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Schedule III - Real Estate Properties and Accumulated Depreciation (Detail) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 651,406    
Initial Costs to Company, Land 223,789    
Initial Costs to Company, Buildings and Improvements 730,471    
Costs Capitalized Subsequent to Acquisitions, Improvements 51,387    
Gross Amount, Land 223,789    
Gross Amount, Building and Improvements 781,858    
Gross Amount, Total 1,005,647 $ 776,301 $ 589,376
Accumulated Amortization 70,484 $ 48,234 $ 39,052
AmberGlen Property [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances 20,000    
Initial Costs to Company, Land 6,546    
Initial Costs to Company, Buildings and Improvements 3,490    
Costs Capitalized Subsequent to Acquisitions, Improvements 2,050    
Gross Amount, Land 6,546    
Gross Amount, Building and Improvements 5,540    
Gross Amount, Total 12,086    
Accumulated Amortization $ 2,630    
Date Acquired 2009-12    
Depreciation Life for the Latest Income Statement 50 years    
AmberGlen Property [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1984    
AmberGlen Property [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1998    
City Center Property [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 23,417    
Initial Costs to Company, Land 3,123    
Initial Costs to Company, Buildings and Improvements 10,656    
Costs Capitalized Subsequent to Acquisitions, Improvements 8,809    
Gross Amount, Land 3,123    
Gross Amount, Building and Improvements 19,465    
Gross Amount, Total 22,588    
Accumulated Amortization $ 6,624    
Date of Construction 1984    
Date Acquired 2010-12    
Depreciation Life for the Latest Income Statement 40 years    
Central Fairwinds [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 17,882    
Initial Costs to Company, Land 1,747    
Initial Costs to Company, Buildings and Improvements 9,751    
Costs Capitalized Subsequent to Acquisitions, Improvements 6,716    
Gross Amount, Land 1,747    
Gross Amount, Building and Improvements 16,467    
Gross Amount, Total 18,214    
Accumulated Amortization $ 3,692    
Date of Construction 1982    
Date Acquired 2012-05    
Depreciation Life for the Latest Income Statement 40 years    
Cherry Creek [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 47,791    
Initial Costs to Company, Land 25,745    
Initial Costs to Company, Buildings and Improvements 20,144    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,359    
Gross Amount, Land 25,745    
Gross Amount, Building and Improvements 21,503    
Gross Amount, Total 47,248    
Accumulated Amortization $ 5,834    
Date Acquired 2014-01    
Depreciation Life for the Latest Income Statement 36 years    
Cherry Creek [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1962    
Cherry Creek [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1980    
Lake Vista Pointe [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 18,044    
Initial Costs to Company, Land 4,115    
Initial Costs to Company, Buildings and Improvements 20,600    
Costs Capitalized Subsequent to Acquisitions, Improvements 55    
Gross Amount, Land 4,115    
Gross Amount, Building and Improvements 20,655    
Gross Amount, Total 24,770    
Accumulated Amortization $ 4,220    
Date of Construction 2007    
Date Acquired 2014-07    
Depreciation Life for the Latest Income Statement 45 years    
FRP Ingenuity Drive [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 17,000    
Initial Costs to Company, Land 4,415    
Initial Costs to Company, Buildings and Improvements 17,775    
Costs Capitalized Subsequent to Acquisitions, Improvements 683    
Gross Amount, Land 4,415    
Gross Amount, Building and Improvements 18,458    
Gross Amount, Total 22,873    
Accumulated Amortization $ 2,818    
Date of Construction 1999    
Date Acquired 2014-11    
Depreciation Life for the Latest Income Statement 40 years    
Logan Tower [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 1,306    
Initial Costs to Company, Buildings and Improvements 8,197    
Costs Capitalized Subsequent to Acquisitions, Improvements 697    
Gross Amount, Land 1,306    
Gross Amount, Building and Improvements 8,894    
Gross Amount, Total 10,200    
Accumulated Amortization $ 1,354    
Date of Construction 1983    
Date Acquired 2015-02    
Depreciation Life for the Latest Income Statement 33 years    
Superior Pointe [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 3,153    
Initial Costs to Company, Buildings and Improvements 19,834    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,671    
Gross Amount, Land 3,153    
Gross Amount, Building and Improvements 21,505    
Gross Amount, Total 24,658    
Accumulated Amortization $ 2,519    
