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Schedule II - Condensed Financial Information of Registrant - Condensed Statements of Cash Flows of Registrant (Details) (USD $) | 12 Months Ended
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Sep. 30, 2014 | Sep. 30, 2013 | Sep. 30, 2012
Cash flows from operating activities: |  |  |
Net income (loss) | $ 101,700,000 | $ (69,000,000) | $ 110,700,000
Adjustments to reconcile net income (loss) to operating cash flows: |  |  |
Depreciation and amortization | 302,600,000 | 358,700,000 | 268,300,000
Stock compensation | 91,100,000 | 61,500,000 | 31,200,000
Amortization of debt issuance costs | 21,000,000 | 18,100,000 | 12,800,000
Amortization of debt discount | 4,600,000 | 3,000,000 | 1,300,000
Write-off of debt issuance costs on retired debt | 6,400,000 | 32,400,000 | 2,900,000
Write-off of debt discount on retired debt | 2,800,000 | (3,100,000) | (500,000)
Equity in net income of subsidiaries |  |  |
Gain On Contingent Purchase Price Adjustment | (500,000) |  | (41,000,000)
Changes in operating assets and liabilities: |  |  |
Net change in cash due to operating activities | 607,900,000 | 522,300,000 | 622,500,000
Cash flows from investing activities: |  |  |
Proceeds from investments sold, matured or repaid | 5,609,200,000 | 9,432,200,000 | 6,206,700,000
Cost of investments acquired | (7,221,400,000) | (8,940,800,000) | (5,972,700,000)
Capital expenditures | (98,200,000) | (100,100,000) | (53,500,000)
Net change in cash due to investing activities | (1,920,600,000) | (2,010,800,000) | (185,600,000)
Cash flows from financing activities: |  |  |
Dividends paid on preferred stock | (28,600,000) | (33,400,000) | (23,600,000)
Repayment of senior secured notes, including tender / call premium |  |  | 0
Common stock repurchased | (65,600,000) | (12,300,000) |
Share based award tax withholding payments | (31,500,000) | (22,300,000) | (3,900,000)
Other financing activities, net | 2,800,000 |  | (1,000,000)
Net change in cash due to financing activities | 740,400,000 | 1,922,000,000 | (102,700,000)
Net change in cash and cash equivalents | (580,500,000) | 429,000,000 | 333,300,000
Cash and cash equivalents at beginning of period | 1,899,700,000 | 1,470,700,000 | 1,137,400,000
Cash and cash equivalents at end of period | 1,319,200,000 | 1,899,700,000 | 1,470,700,000
HGI |  |  |
Cash flows from operating activities: |  |  |
Net income (loss) | (10,300,000) | (45,800,000) | 89,500,000
Adjustments to reconcile net income (loss) to operating cash flows: |  |  |
Depreciation and amortization | 200,000 | 200,000 | 100,000
Stock compensation | 27,000,000 | 11,700,000 | 1,900,000
Amortization of debt issuance costs | 3,500,000 | 2,700,000 | 2,900,000
Amortization of debt discount | 1,500,000 | 500,000 | 600,000
Write-off of debt issuance costs on retired debt | 0 | 10,800,000 | 0
Write-off of debt discount on retired debt | 0 | 2,100,000 | 0
Deferred income taxes | 0 | 0 | 3,600,000
Equity in net income of subsidiaries | (207,700,000) | (263,700,000) | (354,600,000)
Dividends from subsidiaries | 118,000,000 | 127,100,000 | 69,500,000
Loss from the change in the fair value of the equity conversion feature of preferred stock | 12,700,000 | 101,600,000 | 156,600,000
Gain On Contingent Purchase Price Adjustment | (500,000) |  |
Changes in operating assets and liabilities: |  |  |
Prepaid expenses and other current assets | 0 | 0 | (4,600,000)
Accounts payable and accrued and other current liabilities | 43,500,000 | 51,400,000 | 27,000,000
Other operating | (700,000) | 11,600,000 | (1,700,000)
Net change in cash due to operating activities | (12,800,000) | 10,200,000 | (9,200,000)
Cash flows from investing activities: |  |  |
Proceeds from investments sold, matured or repaid | 0 | 34,000,000 | 108,900,000
Cost of investments acquired | 0 | 0 | (68,000,000)
Capital contributions to consolidated subsidiaries | (115,500,000) | (454,400,000) | (36,300,000)
Return of capital from subsidiary | 0 | 126,800,000 | 88,000,000
(Advances to) repayments from consolidated subsidiaries | 0 | 0 | 49,300,000
Capital expenditures | (300,000) | (400,000) | 0
Net change in cash due to investing activities | (115,800,000) | (294,000,000) | 141,900,000
Cash flows from financing activities: |  |  |
Dividends paid on preferred stock | (28,600,000) | (33,400,000) | (31,700,000)
Proceeds from senior secured notes | 400,000,000 | 923,900,000 | 0
Repayment of senior secured notes, including tender / call premium | 0 | (545,900,000) |
Debt issuance costs | (10,400,000) | (25,100,000) | 0
Common stock repurchased | (65,600,000) | (12,300,000) |
Share based award tax withholding payments | (6,500,000) | (2,300,000) |
Other financing activities, net | 2,800,000 | 0 | 0
Net change in cash due to financing activities | 291,700,000 | 304,900,000 | (31,700,000)
Net change in cash and cash equivalents | 163,100,000 | 21,100,000 | 101,000,000
Cash and cash equivalents at beginning of period | 256,900,000 | 235,800,000 | 134,800,000
Cash and cash equivalents at end of period | $ 420,000,000 | $ 256,900,000 | $ 235,800,000

