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Business and summary of significant accounting policies - Narrative (Details) |  | 3 Months Ended | 12 Months Ended |
--- | --- | --- | --- | ---
Jul. 01, 2020 USD ($) | Mar. 31, 2020 USD ($) $ / shares | Sep. 30, 2020 USD ($) segment | Sep. 30, 2019 USD ($) | Sep. 30, 2018 USD ($) | Oct. 01, 2019 USD ($)
Property and Equipment |  |  |  |  |  |
Goodwill |  |  | $ 593,129,000 | $ 584,469,000 | $ 399,882,000 |
Number of business segments | segment |  |  | 3 |  |  |
Accounts receivable |  |  | $ 786,200,000 |  |  |
Bad debt expense |  |  | 2,800,000 |  |  |
Revenue adjustment |  | $ 24,000,000 |  |  |  |
Earnings per share adjustment (in dollars per share) | $ / shares |  | $ 0.28 |  |  |  |
Net income adjustment |  | $ 18,000,000 |  |  |  |
Total lease liabilities |  |  | 184,759,000 |  |  |
Goodwill, impairment loss | $ 0 |  |  |  |  |
Impairment of long-lived assets held-for-use |  |  |  |  | 0 |
Accounting Standards Update 2016-02 |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Total lease liabilities |  |  |  |  |  | $ 214,500,000
Office space |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Total lease liabilities |  |  | $ 171,610,000 |  |  |
Office space | Maximum |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Estimated useful lives |  |  | 39 years |  |  |
Office furniture and equipment. | Maximum |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Estimated useful lives |  |  | 7 years |  |  |
Software development costs. | Minimum |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Estimated useful lives |  |  | 3 years |  |  |
Software development costs. | Maximum |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Estimated useful lives |  |  | 8 years |  |  |
U.S. Services |  |  |  |  |  |
Property and Equipment |  |  |  |  |  |
Goodwill |  |  | $ 164,472,000 | 164,472,000 | $ 139,588,000 |
Impairment of long-lived assets held-for-use |  |  | $ 1,200,000 | $ 3,700,000 |  |

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