For your interpretation to be right the wording would have to be, "63% of students are food-insecure and, of those students, 14% are homeless". As written, there is no indication that those two percentages are related.
Actually, no. For my interpretation to be absolutely correct it would need to be:
"63 percent of parenting community college students surveyed were food insecure and of those students almost 14 percent were homeless..."
So I see your point and I stand corrected, but I contest that the sentence in question was written very poorly--easily leading to this misinterpretation.
The subject of it is "parenting community college students", yet the context shifts regarding the 14% according to the table you mentioned.
There the 14% is representative of "Prevalence of Housing Insecurity, Homelessness, and Food Security Among Survey Respondents."
Therefore, the 14% is of the whole but that sentence alludes, incorrectly, to only the "parenting" subset.
> Of children who have parents that are in community college, 14% are homeless?
There is no breakdown of such characters on a parenting vs. non-parenting basis.
So it could be 13% of "homeless" students are parenting vs. 1% who are non-parenting, the complete reversal, or anything in between.
As in_cahoots noted above, check out Table 3 of the data. It alone is much more clear on what's what.