(8) (A) The “Federal percentage” for any State (other than Puerto Rico, the Virgin Islands, and Guam) shall be 100 per centum less the State percentage; and the State percentage shall be that percentage which bears the same ratio to 50 per centum as the square of the per capita income of such State bears to the square of the per capita income of the United States; except that the Federal percentage shall in no case be less than 50 per centum or more than 65 per centum. (B) The Federal percentage for each State (other than Puerto Rico, the Virgin Islands, and Guam) shall be promulgated by the Secretary between October 1 and November 30 of each year, on the basis of the average per capita income of each State and of the United States for the three most recent calendar years for which satisfactory data are available from the Department of Commerce. Such promulgation shall be conclusive for each of the four quarters in the period beginning October 1 next succeeding such promulgation: Provided, That the Secretary shall promulgate such percentages as soon as possible after August 28, 1958 , which promulgation shall be conclusive for each of the eleven quarters in the period beginning October 1, 1958 , and ending with the close of June 30, 1961 . (C) The term “United States” means (but only for purposes of subparagraphs (A) and (B) of this paragraph) the fifty States and the District of Columbia. (D) Promulgations made before satisfactory data are available from the Department of Commerce for a full year on the per capita income of Alaska shall prescribe a Federal percentage for Alaska of 50 per centum and, for purposes of such promulgations, Alaska shall not be included as part of the “United States”. Promulgations made thereafter but before per capita income data for Alaska for a full three-year period are available from the Department of Commerce shall be based on satisfactory data available therefrom for Alaska for such one full year or, when such data are available for a two-year period, for such two years.