Overview and Summary of Significant Accounting Policies - Narrative (Details) $ in Millions		12 Months Ended
May 31, 2018 USD ($)	Mar. 31, 2019 segment
Business Acquisition [Line Items]
Number of reportable segments \| segment		2
Vencore and KeyPoint
Business Acquisition [Line Items]
Payments to acquire business \| $	$ 400
Shares issued in a business acquisition as a percentage of outstanding shares	14.00%

Business Acquisition, Equity Interest Issued or Issuable, Percentage Of Number of Shares Outstanding

No definition available.

Name:	prsp_BusinessAcquisitionEquityInterestIssuedorIssuablePercentageOfNumberofSharesOutstanding
Namespace Prefix:	prsp_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

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

- Definition

Number of segments reported by the entity. A reportable segment is a component of an entity for which there is an accounting requirement to report separate financial information on that component in the entity's financial statements.

+ References

No definition available.

+ Details

Name:	us-gaap_NumberOfReportableSegments
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

The cash outflow associated with the acquisition of business during the period. The cash portion only of the acquisition price.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 805
-SubTopic 30
-Section 50
-Paragraph 1
-Subparagraph (b)(1)
-URI http://asc.fasb.org/extlink&oid=35744584&loc=d3e6927-128479

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 13
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=109223946&loc=d3e3213-108585

+ Details

Name:	us-gaap_PaymentsToAcquireBusinessesGross
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Details

Name:	us-gaap_BusinessAcquisitionAxis=prsp_VencoreHoldingCorp.andKGSHoldingCorp.Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: