That is a bit of an oversimplification. The presence of money is no sufficient, that money must be in circulation. For example, they can print all the money they want, if they just toss it all in a big bank account and never remove it, there will be no inflation.

That was a big reason why printing a lot of money in the past did not contribute to a lot of inflation: most of that money ended up sitting in the accounts of a few big institutions, who then did not end up spending it on anything.

This time around, we both gave that money directly to people (who then spent all of it), but also were dealing with global supply issues, an energy crunch, a food crunch, etc. Everyone had more money to spend, but there were less things to spend it on, leading to dramatic price increases.