Solve 400*1.25*20%=x*1.84*98%

$$400 \times 1.25 \times 20 \% =x \times 1.84 \times 98 \%$$

Solve for x

$$x = \frac{62500}{1127} = 55\frac{515}{1127} \approx 55.456965395$$

Steps for Solving Linear Equation

Multiply 400 and 1.25 to get 500.

$$500\times \frac{20}{100}=x\times 1.84\times \frac{98}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$500\times \frac{1}{5}=x\times 1.84\times \frac{98}{100}$$

Multiply 500 and \frac{1}{5} to get \frac{500}{5}.

$$\frac{500}{5}=x\times 1.84\times \frac{98}{100}$$

Divide 500 by 5 to get 100.

$$100=x\times 1.84\times \frac{98}{100}$$

Reduce the fraction \frac{98}{100} to lowest terms by extracting and canceling out 2.

$$100=x\times 1.84\times \frac{49}{50}$$

Convert decimal number 1.84 to fraction \frac{184}{100}. Reduce the fraction \frac{184}{100} to lowest terms by extracting and canceling out 4.

$$100=x\times \frac{46}{25}\times \frac{49}{50}$$

Multiply \frac{46}{25} times \frac{49}{50} by multiplying numerator times numerator and denominator times denominator.

$$100=x\times \frac{46\times 49}{25\times 50}$$

Do the multiplications in the fraction \frac{46\times 49}{25\times 50}.

$$100=x\times \frac{2254}{1250}$$

Reduce the fraction \frac{2254}{1250} to lowest terms by extracting and canceling out 2.

$$100=x\times \frac{1127}{625}$$

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

$$x\times \frac{1127}{625}=100$$

Multiply both sides by \frac{625}{1127}, the reciprocal of \frac{1127}{625}.

$$x=100\times \frac{625}{1127}$$

Express 100\times \frac{625}{1127} as a single fraction.

$$x=\frac{100\times 625}{1127}$$

Multiply 100 and 625 to get 62500.

$$x=\frac{62500}{1127}$$