Solve (1-25%)x=52.5

$$( 1 - 25 \% ) x = 52.5$$

Solve for x

$$x=70$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\left(1-\frac{1}{4}\right)x=52.5$$

Convert 1 to fraction \frac{4}{4}.

$$\left(\frac{4}{4}-\frac{1}{4}\right)x=52.5$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{4}x=52.5$$

Subtract 1 from 4 to get 3.

$$\frac{3}{4}x=52.5$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=52.5\times \frac{4}{3}$$

Convert decimal number 52.5 to fraction \frac{525}{10}. Reduce the fraction \frac{525}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{105}{2}\times \frac{4}{3}$$

Multiply \frac{105}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{105\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{105\times 4}{2\times 3}.

$$x=\frac{420}{6}$$

Divide 420 by 6 to get 70.

$$x=70$$