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Debt - Summary of Outstanding Indebtedness (Parenthetical) (Detail) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2023
Aug. 16, 2023
May 15, 2023
Mar. 08, 2023
Feb. 09, 2023
Jan. 06, 2023
Jan. 05, 2023
Dec. 31, 2022
Debt Instrument [Line Items]                
Derivative, Notional Amount $ 255,711              
Interest Rate Swap [Member]                
Debt Instrument [Line Items]                
Derivative, Notional Amount   $ 26,300     $ 140,000 $ 50,000 $ 25,000  
Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Interest Rate Swap [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Derivative, Fixed Interest Rate           1.17%    
Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Interest Rate Swap [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Derivative, Fixed Interest Rate             3.90%  
Unsecured Debt [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 1.35%              
Term loan             $ 50,000  
Unsecured Debt [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Term loan             25,000  
Unsecured Debt [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Term loan             50,000  
Unsecured Debt [Member] | Margin [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 210.00%              
Unsecured Debt [Member] | Minimum [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 135.00%              
Unsecured Debt [Member] | Maximum [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 225.00%              
190 Office Center [Member] | Secured Debt [Member] | Variable Interest Entity, Not Primary Beneficiary [Member]                
Debt Instrument [Line Items]                
Mortgage loan deconsolidated in the period     $ 38,600          
SanTan [Member] | Debt Service Coverage Ratio [Member] | Debt Yield [Member]                
Debt Instrument [Line Items]                
Restricted Cash $ 4,600              
FRP Collection [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Interest Rate Swap [Member]                
Debt Instrument [Line Items]                
Derivative, Fixed Interest Rate   4.30%            
FRP Collection [Member] | Secured Debt [Member] | Margin [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 275.00%              
Carillon Point [Member] | Interest Rate Swap [Member]                
Debt Instrument [Line Items]                
Derivative, Notional Amount   $ 14,500            
Carillon Point [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Interest Rate Swap [Member]                
Debt Instrument [Line Items]                
Derivative, Fixed Interest Rate   4.30%            
Carillon Point [Member] | Secured Debt [Member] | Margin [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 275.00%              
Canyon Park [Member] | Secured Debt [Member] | Minimum [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 200.00%              
Canyon Park [Member] | Secured Debt [Member] | Maximum [Member]                
Debt Instrument [Line Items]                
Interest Rate, Description 450.00%              
Cascade Station [Member]                
Debt Instrument [Line Items]                
Restricted Cash $ 1,900              
FRP Ingenuity Drive [Member] | Debt Service Coverage Ratio [Member]                
Debt Instrument [Line Items]                
Restricted Cash 3,200             $ 2,600
Credit Facility [Member]                
Debt Instrument [Line Items]                
Revolving Credit Facility, outstanding         $ 140,000      
Credit Facility [Member] | Letter of Credit [Member]                
Debt Instrument [Line Items]                
Revolving Credit Facility, outstanding 4,200              
Credit Facility [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Interest Rate Swap [Member]                
Debt Instrument [Line Items]                
Derivative, Fixed Interest Rate       4.19%        
Credit Facility [Member] | Unsecured Debt [Member]                
Debt Instrument [Line Items]                
Revolving Credit Facility, outstanding $ 200,000              
Interest Rate, Description 1.50%              
Credit Facility [Member] | Unsecured Debt [Member] | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member] | Term loan [Member]                
Debt Instrument [Line Items]                
One month SOFR rate 5.31%              
Credit Facility [Member] | Unsecured Debt [Member] | Minimum [Member]                
Debt Instrument [Line Items]                
Revolving Credit Facility, authorized amount             350,000  
Interest Rate, Description 135.00%              
Fixed charge coverage ratio 1.50%              
Credit Facility [Member] | Unsecured Debt [Member] | Maximum [Member]                
Debt Instrument [Line Items]                
Revolving Credit Facility, authorized amount             $ 375,000  
Interest Rate, Description 235.00%