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Pay vs Performance Disclosure - USD ($)
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Pay vs Performance Disclosure      
Pay vs Performance Disclosure, Table
Avg. Summary Compensation Table Total for Non-PEO NEOs(1)
($)
Avg. Compensation Actually Paid to Non-PEO NEOs(1)(3)
($)
Value of Initial Fixed $100 Investment Based On:
Year
Summary Compensation Table Total
for PEO(1)
($)
Compensation Actually Paid
to PEO(1)(2)
($)
Total Shareholder Return (4)
($)
Peer Group Total Shareholder Return(4)
($)
Net Income
($, in millions)
Adjusted EPS (5)
($)
(a)(b)(c)(d)(e)(f)(g)(h)(i)
20237,349,940 9,425,799 1,836,998 2,177,700 114 171 161.8 3.83 
20226,286,385 808,795 1,525,980 510,074 87 148 203.8 4.37 
20217,906,006 10,682,785 2,136,923 2,779,404 123 144 291.2 5.19 
    
Company Selected Measure Name Adjusted EPS    
Named Executive Officers, Footnote
202120222023
PEOBruce CaswellBruce CaswellBruce Caswell
NEORichard NadeauRichard NadeauDavid Mutryn
NEOIlene BaylinsonDavid MutrynIlene Baylinson
NEOThomas RomeoTeresa WeipertTeresa Weipert
NEODavid FrancisDavid FrancisDavid Francis
NEOMichelle Link
    
Peer Group Issuers, Footnote Reflects the cumulative TSR of the Company and the for the year ended September 30, 2020, the two years ended September 30th, 2021, and the three years ended September 30th, 2022, assuming a $100 investment at the closing price of September 30th, 2019 and
the reinvestment of all dividends. The Peer Group TSR represents TSR of the Company's peer group using the same peer group included in the Company's stock performance graph in Item 5 of the Annual Report on Form 10-K for fiscal year 2023. The peer group was composed of Booz Allen Hamilton Holding Corp., CACI International Inc., Conduent, Inc., ICF International, Inc., Leidos Inc., and Science Applications International Corporation (SAIC).
    
PEO Total Compensation Amount $ 7,349,940 $ 6,286,385 $ 7,906,006
PEO Actually Paid Compensation Amount $ 9,425,799 808,795 10,682,785
Adjustment To PEO Compensation, Footnote
PEO 1
Calculation of Compensation Actually Paid2021
($)		2022
($)		2023
($)
SCT Total$7,906,006 $6,286,385 $7,349,940 
- Grant Date Fair Value of Option Awards and Stock Awards Granted in Fiscal Year(4,665,684)(4,682,108)(5,588,751)
+ Fair Value at Fiscal Year-End of Outstanding and Unvested Option Awards and Stock Awards Granted in Fiscal Year4,842,102 2,434,342 5,286,872 
+ Change in Fair Value of Outstanding and Unvested Option Awards and Stock Awards Granted in Prior Fiscal Years872,205 (2,870,631)485,215 
+ Fair Value at Vesting of Option Awards and Stock Awards Granted in Fiscal Year That Vested During Fiscal Year891,076 442,908 — 
+ Change in Fair Value as of Vesting Date of Option Awards and Stock Awards Granted in Prior Fiscal Years For Which Applicable Vesting Conditions Were Satisfied During Fiscal Year622,272 (1,005,974)1,720,919 
- Fair Value as of Prior Fiscal Year-End of Option Awards and Stock Awards Granted in Prior Fiscal Years That Failed to Meet Applicable Vesting Conditions During Fiscal Year— — — 
+ Value of Dividends Earned on Stock Awards in the Covered Fiscal Year, Prior to Vesting 214,808 203,873 171,605 
Compensation Actually Paid10,682,785 808,795 9,425,799 
    
