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Contingencies - Additional Information (Details)	9 Months Ended
	Sep. 30, 2022 Claim
Commitments And Contingencies Disclosure [Abstract]
Number of claims outstanding	0

X

- Definition

Loss contingency, number of claims.

+ References

No definition available.

+ Details

Name:	psn_LossContingencyNumberOfClaims
Namespace Prefix:	psn_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration