Solve 88%*N=36.400

$$88 \% \cdot N = 36.400$$

Solve for N

$$N = \frac{455}{11} = 41\frac{4}{11} \approx 41.363636364$$

Steps for Solving Linear Equation

Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$\frac{22}{25}N=36.4$$

Multiply both sides by \frac{25}{22}, the reciprocal of \frac{22}{25}.

$$N=36.4\times \frac{25}{22}$$

Convert decimal number 36.4 to fraction \frac{364}{10}. Reduce the fraction \frac{364}{10} to lowest terms by extracting and canceling out 2.

$$N=\frac{182}{5}\times \frac{25}{22}$$

Multiply \frac{182}{5} times \frac{25}{22} by multiplying numerator times numerator and denominator times denominator.

$$N=\frac{182\times 25}{5\times 22}$$

Do the multiplications in the fraction \frac{182\times 25}{5\times 22}.

$$N=\frac{4550}{110}$$

Reduce the fraction \frac{4550}{110} to lowest terms by extracting and canceling out 10.

$$N=\frac{455}{11}$$