is 20,000 kbp/s considered a fast internet connection?

[Erik]

I imagine that kbp/s is supposed to mean 20,000 kilobytes per second.

If that is the case than, 20,000 kilobytes = 20 megabytes.

A good average for home use is about 12 (ish) megabytes per second, so you are doing pretty well at 20. If it is going to be just you on the wire then you will have a very fast internet connection. If you are sharing it between a few machines and devices it may be a bit slower, but not by much. You would have to have a lot of high demand traffic to slow down 20 mb/s internet, but it could be done if multiple people in the house are all online at the same time.