In a manufacturing process, a molded part spends $4$ hours in inventory before being placed in a deburring machine, where the part is processed for $3$ minutes. After deburring, the part spends $5$ hours in inventory waiting for its turn on the polishing machine. The part then spends $4$ minutes in polishing before waiting $4$ hours in line to be painted. The part goes through a painting process that takes $4$ minutes, then spends $18$ hours in inventory before being shipped to the customer.

What is the percentage of value$-$added time for the part?

Note: Round your answer as a percentage to $4$ decimal places.