Each day, a FedEx competitor processes approximately $65,000$ shipments. Suppose that they use the same Service Quality Index as FedEx and identified the following number of errors during a $5-$day week $($see the "FedEx: Measuring Service Performance" box$).$ These values are hypothetical and do not reflect any real company's actual performance.

$\backslash$table$[[$Description$,$Weight,Number of Errors$],[$Complaints reopened,$3,120],[$Damaged packages,$10,16],[$International$,1,107],[$Invoice adjustments,$1,288],[$Late pickup stops,$3,205],[$Lost packages,$10,4],[$Missed proof of delivery,$1,23],[$Right date late,$1,747],[$Traces$,3,120],[$Wrong day late,$5,10]]$

Compute the Service Quality Indicator by finding the weighted sum of errors as a percentage of total shipments. Do not round intermediate calculations. Round your answer to three decimal places.

Service Quality Indicator $($SQI$)$: $\%$