Income Taxes	3 Months Ended
Income Taxes	Mar. 31, 2021
Income Tax Disclosure [Abstract]
Income Taxes	Income Taxes The Company is a corporation and is subject to U.S. federal, state, and local income tax on its share of Liberty LLC’s taxable income. Beginning in January 2021, as a result of the OneStim Acquisition (see Note 3), the Company is also subject to Canada federal and provincial income tax on its foreign operations. The Company’s selection of an accounting policy with respect to both the global intangible low taxed foreign income (“GILTI”) and base erosion and anti-abuse tax (“BEAT”) rules is to compute the related taxes in the period the entity becomes subject to either GILTI or BEAT. Undistributed earnings of foreign subsidiaries are considered to be indefinitely reinvested, and no taxes have been accrued on these earnings. The effective global income tax rate applicable to the Company for the three months ended March 31, 2021 was 16.0%, compared to 9.7% for the period ended March 31, 2020. The Company’s effective tax rate is significantly less than the statutory federal tax rate of 21.0% primarily due to the effect of foreign operations and the non-controlling interest’s share of Liberty LLC’s pass-through results for federal, state, and local income tax reporting, upon which no taxes are payable by the Company. The Company recognized income tax benefit of $7.4 million and expense of $0.3 million during the three months ended March 31, 2021 and 2020, respectively. Per the Coronavirus Aid, Relief and Economic Security (“CARES”) Act enacted on March 27, 2020, net operating losses (“NOL”) incurred in 2018, 2019 and 2020 may be carried back to each of the five preceding taxable years to generate a refund of previously paid income taxes. In 2021, the Company will apply for and expects to receive a NOL carryback refund to recover $5.5 million of cash taxes paid by the Company in 2018. This amount has been reflected as a receivable in prepaids and other current assets in the accompanying unaudited condensed consolidated balance sheets. Tax Receivable Agreements In connection with the IPO, on January 17, 2018, the Company entered into two Tax Receivable Agreements (the “TRAs”) with R/C Energy IV Direct Partnership, L.P. and the then existing owners that continued to own Liberty LLC Units (each such person and any permitted transferee, a “TRA Holder” and together, the “TRA Holders”). The TRAs generally provide for the payment by the Company of 85% of the net cash savings, if any, in U.S. federal, state, and local income tax and franchise tax (computed using simplifying assumptions to address the impact of state and local taxes) that the Company actually realizes (or is deemed to realize in certain circumstances) in periods after the IPO as a result, as applicable to each TRA Holder, of (i) certain increases in tax basis that occur as a result of the Company’s acquisition (or deemed acquisition for U.S. federal income tax purposes) of all or a portion of such TRA Holder’s Liberty LLC Units in connection with the IPO or pursuant to the exercise of redemption or call rights, (ii) any net operating losses available to the Company as a result of the Corporate Reorganization, and (iii) imputed interest deemed to be paid by the Company as a result of, and additional tax basis arising from, any payments the Company makes under the TRAs. During the three months ended March 31, 2021, redemptions of Liberty LLC Units and shares of Class B Common Stock resulted in an increase of $28.1 million in amounts payable under the TRAs, and a net increase of $33.0 million in deferred tax assets, all of which were recorded through equity. During the three months ended March 31, 2020, there were no redemptions of Liberty LLC Units and shares of Class B Common Stock. At March 31, 2021 and December 31, 2020, the Company’s liability under the TRAs was $84.7 million and $56.6 million, respectively, all of which is presented as a component of long term liabilities, and the related deferred tax assets totaled $87.0 million and $54.0 million, respectively.

The entire disclosure for income taxes. Disclosures may include net deferred tax liability or asset recognized in an enterprise's statement of financial position, net change during the year in the total valuation allowance, approximate tax effect of each type of temporary difference and carryforward that gives rise to a significant portion of deferred tax liabilities and deferred tax assets, utilization of a tax carryback, and tax uncertainties information.