Transactions with Del Taco - Additional Information (Detail)	6 Months Ended
Jun. 30, 2015 Acquisition
Related Party Transactions [Abstract]
Number of other partnerships formed for acquisition	3

Number of other partnerships formed for acquiring real property in California for construction of restaurants for lease under long-term agreements to General Partner for operation.

No definition available.

Name:	dtrpi_NumberOfOtherPartnershipsFormedForAcquisition
Namespace Prefix:	dtrpi_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration