Normal calculations in reverse

The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past $10$‍ years was approximately normal with mean $\mu =85$‍ days and standard deviation $\sigma =29$‍ days.

The property management company tags the files of the apartments that were empty for the shortest $5\mathrm{\%}$‍ of durations to have priority cleaning the next time their residents move out.

What is the maximum duration for which an apartment remained empty for the company to tag its file? Round to the nearest whole number.