Fair Value Measurements (Tables)

12 Months Ended

Dec. 31, 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 December 31, 2021
	Level 1		Level 2		Level 3		Total
Assets:
Cash and Investments held in Trust Account	$	414,111,439	$	—	$	—	$	414,111,439
Liabilities:
Derivative liabilities - public warrants		14,076,000		—		—		14,076,000
Derivative liabilities - private placement warrants		—		7,534,400		—		7,534,400
Derivative liabilities - forward purchase agreement		—		—		2,820,000		2,820,000
Total liabilities	$	14,076,000	$	7,534,400	$	2,820,000	$	24,430,400

	Fair Value Measured as of December 31, 2020
	Level 1		Level 2		Level 3		Total
Assets:
Cash and 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 key assumptions used of estimate the fair value

	As of			As of
	December 31,			December 31,
	2021			2022
Share price, used in warrant valuations	$	10.02			n/a
Unit price, used in forward valuation	$	10.54		$	10.20
Exercise price, warrants	$	11.50			n/a
Exercise price, forward	$	10.00		$	10.00
Term (in years), used in warrant valuations		6.00			n/a
Term (in years), used in forward valuation		0.96			0.25
Volatility		21.00	%		15.5	%
Risk-free interest rate, used in warrant valuations		0.50	%		n/a
Risk-free interest rate, used in forward valuation		0.10	%		1.28	%
Expected dividends		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	$	40,532,280
Change in fair value of warrant liabilities - Public		(7,314,000)
Change in fair value of warrant liabilities - Private		(3,914,930)
Change in fair value of forward purchase agreement		(4,872,950)
December 31, 2021	$	24,430,400

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
Change in fair value		20,000
Level 3 derivative liabilities at December 31, 2021	$	2,820,000