PA $8-4($Algo$)$ In the welding operations of a bicycle manufacturer...

In the welding operations of a bicycle manufacturer, a bike frame has a flow time of about $16\mathrm{.}45$ hours. The time in the welding operation is spent as follows: $2$ hours waiting in front of the cutting machine for the batch to start, $3$ hours waiting for the setup of the machine, $2$ hours waiting for the other pieces of the batch to go through cutting, $2$ minutes at the cutting machine, and $4$ hours waiting for the transfer to the welding machine. Then, at the welding machine, the unit spends $2$ hours waiting in front of the welding machine for the batch to start, $1$ hour waiting for the setup of the welding machine, $0\mathrm{.}45$ hours waiting for the other pieces of the batch to go through welding, $0\mathrm{.}55$ minutes at the welding machine, and $2$ hours waiting for the transfer to the next department.

Determine the exact flow time. What is the value$-$added percentage of the flow time?

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