Income Taxes (Details)	Mar. 31, 2024
Income Tax Disclosure [Abstract]
Percent of REIT taxable income the entity intends to distribute	100.00%

Percent of REIT taxable income the entity currently intends to distribute to stockholders.

No definition available.

Name:	two_PercentofREITTaxableIncometoDistribute
Namespace Prefix:	two_
Data Type:	dtr-types1:percentItemType
Balance Type:	na
Period Type:	instant