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Document and Entity Information - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Feb. 27, 2023
Jun. 30, 2022
Document and Entity Information      
Document Type 10-K    
Document Annual Report true    
Document Period End Date Dec. 31, 2022    
Document Transition Report false    
Entity File Number 001-41013    
Entity Registrant Name Concord Acquisition Corp III    
Entity Incorporation, State or Country Code DE    
Entity Tax Identification Number 86-2171699    
Entity Address, Address Line One 477 Madison Avenue    
Entity Address, City or Town New York    
Entity Address State Or Province NY    
Entity Address, Postal Zip Code 10022    
City Area Code 212    
Local Phone Number 883-4330    
Entity Well-known Seasoned Issuer No    
Entity Voluntary Filers No    
Entity Current Reporting Status Yes    
Entity Interactive Data Current Yes    
Entity Filer Category Non-accelerated Filer    
Entity Small Business true    
Entity Emerging Growth Company true    
Entity Ex Transition Period false    
ICFR Auditor Attestation Flag false    
Entity Shell Company true    
Entity Central Index Key 0001851961    
Current Fiscal Year End Date --12-31    
Document Fiscal Year Focus 2022    
Document Fiscal Period Focus FY    
Amendment Flag false    
Transition Report false    
Entity Public Float     $ 348.7
Auditor Name Marcum LLP    
Auditor Firm ID 688    
Auditor Location Philadelphia, Pennsylvania    
Class A common stock      
Document and Entity Information      
Title of 12(b) Security Class A common stock, $0.0001 par value per share    
Trading Symbol CNDB    
Security Exchange Name NYSE    
Entity Common Stock, Shares Outstanding   34,500,000  
Warrants to purchase one share of common stock      
Document and Entity Information      
Title of 12(b) Security Warrants to purchase one share of common stock    
Trading Symbol CNDB.WS    
Security Exchange Name NYSE    
Units, each consisting of one share of common stock and one-half of one redeemable warrant      
Document and Entity Information      
Title of 12(b) Security Units, each consisting of one share of common    
Trading Symbol CNDB.U    
Security Exchange Name NYSE    
Class B common stock      
Document and Entity Information      
Entity Common Stock, Shares Outstanding   8,625,000