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Contracts with Customers - Additional Information (Details) - USD ($) | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Revenue From Contract With Customer [Abstract] |  |
Revenue recognized included contract liability | $ 102,500,000 | $ 137,400,000
Impairment of contract assets | 0 | $ 0
Impact of changes in estimated claims or incentives on revenue | 5,000,000 |
Remaining unsatisfied performance obligations | $ 5,800,000,000 |

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- Definition Contract with customer adjustment to revenue impact of changes in estimated claims or incentives over threshold. + References No definition available. + Details
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Namespace Prefix: | psn_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Amount of impairment loss for asset recognized from cost incurred to obtain or fulfill contract with customer. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 340 -SubTopic 40 -Section 50 -Paragraph 3 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123353750&loc=SL49131252-203054 + Details
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Balance Type: | debit
Period Type: | duration

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- Definition Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123351226&loc=SL49130549-203045 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- References No definition available. + Details
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- Definition Amount of transaction price allocated to performance obligation that has not been recognized as revenue. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 13 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=123351226&loc=SL49130556-203045 + Details
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Period Type: | instant