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Employee Benefit Plans - Fair Value of Plan Assets (Details) (Pension benefits, USD $) In Thousands, unless otherwise specified	Jan. 03, 2015	Dec. 28, 2013
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	$ 28,986kai_PensionPlanAssetsFairValueDisclosure	$ 26,056kai_PensionPlanAssetsFairValueDisclosure
Level 1
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	20,272kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member	18,396kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member
Level 2
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	8,714kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member	7,660kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member
Level 3
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member
U.S. Equity
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	3,465kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember	3,205kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember
U.S. Equity | Level 1
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	3,465kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member	3,205kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member
U.S. Equity | Level 2
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member
U.S. Equity | Level 3
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_USEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member
International Equity
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	819kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember	817kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember
International Equity | Level 1
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	819kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member	817kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member
International Equity | Level 2
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member
International Equity | Level 3
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member	0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = kai_InternationalEquityMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member
Fixed Income Funds
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	24,702kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember	22,034kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember
Fixed Income Funds | Level 1
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	15,988kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member	14,374kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel1Member
Fixed Income Funds | Level 2
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	8,714kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member	7,660kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member
Fixed Income Funds | Level 3
Defined Benefit Plan Disclosure [Line Items]
Pension plan assets, fair value disclosure	$ 0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member	$ 0kai_PensionPlanAssetsFairValueDisclosure / us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis = us-gaap_FixedIncomeFundsMember / us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis = us-gaap_PensionPlansDefinedBenefitMember / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel3Member

X

- Definition

Assets, usually stocks, bonds, and other investments, that have been segregated and restricted (usually in a trust) to provide benefits, at their fair value as of the measurement date. Plan assets include amounts contributed by the employer (and by employees for a contributory plan) and amounts earned from investing the contributions, less benefits paid. If a plan has liabilities other than for benefits, those non-benefit obligations may be considered as reductions of plan assets.

+ References

No definition available.

+ Details

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X

- Details

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