Non-PEO NEO Average Total Compensation Amount $ 1,836,998 1,525,980 2,136,923
Non-PEO NEO Average Compensation Actually Paid Amount $ 2,177,700 510,074 2,779,404
Adjustment to Non-PEO NEO Compensation Footnote
NEO
Calculation of Compensation Actually Paid2021
($)		2022
($)		2023
($)
SCT Total$2,136,923 $1,525,980 $1,836,998 
- Grant Date Fair Value of Option Awards and Stock Awards Granted in Fiscal Year(974,192)(873,847)(966,320)
+ Fair Value at Fiscal Year-End of Outstanding and Unvested Option Awards and Stock Awards Granted in Fiscal Year951,823 438,208 819,159 
+ Change in Fair Value of Outstanding and Unvested Option Awards and Stock Awards Granted in Prior Fiscal Years227,172 (522,597)91,284 
+ Fair Value at Vesting of Option Awards and Stock Awards Granted in Fiscal Year That Vested During Fiscal Year212,134 127,589 144,262 
+ Change in Fair Value as of Vesting Date of Option Awards and Stock Awards Granted in Prior Fiscal Years For Which Applicable Vesting Conditions Were Satisfied During Fiscal Year172,366 (227,356)223,476 
- Fair Value as of Prior Fiscal Year-End of Option Awards and Stock Awards Granted in Prior Fiscal Years That Failed to Meet Applicable Vesting Conditions During Fiscal Year— — — 
+ Value of Dividends Earned on Stock Awards in the Covered Fiscal Year, Prior to Vesting 53,178 42,098 28,841 
Compensation Actually Paid2,779,404 510,074 2,177,700 
    
Compensation Actually Paid vs. Total Shareholder Return
1099511628130
    
Compensation Actually Paid vs. Net Income
1099511628132
    
Compensation Actually Paid vs. Company Selected Measure
1099511628134
    
Total Shareholder Return Vs Peer Group
1099511628130
    
Tabular List, Table
Financial Performance Measures
Adjusted EPS
Adjusted Net Operating Income
New Work Contracts
Revenue
    
Total Shareholder Return Amount $ 114 87 123
Peer Group Total Shareholder Return Amount 171 148 144
Net Income (Loss) $ 161,800,000 $ 203,800,000 $ 291,200,000
Company Selected Measure Amount 3.83 4.37 5.19
PEO Name Bruce Caswell Bruce Caswell Bruce Caswell
Additional 402(v) Disclosure The Company selected measure is Adjusted EPS. Adjusted EPS is defined as diluted earnings per share excluding the effect of the amortization of intangible assets and divestiture-related charges. A GAAP to Non-GAAP reconciliation for fiscal year 2022 and 2023 is included in Item 7 of the Annual Report on Form 10-K for fiscal year 2023 and for fiscal year 2021 the GAAP to Non-GAAP reconciliation is included in Item 7 of the Annual Report on Form 10-K for fiscal year 2022.    
PEO | Equity Awards Granted During the Year, Fair Value [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ (5,588,751) $ (4,682,108) $ (4,665,684)
PEO | Equity Awards Granted During the Year, Unvested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 5,286,872 2,434,342 4,842,102
PEO | Equity Awards Granted in Prior Years, Fair Value [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 485,215 (2,870,631) 872,205
PEO | Equity Awards Granted During the Year, Vested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0 442,908 891,076
PEO | Equity Awards Granted in Prior Years, Vested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 1,720,919 (1,005,974) 622,272
PEO | Equity Awards Granted in Prior Years, Unvested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0 0 0
PEO | Equity Awards, Value of Dividends [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ 171,605 203,873 214,808
Non-PEO NEO | Measure:: 1      
Pay vs Performance Disclosure      
Name Adjusted EPS    
Non-PEO NEO | Measure:: 2      
Pay vs Performance Disclosure      
Name Adjusted Net Operating Income    
Non-PEO NEO | Measure:: 3      
Pay vs Performance Disclosure      
Name New Work Contracts    
Non-PEO NEO | Measure:: 4      
Pay vs Performance Disclosure      
Name Revenue    
Non-PEO NEO | Equity Awards Granted During the Year, Fair Value [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ (966,320) (873,847) (974,192)
Non-PEO NEO | Equity Awards Granted During the Year, Unvested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 819,159 438,208 951,823
Non-PEO NEO | Equity Awards Granted in Prior Years, Fair Value [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 91,284 (522,597) 227,172
Non-PEO NEO | Equity Awards Granted During the Year, Vested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 144,262 127,589 212,134
Non-PEO NEO | Equity Awards Granted in Prior Years, Vested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 223,476 (227,356) 172,366
Non-PEO NEO | Equity Awards Granted in Prior Years, Unvested [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0 0 0
Non-PEO NEO | Equity Awards, Value of Dividends [Member]      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ 28,841 $ 42,098 $ 53,178