Date of Construction 2000    
Date Acquired 2015-06    
Depreciation Life for the Latest Income Statement 40 years    
DTC Crossroads [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 15,765    
Initial Costs to Company, Land 7,137    
Initial Costs to Company, Buildings and Improvements 23,184    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,006    
Gross Amount, Land 7,137    
Gross Amount, Building and Improvements 24,190    
Gross Amount, Total 31,327    
Accumulated Amortization $ 2,968    
Date of Construction 1999    
Date Acquired 2015-06    
Depreciation Life for the Latest Income Statement 33 years    
190 Office Center [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 41,250    
Initial Costs to Company, Land 7,162    
Initial Costs to Company, Buildings and Improvements 39,690    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,005    
Gross Amount, Land 7,162    
Gross Amount, Building and Improvements 40,695    
Gross Amount, Total 47,857    
Accumulated Amortization $ 3,825    
Date of Construction 2001    
Date Acquired 2015-09    
Depreciation Life for the Latest Income Statement 45 years    
Intellicenter [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 33,481    
Initial Costs to Company, Land 5,244    
Initial Costs to Company, Buildings and Improvements 34,278    
Costs Capitalized Subsequent to Acquisitions, Improvements 26    
Gross Amount, Land 5,244    
Gross Amount, Building and Improvements 34,304    
Gross Amount, Total 39,548    
Accumulated Amortization $ 3,673    
Date of Construction 2008    
Date Acquired 2015-09    
Depreciation Life for the Latest Income Statement 50 years    
Carillon Point [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 16,330    
Initial Costs to Company, Land 5,172    
Initial Costs to Company, Buildings and Improvements 17,316    
Costs Capitalized Subsequent to Acquisitions, Improvements 68    
Gross Amount, Land 5,172    
Gross Amount, Building and Improvements 17,384    
Gross Amount, Total 22,556    
Accumulated Amortization $ 2,252    
Date of Construction 2007    
Date Acquired 2016-06    
Depreciation Life for the Latest Income Statement 39 years    
FRP Collection [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 29,589    
Initial Costs to Company, Land 7,031    
Initial Costs to Company, Buildings and Improvements 38,700    
Costs Capitalized Subsequent to Acquisitions, Improvements 993    
Gross Amount, Land 7,031    
Gross Amount, Building and Improvements 39,693    
Gross Amount, Total 46,724    
Accumulated Amortization $ 4,180    
Date Acquired 2016-07    
Depreciation Life for the Latest Income Statement 40 years    
FRP Collection [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1986    
FRP Collection [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1999    
Park Tower [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 3,479    
Initial Costs to Company, Buildings and Improvements 68,656    
Costs Capitalized Subsequent to Acquisitions, Improvements 13,987    
Gross Amount, Land 3,479    
Gross Amount, Building and Improvements 82,643    
Gross Amount, Total 86,122    
Accumulated Amortization $ 6,146    
Date of Construction 1973    
Date Acquired 2016-11    
Depreciation Life for the Latest Income Statement 30 years    
5090 N 40th St [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 22,000    
Initial Costs to Company, Land 6,696    
Initial Costs to Company, Buildings and Improvements 32,123    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,144    
Gross Amount, Land 6,696    
Gross Amount, Building and Improvements 33,267    
Gross Amount, Total 39,963    
Accumulated Amortization $ 1,973    
Date of Construction 1988    
Date Acquired 2016-11    
Depreciation Life for the Latest Income Statement 45 years    
SanTan [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 34,682    
Initial Costs to Company, Land 6,803    
Initial Costs to Company, Buildings and Improvements 37,187    
Costs Capitalized Subsequent to Acquisitions, Improvements 4,448    
Gross Amount, Land 6,803    
Gross Amount, Building and Improvements 41,635    
Gross Amount, Total 48,438    
Accumulated Amortization $ 3,270    
Date Acquired 2016-12    
Depreciation Life for the Latest Income Statement 41 years    
SanTan [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2000    
SanTan [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2003    
2525 McKinnon [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 27,000    
Initial Costs to Company, Land 10,629    
Initial Costs to Company, Buildings and Improvements 34,515    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,134    
Gross Amount, Land 10,629    
Gross Amount, Building and Improvements 35,649    
Gross Amount, Total 46,278    
