Step 1: Molar mass of silver chloride.
The molar mass of \( \text{AgCl} \) is:
\[
M_{\text{AgCl}} = 143.5 \, \text{g/mol}
\]
Step 2: Moles of \( \text{AgCl} \) formed.
The mass of \( \text{AgCl} \) formed is 0.12 g. To find the moles of \( \text{AgCl} \), use the formula:
\[
\text{moles of } \text{AgCl} = \frac{\text{mass}}{\text{molar mass}} = \frac{0.12}{143.5} = 8.36 \times 10^{-4} \, \text{mol}
\]
Step 3: Moles of halide in the compound.
Since the moles of \( \text{AgCl} \) correspond to the moles of halide in the organic compound, the moles of halide = \( 8.36 \times 10^{-4} \) mol.
Step 4: Calculate the percentage of halide.
The number of moles of halide corresponds to \( 8.36 \times 10^{-4} \) mol in a 0.1 g sample of the compound. The mass of halide in the compound is:
\[
\text{Mass of halide} = 8.36 \times 10^{-4} \, \text{mol} \times 143.5 \, \text{g/mol} = 0.12 \, \text{g}
\]
Now, the percentage of halide in the organic compound is:
\[
\text{Percentage of halide} = \frac{0.12 \, \text{g}}{0.1 \, \text{g}} \times 100 = 65%
\]
Final Answer:
\[
\boxed{65%}
\]