Hello student,
convert all the given data into same units
bond length = 1.275 * 10-8 c.m.
charge on electron = 4.8 * 10-10 esu
ideal dipole moment = 1.275 * 10-8 * 4.8 * 10-10
= 6.12 * 10-18 esu cm
observed dipole moment = 1.03 Debye = 1.03 * 10-18 esu c.m.
% ionic character = observed dipole moment /ideal dipole moment * 100
1.03 *10-18/6.12 * 10-18 = 0.1683* 100
=16.83