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Income taxes - Reconciliation of Tax Provision Using the Federal Statutory Income Tax Rate to Reported Provision (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2019
Reconciliation of actual provision for income taxes and provision for income taxes resulting from the use of federal statutory income tax |  |  |
Tax expense at statutory rate | $ 80,573 | $ 60,284 | $ 66,637
State income taxes, net of federal benefit | 18,350 | 17,480 | 14,825
Foreign taxation rate differentials | 4,212 | (463) | 1,210
Non-deductible (benefit)/expense | 2,254 | 2,200 | 2,682
Valuation allowance - foreign jurisdictions | 2,285 | 916 | 0
Tax credits | (5,072) | (4,149) | (3,730)
Toll tax | 0 | 0 | (481)
Excess tax benefits from stock-based compensation | (6,008) | (2,038) | (4,783)
Other | (4,113) | (1,677) | 465
Income tax expense | $ 92,481 | $ 72,553 | $ 76,825
U.S Federal Statutory tax rate | 21.00% | 21.00% | 21.00%
Effective tax rate | 24.10% | 25.30% | 24.20%

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- Definition Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319 + Details
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- Definition Percentage of domestic federal statutory tax rate applicable to pretax income (loss). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.Fact.4) -URI http://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(2)) -URI http://asc.fasb.org/extlink&oid=120395691&loc=d3e23780-122690 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319 + Details
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- Definition Amount of difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operation, attributable to expense for award under share-based payment arrangement. Excludes expense determined to be nondeductible upon grant or after for award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32687-109319 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 740 -Section 35 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=120384911&loc=d3e23163-113944 + Details
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