The like keyword will do a complete term match, it's not a fuzzy search.
There are likely better ways to tackle this, but here's one.
1) Split the string in the stored proc
(function here)[
^] and put them in a temp table
2) Create a temp table to hold your final search results
3) Loop through the temp table with the search terms and for each one, add the search results to the final results table
4) Select and return the final results table
Cheers.