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\frac{6977}{5088}\times 100=x
Multiply both sides by 100.
\frac{6977\times 100}{5088}=x
Express \frac{6977}{5088}\times 100 as a single fraction.
\frac{697700}{5088}=x
Multiply 6977 and 100 to get 697700.
\frac{174425}{1272}=x
Reduce the fraction \frac{697700}{5088} to lowest terms by extracting and canceling out 4.
x=\frac{174425}{1272}
Swap sides so that all variable terms are on the left hand side.