| Document and Entity Information | Nov. 22, 2022 |
| Entity Information [Line Items] | |
| Document Type | 8-K |
| Document Period End Date | Nov. 22, 2022 |
| Entity Registrant Name | Fortress Value Acquisition Corp. III |
| Entity Incorporation, State or Country Code | DE |
| Entity File Number | 001-39839 |
| Entity Tax Identification Number | 85-2761402 |
| Entity Address, Address Line One | 1345 Avenue of the Americas |
| Entity Address, Address Line Two | 46th Floor |
| Entity Address, City or Town | New York |
| Entity Address, State or Province | NY |
| Entity Address, Postal Zip Code | 10105 |
| City Area Code | 212 |
| Local Phone Number | 798-6100 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Entity Ex Transition Period | false |
| Amendment Flag | false |
| Entity Central Index Key | 0001824434 |
| Common Class A [Member] | |
| Entity Information [Line Items] | |
| Title of 12(b) Security | Class A common stock, par value $0.0001 per share |
| Trading Symbol | FVT |
| Security Exchange Name | NYSE |
| Redeemable warrants, each whole warrant exercisable for one share of Class A common stock at an exercise price of $11.50 per share [Member] | |
| Entity Information [Line Items] | |
| Title of 12(b) Security | Redeemable warrants, each whole warrant exercisable for one share of Class A common stock at an exercise price of $11.50 per share |
| Security Exchange Name | NONE |
| No Trading Symbol Flag | true |
| Units, each consisting of one share of Class A common stock and one-fifth of one redeemable warrant [Member] | |
| Entity Information [Line Items] | |
| Title of 12(b) Security | Units, each consisting of one share of Class A common stock and one-fifth of one redeemable warrant |
| Trading Symbol | FVT.U |
| Security Exchange Name | NYSE |
