Solve 75.1%/15.2%=n!/n_{2}

$$\frac { 75.1 \% } { 15.2 \% } = \frac { n ! } { n _ { 2 } }$$

Solve for n_2

$$n_{2}=\frac{152n!}{751}$$

$$n!\neq 0$$

Steps for Solving Linear Equation

Variable n_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n_{2}.

$$\frac{125}{19}n_{2}\times \frac{75.1}{100}=n!$$

Expand \frac{75.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{125}{19}n_{2}\times \frac{751}{1000}=n!$$

Multiply \frac{125}{19} and \frac{751}{1000} to get \frac{751}{152}.

$$\frac{751}{152}n_{2}=n!$$

Divide both sides of the equation by \frac{751}{152}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{751}{152}n_{2}}{\frac{751}{152}}=\frac{n!}{\frac{751}{152}}$$

Dividing by \frac{751}{152} undoes the multiplication by \frac{751}{152}.

$$n_{2}=\frac{n!}{\frac{751}{152}}$$

Divide n! by \frac{751}{152} by multiplying n! by the reciprocal of \frac{751}{152}.

$$n_{2}=\frac{152n!}{751}$$

Variable n_{2} cannot be equal to 0.

$$n_{2}=\frac{152n!}{751}\text{, }n_{2}\neq 0$$