Solve 20.5%*x=16.4

$$20.5 \% \times x=16.4$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Expand \frac{20.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{205}{1000}x=16.4$$

Reduce the fraction \frac{205}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{41}{200}x=16.4$$

Multiply both sides by \frac{200}{41}, the reciprocal of \frac{41}{200}.

$$x=16.4\times \frac{200}{41}$$

Convert decimal number 16.4 to fraction \frac{164}{10}. Reduce the fraction \frac{164}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{82}{5}\times \frac{200}{41}$$

Multiply \frac{82}{5} times \frac{200}{41} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{82\times 200}{5\times 41}$$

Do the multiplications in the fraction \frac{82\times 200}{5\times 41}.

$$x=\frac{16400}{205}$$

Divide 16400 by 205 to get 80.

$$x=80$$