Product review (5 stars): Prefect Fit. Easy fix!
If you need this particular part, it fits perfectly. It was a great replacement for my old one, which had a crumbling plastic light socket. The replacement one I got had a much better socket. Still I highly recommend using a high efficiency bulb with low heat output. I used an 8 watt LED and it works great and only gets a little warm.

My cover was damaged too (from previously housing an incandescent bulb that scorched it) so I replaced it with this one.
<a data-hook="product-link-linked" class="a-link-normal" href="/NuTone-85315000-Heater-and-Ventilation-Fan-Lens-with-Grille-Assembly/dp/B00A5USZE8/ref=cm_cr_arp_d_rvw_txt?ie=UTF8">NuTone 85315000 Heater and Ventilation Fan Lens with Grille Assembly</a>