Step 1: Drug ionization is governed by the Henderson-Hasselbalch relationship, where pKa is the negative logarithm of the acid dissociation constant.
Step 2: Setting the pH numerically equal to the pKa makes the log term vanish because $\log 1 = 0$, which forces the concentrations of charged and uncharged drug to be identical.
Step 3: Equal concentrations translate directly to a 50:50 split, so half the drug is ionized and half is non-ionized at pKa = pH.
\[\boxed{\text{50\% ionic and 50\% non-ionic}}\]