no matter what (something) is
Use this phrase to explain something that is the same in every situation, and the circumstances don't matter (they're not important):
Ideally, you should get it done as quickly as possible, no matter what the deadline is.
In the example at top, "no matter what their income is" means that the person's income isn't important. People who are poor are unsatisfied, and rich people are also unsatisfied.
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