abacacus wrote:
Holy crap dude, punctuation!
Now that I got that out of the way, I'll see if I can answer what I think your asking:
A progressive tax system works by charging more tax on people who make more money. Simple. Say a system has three brackets arranged as such:
1: 0-8500 a year, 0 tax.
2: 8501-35000 a year, 10% tax
3: 35001+, 20% tax.
Say you make 35790 dollars next year, your income tax will be 20% of that (7158 dollars). Say you lose your job next year, and end up making 10000 dollars in the time you did work, your now in the second bracket and so only pay 10% in taxes (1000 dollars). The next year, your still out of work and only make 500 dollars from bank interest, your now in the first bracket and pay no income tax. That's progressive taxation in its most basic form.
This isn't how most tax systems work. In the UK, for example, if those were our tax brackets then someone earning £10,000 would pay £150 in tax- his earnings, subtract £8500 (which everyone gets tax free), and then 10% of what remains (£1500).
In the case of the person who earns £35790, they would pay 20% of £790, then 10% of £26500. Otherwise someone who earned £35000 per year would take home a lot more than someone who earned £35001 (£31500 versus about £28000), which makes no sense and would deter people from seeking higher wages.
It's slightly more complicated than that, because over a certain amount you lose the tax-free amount, but we won't go there...