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Related Party Transactions - Additional Information (Details) - Unconsolidated joint ventures - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2019
Related Party Transaction [Line Items] |  |  |
Revenues | $ 204.7 | $ 172.2 | $ 157.3
Reimbursable cost incurred | $ 155.5 | $ 133.8 | $ 119.1

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- Definition Reimbursable cost incurred. + References No definition available. + Details
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Namespace Prefix: | psn_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Reflects the sum of all other revenue and income realized from sales and other transactions (excluding transactions that are eliminated in consolidated or combined financial statements) with related party during the period. + References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_MajorityOwnedSubsidiaryUnconsolidatedMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |