Ah, yeah, the tax bill is much lower here. Our system is progressive, so different amounts of money are taxed at different rates. Here, $100,000 falls into the 24% bracket which is $89,000 to 170,000, but only the amount over $89,000 would be taxed at that rate, with the amounts below 89k being taxed at progressively lower rates. So someone making $100,000 would pay roughly 22,600 in federal taxes, which is income tax + Social Security and Medicare, and your state income tax would vary, New Jersey's is very high, that that would be another ~$4200 for a total tax bill of around $27,000 on that 100,000 income. But most other states have a lower (or none) state income tax and there's various ways to lower your tax bill.
So by those numbers the UK tax rate is roughly double, depending on the state you live in.