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Business combinations and disposals - Narrative (Details) $ in Thousands, $ in Millions, $ in Millions, ₩ in Billions |  |  |  |  |  | 11 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Aug. 21, 2020 USD ($) | Aug. 21, 2020 KRW (₩) | May 01, 2020 USD ($) | Feb. 28, 2020 USD ($) | Feb. 28, 2020 AUD ($) | Aug. 16, 2019 USD ($) | Aug. 16, 2019 CAD ($) | Nov. 16, 2018 USD ($) | Sep. 30, 2019 USD ($) | Sep. 30, 2020 USD ($) segment | Sep. 30, 2019 USD ($) | Sep. 30, 2018 USD ($) | Aug. 21, 2020 KRW (₩) | Feb. 28, 2020 AUD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amortization of intangible assets |  |  |  |  |  |  |  |  |  | $ 35,634 | $ 33,054 | $ 10,308 |  |
Goodwill |  |  |  |  |  |  |  |  | $ 584,469 | 593,129 | 584,469 | 399,882 |  |
Proceeds from sale of business |  |  |  |  |  |  |  |  |  | 3,250 | 0 | 0 |  |
Gain on sale of a business |  |  |  |  |  |  |  |  |  | $ 1,718 | 0 | 0 |  |
Number of business segments | segment |  |  |  |  |  |  |  |  |  | 3 |  |  |  |
Q2 Administrators LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of business |  |  | $ 3,100 |  |  |  |  |  |  |  |  |  |  |
Gain on sale of a business |  |  | $ 1,700 |  |  |  |  |  |  |  |  |  |  |
General Dynamics Information Technology's Citizen Engagement Centers |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  |  |  | $ 400,000 |  |  |  |  |  |
Estimated cash consideration |  |  |  |  |  |  |  | $ 430,700 |  | $ 430,723 |  |  |  |
Acquisition-related expenses |  |  |  |  |  |  |  |  |  |  | 2,700 | $ 500 |  |
Intangible assets acquired |  |  |  |  |  |  |  |  |  | 122,300 |  |  |  |
Revenue from acquisition |  |  |  |  |  |  |  |  | 615,100 |  |  |  |  |
Gross profit from acquisition |  |  |  |  |  |  |  |  | $ 117,400 |  |  |  |  |
Goodwill |  |  |  |  |  |  |  |  |  | 184,640 |  |  |  |
Intangible assets |  |  |  |  |  |  |  |  |  | 122,300 |  |  |  |
General Dynamics Information Technology's Citizen Engagement Centers | Customer relationships - all contracts except U.S. Census |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired |  |  |  |  |  |  |  |  |  | $ 85,300 |  |  |  |
Weighted average remaining life of assets not fully amortized |  |  |  |  |  |  |  |  |  | 10 years |  |  |  |
General Dynamics Information Technology's Citizen Engagement Centers | Customer relationships, U.S. decennial census |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average remaining life of assets not fully amortized |  |  |  |  |  |  |  |  |  | 7 years 7 months 6 days |  |  |  |
General Dynamics Information Technology's Citizen Engagement Centers | Customer relationship - U.S. Census |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired |  |  |  |  |  |  |  |  |  | $ 37,000 |  |  |  |
Weighted average remaining life of assets not fully amortized |  |  |  |  |  |  |  |  |  | 2 years |  |  |  |
General Dynamics Information Technology's Citizen Engagement Centers | Customer relationship - U.S. Census | Pro Forma |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amortization of intangible assets |  |  |  |  |  |  |  |  |  | $ 18,500 | 18,500 |  |  |
GT Hiring Solutions |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  | $ 6,200 | $ 8.2 |  |  |  |  |  |  |
Weighted average remaining life of assets not fully amortized |  |  |  |  |  | 7 years | 7 years |  |  |  |  |  |  |
Share capital acquired (as a percent) |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  | $ 2,100 |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  | $ 2,200 |  |  |  |  |  |  |  |
InjuryNet |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  | $ 4,400 | $ 6.7 |  |  |  |  |  |  |  |  |
Share capital acquired (as a percent) |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  | 100.00%
Goodwill |  |  |  | $ 2,600 |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  | 900 |  |  |  |  |  |  |  |  |  |
Contingent consideration |  |  |  | $ 2,100 |  |  |  |  |  |  |  |  |  | $ 3.1
Index Root |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business | $ 5,400 | ₩ 6.3 |  |  |  |  |  |  |  |  |  |  |  |
Share capital acquired (as a percent) | 100.00% |  |  |  |  |  |  |  |  |  |  |  | 100.00% |
Goodwill | $ 4,600 |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets | 1,400 |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration | $ 900 |  |  |  |  |  |  |  |  |  |  |  | ₩ 1.1 |
United Kingdom Subsidiary |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase of non-controlling interest by parent |  |  |  |  |  |  |  |  |  |  | 400 |  |  |
Saudi Arabia Subsidiary |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase of non-controlling interest by parent |  |  |  |  |  |  |  |  |  |  | $ 200 |  |  |

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