Question

How to Calculate an Unknown Total When You Know the Amount of the Percent

Answer 1

Let A be the amount of the percentage, P% the percentage, and x be the unknown total, then we can set the following equation:

`A=x\cdot(P)/(100)\text{.}`

Therefore, to find the total amount we solve the above equation for x:

`\begin{gathered} A=x\cdot(P)/(100), \\ (A)/(P)\cdot100=x\text{.} \end{gathered}`

Example: If we know that the 30% of x is 60, then:

`x=(60)/(30)\cdot100=200.`