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Financing Arrangements - Additional Information (Details)
1 Months Ended 12 Months Ended
May 31, 2021
USD ($)
shares
Mar. 31, 2021
USD ($)
shares
Feb. 29, 2020
USD ($)
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Oct. 31, 2019
USD ($)
Aug. 31, 2019
USD ($)
Jun. 30, 2019
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Nov. 30, 2018
USD ($)
Oct. 31, 2016
USD ($)
Oct. 31, 2021
USD ($)
Jan. 31, 2021
USD ($)
Jan. 31, 2020
USD ($)
Sep. 30, 2021
shares
May 01, 2021
USD ($)
Dec. 31, 2020
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Feb. 28, 2020
USD ($)
Feb. 01, 2020
Jan. 31, 2019
USD ($)
Common Class A [Member]                                  
Number of securities called by each warrant or right | shares                       1   1      
Tranche B [Member] | Venture Capital [Member] | Loan And Security Agreement [Member]                                  
Line of credit facility, maximum borrowing capacity                         $ 27,000,000.0        
Rigetti Holdings [Member]                                  
Number of securities called by each warrant or right | shares 995,099 398,040                              
Rigetti Holdings [Member] | Convertible Debt [Member]                                  
Debt instrument measurement input     10.0                            
Gain loss due to change in fair value of convertible debt                     $ 5,191,117            
Rigetti Holdings [Member] | Convertible Debt [Member] | Modification Of The Terms Of Debt [Member]                                  
Carrying value of convertible notes based on fair value option                             $ 27,767,399    
Gain loss on extinguishment of debt                   $ 8,711,559              
Rigetti Holdings [Member] | Convertible Debt [Member] | Modification Of The Terms Of Debt [Member] | Common Class A [Member]                                  
Debt instrument number of shares issued upon conversion | shares     6,874,309                            
Rigetti Holdings [Member] | Convertible Debt [Member] | Series C Redeemable Convertible Preferred Stock [Member]                                  
Convertible debt number of shares issuable upon conversion | shares     6,766,614                            
Rigetti Holdings [Member] | Convertible Debt [Member] | Series C One Redeemable Convertible Preferred Stock [Member]                                  
Convertible debt number of shares issuable upon conversion | shares     16,939,143                            
Rigetti Holdings [Member] | Convertible Debt [Member] | Series C And C One Redeemable Convertible Preferred Stock [Member] | Modification Of The Terms Of Debt [Member]                                  
Debt instrument fair value of shares to be issued upon conversion                             $ 17,612,235    
Rigetti Holdings [Member] | Simple Agreements For Future Equity [Member]                                  
Proceeds from other long term debt       $ 1,500,000                          
Long term debt fixed interest rate percentage                     6.00%            
Debt instrument conversion price percentage                     80.00%            
Debt instrument base amount used for calculating amount payable on conversion                     $ 300,000,000            
Debt instrument measurement input                     10.0            
Fair value option changes in fair value gain loss                     $ 382,397            
Rigetti Holdings [Member] | Simple Agreements For Future Equity [Member] | Modification Of The Terms Of Debt [Member]                                  
Carrying value of convertible notes based on fair value option                     1,822,397            
Gain loss on extinguishment of debt                     691,867            
Rigetti Holdings [Member] | Loan And Security Agreement [Member] | Non Revolving Term Loan [Member]                                  
Proceeds from other long term debt               $ 6,000,000                  
Repayment of other long term debt                     2,839,261            
Long term debt fixed interest rate percentage               9.00%                  
Rigetti Holdings [Member] | Two Thousand And Eighteen Promissory Notes Agreement [Member] | Convertible Debt [Member]                                  
Long term debt fixed interest rate percentage                                 4.00%
Proceeds from convertible debt             $ 1,500,000                    
Long term debt maturity date                                 Nov. 26, 2020
Rigetti Holdings [Member] | Two Thousand And Eighteen Promissory Notes Agreement [Member] | Convertible Debt [Member] | Optionally Convertible Upon A Non Qualified Financing Event [Member]                                  
Debt instrument conversion price percentage                                 85.00%
Debt instrument base amount used for calculating amount payable on conversion                                 $ 600,000,000
