Each day, a FedEx competitor processes approximately $75,000$ shipments. Suppose that they use the same Service Quality Index as FedEx and identified the following numbers 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.

Description Weight Number of Errors

Complaints reopened $3105$

Damaged packages $1015$

International $1102$

Invoice adjustments $1283$

Late pickup stops $3202$

Lost packages $104$

Missed proof of delivery $127$

Right date late $1749$

Traces $3118$

Wrong day late $513$

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$)$:

$\%$