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Fair Value Measurements (Tables)
9 Months Ended
Sep. 30, 2021
Fair Value Disclosures [Abstract]  
Summary of Assets That are Measured at Fair Value on a Recurring Basis
The following table presents information about the Company’s assets that are measured at fair value on a recurring basis at September 30, 2021, including the fair value hierarchy of the valuation inputs the Company utilized to determine such fair value.
DescriptionLevelSeptember 30, 2021
Assets:   
Marketable securities held in Trust Account1 $416,354,760 
Liabilities:   
Derivative liability – Class K Founder Shares3 $10,300,000 
Fair Value Measurement Inputs and Valuation Techniques
The key inputs into the Monte-Carlo simulation model for Class K common stock were as follows as of the issuance date and as of June 30, 2021:
InputJanuary 29, 2021
(Inception)
June 30, 2021
Risk-free interest rate
1.16 %1.48 %
Term to business combination
0.9 years0.5 years
Expected volatility
21.0 %15.0 %
Stock Price
$10.00 $9.94 
The key inputs into the Monte-Carlo simulation model for Class K Founder Shares derivative liabilities were as follows as of the issuance date and as of September 30, 2021:
InputJanuary 29, 2021 (Inception)  September 30, 2021
Risk-free interest rate1.16 %1.53 %
Term to business combination0.9 years 0.3 years
Expected volatility21.00 %12.50 %
Stock price$10.00  $10.18 
Dividend yield0.00 % 0.00 %
Summary of Changes in the Fair Value Of the Class K Founder Shares Liability
The following table presents a summary of the changes in the fair value of the Class K Founder Shares derivative liabilities, a Level 3 liability, measured on a recurring basis, as of September 30, 2021:
Class K Founder Shares
 Derivative Liabilities
Initial measurement on January 29, 2021$36,550,000 
Change in fair value of Class K Founder Shares Derivative Liabilities(22,950,000)
Fair Value, March 31, 2021 (unaudited)$13,600,000 
Change in fair value of Class K Founder Shares Derivative Liabilities2,950,000 
Fair Value, June 30, 2021 (audited)$16,550,000 
Change in fair value of Class K Founder Shares Derivative Liabilities(6,250,000)
Fair Value, September 30, 2021 (unaudited)$10,300,000