58.4 is what percent of 63.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 63.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 63.5, so we can write it down as 100%=63.5.
4. We know, that x% equals 58.4 of the output value, so we can write it down as x%=58.4.
5. Now we have two simple equations:
1) 100%=63.5
2) x%=58.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=63.5/58.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.4 is what percent of 63.5

100%/x%=63.5/58.4
(100/x)*x=(63.5/58.4)*x       - we multiply both sides of the equation by x
100=1.0873287671233*x       - we divide both sides of the equation by (1.0873287671233) to get x
100/1.0873287671233=x
91.968503937008=x
x=91.968503937008

now we have:
58.4 is 91.968503937008% of 63.5