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Acquisitions (Details) £ / shares in Units, £ in Millions, $ in Millions |  |  | 3 Months Ended | 12 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Jan. 03, 2023 employee program | Sep. 23, 2022 employee £ / shares | Jan. 01, 2023 USD ($) | Oct. 02, 2022 USD ($) acquisition | Jan. 23, 2023 GBP (£) | Dec. 31, 2022 GBP (£) | Dec. 30, 2022 USD ($) | Dec. 28, 2022 GBP (£) | Dec. 28, 2022 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Pence per share expected to be acquired | £ / shares |  | £ 2.22 |  |  |  |  |  |  |
Number of acquisitions | acquisition |  |  |  | 4 |  |  |  |  |
Minimum |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Significant unobservable input, earn-out period |  |  | 3 years |  |  |  |  |  |
Minimum | Existing customer contracts |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful life of intangible assets |  |  | 1 year |  |  |  |  |  |
Minimum | Trade names |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful life of intangible assets |  |  | 3 years |  |  |  |  |  |
Maximum |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Significant unobservable input, earn-out period |  |  | 5 years |  |  |  |  |  |
Maximum | Existing customer contracts |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful life of intangible assets |  |  | 10 years |  |  |  |  |  |
Maximum | Trade names |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Useful life of intangible assets |  |  | 5 years |  |  |  |  |  |
RPS Group PLC |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Number of employees | employee |  | 5,000 |  |  |  |  |  |  |
RPS Group PLC | Foreign Exchange Forward |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Notional amount |  |  |  |  |  | £ 714.0 | $ 774.8 | £ 714.0 | $ 775.4
RPS Group PLC | Subsequent Event | Foreign Exchange Forward |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Notional amount | £ |  |  |  |  | £ 714.0 |  |  |  |
Amyx, Inc. | Subsequent Event |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Number of employees | employee | 500 |  |  |  |  |  |  |  |
Number of government programs acquired | program | 30 |  |  |  |  |  |  |  |
Business acquisitions |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Fair value of acquisition purchase price |  |  |  | $ 88.3 |  |  |  |  |
Aggregate maximum of contingent consideration |  |  |  | 47.0 |  |  |  |  |
Initial cash payments |  |  |  | 44.0 |  |  |  |  |
Receivables related to estimated post-closing adjustments |  |  |  | 2.5 |  |  |  |  |
Payables related to promissory note |  |  |  | 15.5 |  |  |  |  |
Contingent earn-out liability |  |  |  | $ 31.3 |  |  |  |  |
Business acquisitions | Minimum |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Earn-out period |  |  |  | 3 years |  |  |  |  |
Business acquisitions | Maximum |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Earn-out period |  |  |  | 5 years |  |  |  |  |
All acquisitions |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |
Aggregate maximum of contingent consideration |  |  | $ 120.9 |  |  |  |  |  |
Contingent earn-out liability |  |  | $ 69.0 |  |  |  |  |  |

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