Question

(\frac{2}{87} div \frac{x}{1000} =)

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$$\frac{72}{87} \div \frac{x}{100} = \frac{72}{87} \times \frac{100}{x} = 1$$

Step2: Simplify left-hand side

Reduce $\frac{72}{87}$ by dividing numerator and denominator by 3:
$$\frac{24}{29} \times \frac{100}{x} = 1$$
$$\frac{2400}{29x} = 1$$

Step3: Solve for $x$

Multiply both sides by $29x$, then isolate $x$:
$$2400 = 29x$$
$$x = \frac{2400}{29}$$

Answer:

$x = \frac{2400}{29}$ (or approximately $82.76$ as a decimal)