This is, of course, ridiculous.
If you have a $250,000 household income, you would need to pay your nanny half of that to have equal income, but why would you expect or want to have equal income in the first place? If you get a raise, do you pay your nanny more even though she's doing the same work?
If people give you money, you earned it. If you want somebody else to have your money, give it to them, they will have earned it. If you aren't willing to give somebody your money, then they have not earned it.