Demand for a leather tote bag at Leatherology is constant at $5,035$ units per year. Leatherology purchases the bags from its supplier for a cost of $$142$ per unit. The lead time to receive an order from the supplier is $20$ days. Leatherology incurs a fixed order cost of $$2,271$ each time it places an order regardless of the number of units ordered. The holding cost per unit per year is $21\%$ of the per unit purchase cost. Leatherology currently orders $665$ units each time it places an order. Assume the firm operates $7$ days per week, $52$ weeks per year, and $364$ days per year.

Calculate the average time a unit spends in inventory in days for the current policy.

Carry your calculations to at least $3$ decimal places.

Enter your answer rounded to one decimal place $($nearest tenth$).$