Revenue Recognition - Narrative (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended		4 Months Ended	9 Months Ended
	Dec. 28, 2021	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2022	Jan. 31, 2022	Jan. 31, 2021	Sep. 30, 2021
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Previously deferred revenue recognized		$ 300	$ 1,400		$ 4,000	$ 4,500
Unsatisfied performance obligation, amount		65,600		$ 65,600	65,600
Previously satisfied performance obligation, amount					17,100
Total revenue		31,800	$ 13,458		68,951	38,947
Number of shares called by warrant (in shares)	4,080,000
Exercise of warrants, price per share (in US dollars per share)	$ 10.74
Exercise period of warrant (in years)	7 years
Number of shares vested upon warrant exercise (in shares)	40,000
Maximum aggregate payments over contract term	$ 201,000
Grant date fair value of warrant (in US dollars per share)	$ 4.65
Warrant contra revenue		400			407	$ 0
IP Licensing and Development Contract Customer
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, remaining performance obligation, amount							$ 43,500
Billed revenue from contract with customer		$ 10,900		10,900	$ 10,900
Total revenue				$ 5,700
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-02-01
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, remaining performance obligation, period		3 years		3 years	3 years
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-10-01 | IP Licensing and Development Contract Customer
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, remaining performance obligation, period							3 years