The Standard Model (SM) predicts a branching ratio of the Higgs boson decaying to invisible particles of $mathcal{O}$(0.001), though current measurements have only set upper limits on this value. The small SM-allowed rate can be enhanced if the Higgs boson decays into new particles such as dark matter. Upper limits have been placed on BR(H$rightarrow$inv.) by ATLAS and CMS at $mathcal{O}$(0.1), but the hadron environment limits precision. The ILC `Higgs factory will provide unprecedented precision of this electroweak measurement. Studies of the search for H$rightarrow$invisible processes in simulation are presented with SiD, a detector concept designed for the ILC. Preliminary results for expected sensitivity are provided, as well as studies considering potential systematics limitations.