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,$3,140],[$Damaged packages,$10,20],[$International$,1,103],[$Invoice adjustments,$1,278],[$Late pickup stops,$3,212],[$Lost packages,$10,4],[$Missed proof of delivery,$1,30],[$Right date late,$1,747],[$Traces$,3,117],[$Wrong day late,$5,15]]$

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$)$: $\%$