For an executive to receive $10.00 million in spendable cash the salary before taxes needs to be $18.79 million. The total corporate cost is $25.30 million. By two routes the federal government nets $14.40 million and the state gets $892.5 grand. The employer pays $6.51 million directly to the feds in wage and associated corporate income tax.
Below is a table in which you can make changes to the values used in the calculation. The submit button will perform the calculation and let you do it again. The tax code is a bit nebulous, to say the least, so there are approximations involved. The results will be inaccurate for incomes less than $200,000 or so and companies which have special arrangements, like those which make wooden arrows exactly 3/8 of an inch in diameter, will not pay the same corporate tax. But I think the general idea will be interesting to you.