I have no idea why you are calling it a lie. The AGI is clearly "adjusted" and the formula is public.
This might be more interesting...
In 2011, households in the top, middle, and bottom quintiles received 52, 14, and 5 percent of the nation's before-tax income, respectively; the shares of federal taxes paid by those households were 69, 9, and 1 percent.[1]
So the top quintile earns 52% of the before-tax income and payers 69% of all taxes. The bottom quintile earns 5% of all before-tax income and pays 1% of the taxes.
[1]https://www.cbo.gov/publication/49440