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Retirement Savings Plan (Details) - USD ($) $ in Millions |  | 12 Months Ended
--- | --- | ---
Jan. 01, 2019 | Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Retirement Benefits [Abstract] |  |  |  |
Employer contribution matching percentage | 3.00% |  |  |
Employee vesting period in the retirement saving plan | 2 years |  |  |
Company defined contribution plan |  | $ 1.0 | $ 1.0 | $ 1.0

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- Definition Vesting Period of Employer Contributions + References No definition available. + Details
Name: | cuz_VestingPeriodOfEmployerContributions
Namespace Prefix: | cuz_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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

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- Definition Amount of discretionary contributions made by an employer to a defined contribution plan. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Percentage employer matches of the employee's percentage contribution matched. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration