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Variable interest entities (Details) - Option Contracts [Member] - USD ($) $ in Millions | Mar. 31, 2024 | Dec. 31, 2023
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Summary of Interests in Land Option Agreements [Abstract] |  |
Deposits | $ 64.8 | $ 57.1
Remaining purchase price | $ 742.6 | $ 652.1

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- Definition Amount of deposits or investments in land option contracts. + References No definition available. + Details
Name: | sdhc_VariableInterestEntityDepositsOrInvestmentsInLandOptionContracts
Namespace Prefix: | sdhc_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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

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- Definition Amount of remaining purchase price in land option contracts. + References No definition available. + Details
Name: | sdhc_VariableInterestEntityRemainingPurchasePriceInLandOptionContracts
Namespace Prefix: | sdhc_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Details
Name: | us-gaap_RealEstatePropertiesAxis=us-gaap_ConsolidatedPropertiesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |