Plutonium Casting has $30$ employees, who are distributed as follows:

Design

Fabrication

Purchasing

Administration

Sales

$8$ employees

$6$ employees

$2$ employees

$5$ employees

$9$ employees

The payroll$-$related costs for the year are $$608,096.$ If Plutonium Casting does use departmental classification, how much is allocated to the Design department?

Note: Do not round intermediate calculations. Round final answer to $2$ decimal places.