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- Definition The cash outflow for purchases of and capital improvements on property, plant and equipment (capital expenditures), software, and other intangible assets. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Investing Activities -URI http://asc.fasb.org/extlink&oid=6516133 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 13 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3213-108585 + Details
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- Definition The excess of (1) the fair value of all securities and other consideration transferred in transactions by the registrant to the holders of the convertible preferred stock over (2) the fair value of securities issuable pursuant to the original conversion terms, during the accounting period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section S99 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=27010884&loc=d3e42851-122695 + Details
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- Definition The cash inflow from an entity that is affiliated with the entity by means of direct or indirect ownership. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 14 -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3255-108585 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Financing Activities -URI http://asc.fasb.org/extlink&oid=6513228 + Details
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- Definition The cash inflow from a borrowing with the highest claim on the assets of the entity in case of bankruptcy or liquidation (with maturities initially due after one year or beyond the operating cycle, if longer). + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Financing Activities -URI http://asc.fasb.org/extlink&oid=6513228 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 14 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3255-108585 + Details
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- Definition The net cash inflow or outflow from other financing activities. This element is used when there is not a more specific and appropriate element in the taxonomy. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Financing Activities -URI http://asc.fasb.org/extlink&oid=6513228 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3095-108585 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 9 -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3098-108585 + Details
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- Definition Amount of cash inflow (outflow) from long-term debt by a related party. Related parties, include, but are not limited to, affiliates, owners or officers and their immediate families, and pension trusts. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Financing Activities -URI http://asc.fasb.org/extlink&oid=6513228 + Details
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- Definition The cash inflow associated with the sale, maturity and collection of all investments such as debt, security and so forth during the period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3179-108585 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Investing Activities -URI http://asc.fasb.org/extlink&oid=6516133 + Details
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- Definition The consolidated profit or loss for the period, net of income taxes, including the portion attributable to the noncontrolling interest. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 55 -Paragraph 4K -URI http://asc.fasb.org/extlink&oid=35736750&loc=SL4591552-111686 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 45 -Paragraph 19 -URI http://asc.fasb.org/extlink&oid=7656940&loc=SL4569616-111683 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 1A -Subparagraph (a),(c) -URI http://asc.fasb.org/extlink&oid=18733093&loc=SL4573702-111684 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 55 -Paragraph 4J -URI http://asc.fasb.org/extlink&oid=35736750&loc=SL4591551-111686 + Details
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- Definition The cash outflow for a long-term debt where the holder has highest claim on the entity's asset in case of bankruptcy or liquidation during the period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 15 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3291-108585 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Financing Activities -URI http://asc.fasb.org/extlink&oid=6513228 + Details
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- Definition The aggregate amount of noncash, equity-based employee remuneration. This may include the value of stock or unit options, amortization of restricted stock or units, and adjustment for officers' compensation. As noncash, this element is an add back when calculating net cash generated by operating activities using the indirect method. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585 + Details
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