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

X

- 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

X

- References

No definition available.

+ Details

Name:	sdhc_VariableInterestEntityInterestsInLandOptionAgreementsAbstract
Namespace Prefix:	sdhc_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- 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

X

- Details

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