Fair Value Measurements (Tables)

9 Months Ended

Sep. 30, 2021

Fair Value Measurements

Schedule of company's assets and liabilities that are measured at fair value on a recurring basis

	Fair Value Measured as of September 30, 2021
	Level 1		Level 2		Level 3		Total
Assets:
Investments held in Trust Account	$	414,100,847	$	—	$	—	$	414,100,847
Liabilities:
Derivative liabilities - public warrants		17,250,000		—		—		17,250,000
Derivative liabilities - private placement warrants		—		9,233,330		—		9,233,330
Derivative liabilities - forward purchase agreement		—		—		2,800,000		2,800,000
Total liabilities	$	17,250,000	$	9,233,330	$	2,800,000	$	29,283,330

	Fair Value Measured as of December 31, 2020
	Level 1		Level 2		Level 3		Total
Assets:
Investments held in Trust Account	$	414,020,525	$	—	$	—	$	414,020,525
Liabilities:
Derivative liabilities - public warrants		—		—		21,390,000		21,390,000
Derivative liabilities - private placement warrants		—		—		11,449,330		11,449,330
Derivative liabilities - forward purchase agreement		—		—		7,692,950		7,692,950
Total liabilities	$	—	$	—	$	40,532,280	$	40,532,280

Schedule of quantitative information regarding Level 3 fair value measurements inputs

	As of			As of			As of			As of
	September 30, 2021			June 30, 2021			March 31, 2021			December 31, 2020
Share price, used in warrant valuations		n/a			n/a			n/a		$	10.02
Unit price, used in forward valuation	$	10.20		$	10.04		$	10.05		$	10.54
Exercise price, warrants		n/a			n/a			n/a		$	11.50
Exercise price, forward	$	10.00		$	10.00		$	10.00		$	10.00
Term (in years), used in warrant valuations		n/a			n/a			n/a			6.00
Term (in years), used in forward valuation		0.25			0.46			0.71			0.96
Volatility		n/a			n/a			n/a			21.00	%
Risk-free interest rate, used in warrant valuations		n/a			n/a			n/a			0.50	%
Risk-free interest rate, used in forward valuation		0.04	%		0.06	%		0.06	%		0.10	%
Expected dividends		n/a			n/a			n/a			n/a

Schedule of change in the fair value of the derivative liabilities

December 31, 2020 - Beginning of Period
Warrant Liabilities - Public	$	21,390,000
Warrant Liabilities - Private		11,449,330
Forward Purchase agreement		7,692,950
December 31, 2020 total	$	40,532,280
Change in fair value of warrant liabilities – Public		(4,140,000)
Change in fair value of warrant liabilities – Private		(2,216,000)
Change in fair value of forward purchase agreement		(4,892,950)
September 30, 2021 - End of Period	$	29,283,330

Level 3 derivative liabilities at December 31, 2020	$	40,532,280
Transfers from Level 3		(32,839,330)
Change in fair value		(6,935,120)
Level 3 derivative liabilities at March 31, 2021	$	757,830
Change in fair value		(159,200)
Level 3 derivative liabilities at June 30, 2021	$	598,630
Change in fair value		2,201,370
Level 3 derivative liabilities at September 30, 2021	$	2,800,000