Inflation as the government calculates it conveniently doesn't include gas or food in its calculations. Considering those are the two things that are really skyrocketing for the average citizen right now, the government calculations are pretty much worthless to the average American.
Its like telling a leper their finger didn't just fall off, despite the fact that it just fell into the potato salad.
The government does calculate food and gas prices into the inflation numbers, it's called headline inflation and is a really, really dumb tool to use when making projections. Those two items are left out to determine core inflation. Headline inflation is only important when it starts to leak into core inflation. Sustained high energy prices did this in the fall of 2008 just before the collapse of the financial markets. The high prices were pushing up the costs of goods used to compute core inflation.
Food and energy are both commodities and subject to wild variations which make them terrible for judging month-to-month inflation. You're just one Russian drought/OPEC country going apeshit from having another inflation measure that's pretty much worthless to the average American.
Headline inflation is in blue, core is in red.

Headline inflation could possibly hit 4 percent some time this year if the dollar reverses its current climb and completely goes in the tank (unlikely with the Euro facing major distress). Core inflation will probably clock in between 2-3 percent, right around the Fed's target of 2 percent, and that target should probably be a bit higher.
Even with all the money that has been printed, there's less "wealth" in the U.S. than before the financial markets collapsed. The net wealth of the country was about $66 trillion in late 2007 early 2008. About $13 trillion of that evaporated in the Great Recession (stocks, home values etc). It's back to about $57-59 trillion right now.
The real challenge for the Fed, and this is a big challenge, is to pull the trigger on raising rates when GDP growth hits 4-5 percent and unload all barrels if it gets above that. Most of the money that's been printed isn't circulating, so it's as if it never existed. If banks start to lend again, things can quickly go south with double-digit inflation.