Solve 96/349x=25.6%

$$\frac { 96 } { 349 } x = 25.6 \%$$

Solve for x

$$x=\frac{349}{375}\approx 0.930666667$$

Steps for Solving Linear Equation

Expand \frac{25.6}{100} by multiplying both numerator and the denominator by 10.

$$\frac{96}{349}x=\frac{256}{1000}$$

Reduce the fraction \frac{256}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{96}{349}x=\frac{32}{125}$$

Multiply both sides by \frac{349}{96}, the reciprocal of \frac{96}{349}.

$$x=\frac{32}{125}\times \frac{349}{96}$$

Multiply \frac{32}{125} times \frac{349}{96} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{32\times 349}{125\times 96}$$

Do the multiplications in the fraction \frac{32\times 349}{125\times 96}.

$$x=\frac{11168}{12000}$$

Reduce the fraction \frac{11168}{12000} to lowest terms by extracting and canceling out 32.

$$x=\frac{349}{375}$$