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Investments in Joint Ventures at December 31, 2021 (Details) - USD ($)
$ in Thousands
Sep. 30, 2022
Dec. 31, 2021
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net $ 533,996 $ 472,317
Cash and cash equivalents 9,441 2,987
Unrealized rents & receivables 6,964 4,342
Deferred costs 2,022 898
   Total Assets 676,990 678,190
Secured notes payable 298,104 222,635
Other liabilities 15,750 28,253
Capital - Third Parties 398,234 396,423
   Total Liabilities and Capital 676,990 678,190
Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets 552,423 480,544
Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP 138,998 139,981
Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties 99,571 89,675
Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital 552,423 480,544
Brooksville Quarry L L C [Member]    
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net 14,307 14,281
Cash and cash equivalents 169 18
Unrealized rents & receivables 0 0
Deferred costs 2 2
Secured notes payable 0 0
Other liabilities 85 0
Brooksville Quarry L L C [Member] | Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets 14,478 14,301
Brooksville Quarry L L C [Member] | Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP 7,532 7,488
Brooksville Quarry L L C [Member] | Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties 6,861 6,813
Brooksville Quarry L L C [Member] | Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital 14,478 14,301
B C F R P Realty L L C [Member]    
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net 21,185 21,561
Cash and cash equivalents 208 312
Unrealized rents & receivables 433 368
Deferred costs 262 229
Secured notes payable 11,184 11,384
Other liabilities 142 140
B C F R P Realty L L C [Member] | Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets 22,088 22,470
B C F R P Realty L L C [Member] | Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP 5,381 5,473
B C F R P Realty L L C [Member] | Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties 5,381 5,473
B C F R P Realty L L C [Member] | Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital 22,088 22,470
Aberdeen Station [Member]    
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net   514
Cash and cash equivalents   0
Unrealized rents & receivables   0
Deferred costs   0
Secured notes payable   0
Other liabilities   0
Aberdeen Station [Member] | Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets   514
Aberdeen Station [Member] | Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP   514
Aberdeen Station [Member] | Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties   0
Aberdeen Station [Member] | Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital   514
Amber Ridge Loan [Member]    
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net   11,466
Cash and cash equivalents   0
Unrealized rents & receivables   0
Deferred costs   0
Secured notes payable   0
Other liabilities   0
Amber Ridge Loan [Member] | Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets   11,466
Amber Ridge Loan [Member] | Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP   11,466
Amber Ridge Loan [Member] | Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties   0
Amber Ridge Loan [Member] | Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital   11,466
Apartment Mixed Use [Member]    
Schedule of Equity Method Investments [Line Items]    
Investments in real estate, net 460,659 424,495
Cash and cash equivalents 3,190 2,657
Unrealized rents & receivables 6,531 3,974
Deferred costs 1,598 667
Secured notes payable 282,104 211,251
Other liabilities 15,523 28,113
Apartment Mixed Use [Member] | Real Estate Total Assets [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Assets 471,978 431,793
Apartment Mixed Use [Member] | Real Estate Partnership F R P [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - FRP 105,922 115,040
Apartment Mixed Use [Member] | Real Estate Partnership Third Parties [Member]    
Schedule of Equity Method Investments [Line Items]    
Capital - Third Parties 68,429 77,389
Apartment Mixed Use [Member] | Real Estate Partnership Total Liabilities And Capital [Member]    
Schedule of Equity Method Investments [Line Items]    
   Total Liabilities and Capital $ 471,978 $ 431,793