Rigetti Holdings [Member] | Two Thousand And Eighteen Promissory Notes Agreement [Member] | Convertible Debt [Member] | Convertible Upon Occurrence Of Change Of Control [Member]                                  
Debt instrument conversion price percentage                                 85.00%
Debt instrument base amount used for calculating amount payable on conversion                                 $ 600,000,000
Rigetti Holdings [Member] | Two Thousand And Nineteen Promissory Notes Agreement [Member] | Convertible Debt [Member]                                  
Long term debt fixed interest rate percentage                                 6.00%
Proceeds from convertible debt         $ 250,000 $ 19,700,000                      
Long term debt maturity date                                 Dec. 11, 2020
Rigetti Holdings [Member] | Two Thousand And Nineteen Promissory Notes Agreement [Member] | Convertible Debt [Member] | Optionally Convertible Upon A Non Qualified Financing Event [Member]                                  
Debt instrument conversion price percentage                                 80.00%
Debt instrument base amount used for calculating amount payable on conversion                                 $ 300,000,000
Rigetti Holdings [Member] | Two Thousand And Nineteen Promissory Notes Agreement [Member] | Convertible Debt [Member] | Convertible Upon Occurrence Of Change Of Control [Member]                                  
Debt instrument conversion price percentage                                 80.00%
Debt instrument base amount used for calculating amount payable on conversion                                 $ 300,000,000
Rigetti Holdings [Member] | Two Thousand And Twenty Promissory Notes Agreement [Member] | Convertible Debt [Member]                                  
Long term debt fixed interest rate percentage                           6.00%      
Long term debt maturity date                               Dec. 11, 2020  
Gain loss on extinguishment of debt                     $ 489,894            
Rigetti Holdings [Member] | Two Thousand And Twenty Promissory Notes Agreement [Member] | Convertible Debt [Member] | Warrants To Purchase Class A Common Stock [Member]                                  
Debt instrument number of warrants issued on conversion | shares     310,937                            
Warrants not settleable in cash fair value disclosure     $ 62,187                            
Rigetti Holdings [Member] | Two Thousand And Twenty Promissory Notes Agreement [Member] | Convertible Debt [Member] | Common Class A [Member]                                  
Debt instrument number of shares issued upon conversion | shares     2,036,617                            
Equity as a result of debt conversion fair value     $ 427,690                            
Rigetti Holdings [Member] | Two Thousand And Twenty Promissory Notes Agreement [Member] | Convertible Debt [Member] | Series C Redeemable Convertible Preferred Stock [Member]                                  
Debt instrument number of shares issued upon conversion | shares     2,426,113                            
Redeemable non controlling interest equity preferred fair value     $ 2,200,017                            
Rigetti Holdings [Member] | Two Thousand And Twenty Promissory Notes Agreement [Member] | Convertible Debt [Member] | Convertible Upon Occurrence Of Change Of Control [Member]                                  
Debt instrument conversion price percentage                               80.00%  
Rigetti Holdings [Member] | Tranche A [Member] | Venture Capital [Member] | Loan And Security Agreement [Member]                                  
Line of credit facility, maximum borrowing capacity   $ 12,000,000                              
Line of credit facility, expiration period   48 months                              
Debt issuance costs, net   $ 1,237,482                              
Rigetti Holdings [Member] | Tranche B [Member] | Venture Capital [Member] | Loan And Security Agreement [Member]                                  
Line of credit facility, maximum borrowing capacity $ 15,000,000                                
Line of credit facility, expiration period 48 months                                
Line of credit facility, current borrowing capacity $ 8,000,000                                
Line of credit facility, remaining borrowing capacity 7,000,000                                
Withdrawn credit facility $ 7,000,000                                
Number of securities called by each warrant or right | shares 995,099                                
Line of credit facility, interest rate at period end 11.00%                                
Line of credit facility, final payment fee percentage 2.75%                                
Interest expense                 $ 1,597,744                
Unamortized debt issuance expense                 $ 88,727