |  |  |  |  |  |  |  | $ 19,078 kai_PercentageofCompletionRevenue | $ 19,758 kai_PercentageofCompletionRevenue | $ 42,190 kai_PercentageofCompletionRevenue
Due from customer acceptances | 6,334 us-gaap_DueFromCustomerAcceptances |  |  |  | 10,765 us-gaap_DueFromCustomerAcceptances |  |  |  |  |  |  |  | 6,334 us-gaap_DueFromCustomerAcceptances | 10,765 us-gaap_DueFromCustomerAcceptances |
Restricted cash | 415 us-gaap_RestrictedCashAndCashEquivalents |  |  |  | 168 us-gaap_RestrictedCashAndCashEquivalents |  |  |  |  |  |  |  | 415 us-gaap_RestrictedCashAndCashEquivalents | 168 us-gaap_RestrictedCashAndCashEquivalents |
Cost of goods and services sold, depreciation and amortization |  |  |  |  |  |  |  |  |  |  |  |  | 5,661 us-gaap_CostOfGoodsAndServicesSoldDepreciationAndAmortization | 5,088 us-gaap_CostOfGoodsAndServicesSoldDepreciationAndAmortization | 5,015 us-gaap_CostOfGoodsAndServicesSoldDepreciationAndAmortization
Weighted average useful life of acquired intangible assets |  |  |  |  |  |  |  |  |  |  |  |  | 11 years |  |
Amortization expense of acquired intangible assets |  |  |  |  |  |  |  |  |  |  |  |  | 5,528 us-gaap_AmortizationOfIntangibleAssets | 4,687 us-gaap_AmortizationOfIntangibleAssets | 3,369 us-gaap_AmortizationOfIntangibleAssets
Estimated Future Amortization Expense [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
2015 | 5,287 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths |  |  |  |  |  |  |  |  |  |  |  | 5,287 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths |  |
2016 | 4,931 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo |  |  |  |  |  |  |  |  |  |  |  | 4,931 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo |  |
2017 | 4,721 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree |  |  |  |  |  |  |  |  |  |  |  | 4,721 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree |  |
2018 | 4,525 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour |  |  |  |  |  |  |  |  |  |  |  | 4,525 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour |  |
2019 | 4,164 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive |  |  |  |  |  |  |  |  |  |  |  | 4,164 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive |  |
Thereafter | 15,226 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive |  |  |  |  |  |  |  |  |  |  |  | 15,226 us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive |  |
Minimum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired Indefinite-lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Operating cycle, annually |  |  |  |  |  |  |  |  |  |  |  |  | 364 days |  |
Operating cycle, quarterly |  |  |  |  |  |  |  |  |  |  |  |  | 91 days |  |
Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired Indefinite-lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Operating cycle, annually |  |  |  |  |  |  |  |  |  |  |  |  | 371 days |  |
Operating cycle, quarterly |  |  |  |  |  |  |  |  |  |  |  |  | 98 days |  |
Johnson tradename |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired Indefinite-lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Indefinite-lived intangible assets acquired |  |  |  |  |  |  |  |  |  |  |  |  | $ 8,100 us-gaap_IndefinitelivedIntangibleAssetsAcquired / us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TradeNamesMember | $ 8,100 us-gaap_IndefinitelivedIntangibleAssetsAcquired / us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TradeNamesMember |

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