Accumulated Amortization $ 1,928    
Date of Construction 2003    
Date Acquired 2017-01    
Depreciation Life for the Latest Income Statement 50 years    
Mission City [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 47,000    
Initial Costs to Company, Land 25,741    
Initial Costs to Company, Buildings and Improvements 41,474    
Costs Capitalized Subsequent to Acquisitions, Improvements 2,949    
Gross Amount, Land 25,741    
Gross Amount, Building and Improvements 44,423    
Gross Amount, Total 70,164    
Accumulated Amortization $ 3,322    
Date Acquired 2017-09    
Depreciation Life for the Latest Income Statement 29 years    
Mission City [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1990    
Mission City [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2007    
Sorrento Mesa [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 40,356    
Initial Costs to Company, Buildings and Improvements 44,991    
Costs Capitalized Subsequent to Acquisitions, Improvements 1,374    
Gross Amount, Land 40,356    
Gross Amount, Building and Improvements 46,365    
Gross Amount, Total 86,721    
Accumulated Amortization $ 2,764    
Date Acquired 2017-09    
Depreciation Life for the Latest Income Statement 33 years    
Sorrento Mesa [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1985    
Sorrento Mesa [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2001    
Papago Tech [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 10,746    
Initial Costs to Company, Buildings and Improvements 19,762    
Costs Capitalized Subsequent to Acquisitions, Improvements 295    
Gross Amount, Land 10,746    
Gross Amount, Building and Improvements 20,057    
Gross Amount, Total 30,803    
Accumulated Amortization $ 1,237    
Date Acquired 2017-10    
Depreciation Life for the Latest Income Statement 40 years    
Papago Tech [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1993    
Papago Tech [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 1995    
Pima Center [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Buildings and Improvements $ 45,133    
Costs Capitalized Subsequent to Acquisitions, Improvements 222    
Gross Amount, Building and Improvements 45,355    
Gross Amount, Total 45,355    
Accumulated Amortization $ 1,529    
Date Acquired 2018-04    
Depreciation Life for the Latest Income Statement 44 years    
Pima Center [Member] | Minimum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2006    
Pima Center [Member] | Maximum [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Date of Construction 2008    
Circle Point [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 39,650    
Initial Costs to Company, Land 13,681    
Initial Costs to Company, Buildings and Improvements 39,101    
Costs Capitalized Subsequent to Acquisitions, Improvements 714    
Gross Amount, Land 13,681    
Gross Amount, Building and Improvements 39,815    
Gross Amount, Total 53,496    
Accumulated Amortization $ 1,009    
Date of Construction 2001    
Date Acquired 2018-07    
Depreciation Life for the Latest Income Statement 40 years    
The Quad [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 30,600    
Initial Costs to Company, Land 8,079    
Initial Costs to Company, Buildings and Improvements 39,858    
Costs Capitalized Subsequent to Acquisitions, Improvements (18)    
Gross Amount, Land 8,079    
Gross Amount, Building and Improvements 39,840    
Gross Amount, Total 47,919    
Accumulated Amortization $ 616    
Date of Construction 1982    
Date Acquired 2018-07    
Depreciation Life for the Latest Income Statement 40 years    
Greenwood Blvd [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 22,425    
Initial Costs to Company, Land 3,945    
Initial Costs to Company, Buildings and Improvements 26,019    
Gross Amount, Land 3,945    
Gross Amount, Building and Improvements 26,019    
Gross Amount, Total 29,964    
Accumulated Amortization $ 12    
Date of Construction 1997    
Date Acquired 2018-12    
Depreciation Life for the Latest Income Statement 45 years    
Camelback Square [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Initial Costs to Company, Land $ 11,738    
Initial Costs to Company, Buildings and Improvements 37,922    
Gross Amount, Land 11,738    
Gross Amount, Building and Improvements 37,922    
Gross Amount, Total 49,660    
Accumulated Amortization $ 17    
Date of Construction 1978    
Date Acquired 2018-12    
Depreciation Life for the Latest Income Statement 48 years    
Corporate [Member]      
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]      
Encumbrances $ 147,500    
Initial Costs to Company, Buildings and Improvements 115    
Gross Amount, Building and Improvements 115    
Gross Amount, Total 115    
Accumulated Amortization $ 72