Solve 96%=x/98*0.225*100=

$$96 \% = \frac{ x }{ 98 \times 0.225 } \times 100=$$

Solve for x

$$x=0.21168$$

Steps for Solving Linear Equation

Reduce the fraction \frac{96}{100} to lowest terms by extracting and canceling out 4.

$$\frac{24}{25}=\frac{x}{98\times 0.225}\times 100$$

Multiply 98 and 0.225 to get 22.05.

$$\frac{24}{25}=\frac{x}{22.05}\times 100$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{22.05}\times 100=\frac{24}{25}$$

Divide both sides by 100.

$$\frac{x}{22.05}=\frac{\frac{24}{25}}{100}$$

Express \frac{\frac{24}{25}}{100} as a single fraction.

$$\frac{x}{22.05}=\frac{24}{25\times 100}$$

Multiply 25 and 100 to get 2500.

$$\frac{x}{22.05}=\frac{24}{2500}$$

Reduce the fraction \frac{24}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{x}{22.05}=\frac{6}{625}$$

Multiply both sides by 22.05.

$$x=\frac{6}{625}\times 22.05$$

Convert decimal number 22.05 to fraction \frac{2205}{100}. Reduce the fraction \frac{2205}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{6}{625}\times \frac{441}{20}$$

Multiply \frac{6}{625} times \frac{441}{20} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6\times 441}{625\times 20}$$

Do the multiplications in the fraction \frac{6\times 441}{625\times 20}.

$$x=\frac{2646}{12500}$$

Reduce the fraction \frac{2646}{12500} to lowest terms by extracting and canceling out 2.

$$x=\frac{1323}{6250}$$