let's say you have ten people earning $10,000, and one person earning $100,000.
For the sake of argument and easy numbers, let's say that currently, the 10 people would pay maybe $500 in taxes each. The last person will pay $45,000.
Again, for the sake of argument, let's call the poverty line $9,000 per annum, before taxes. The ten people are pretty much sitting on the poverty line after their $500 tax bill.
That makes a total tax burden of $50,000 spread between the 11 people.
We now need to find a figure x%, such that x% of the total wages of these 11 people give a tax revenue of $50,000. It's fairly easy to see that this figure is 25%.
Now, the man with $100,000 earnings is ecstatic, his take home wage just went up from $55,000 to $75,000 a year. He's laughing all the way to the Merc dealership.
The people earning $10,000, are f***ed. Their take home wage has dropped to $7,500 per annum. Their pre-tax wage is still above the poverty level of $9,000, but their actual take home wage has drastically reduced. In very real terms, the poverty level rises from $9,000 per annum to $11,000. People not in poverty before, are in poverty now.
That's ok, says everyone! We'll increase the minimum wage! Corporations, run by the rich, who just got a big tax cut, can afford to do that! So now the rich must directly give more money to the poor to equalize the burden created by the new tax rule. The rich have the same as they had before (because the reduction got given to the poor), the poor have the same as before (because they got a higher wage to compensate for higher taxes), and the government has the same as before (because we engineered that).
Net change - 0