Find multiplier for a given number that will result in another given number

Question

Example:

63 * x = 1

How to find x? In this case it's approximately 0.0158730159

---

I apologize if the question was asked (most likely so!), I probably lack knowledge of terminology and keywords to find it by search.

Answer 1

You just divide both sides of the equation by $63$: \begin{align*} 63x &=1 \\ \frac{1}{63}\times 63x &= \frac{1}{63} \times 1\\ x &= \frac{1}{63}. \end{align*}

In general, if you want to solve $ax = b$, you multiply both sides by $\frac{1}{a}$: \begin{align*} ax &=b \\ \frac{1}{a}\times ax &= \frac{1}{a} \times b\\ x &= \frac{b}{a}. \end{align*}