63.39 is what percent of 108.89 - 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 108.89 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 108.89, so we can write it down as 100%=108.89.
4. We know, that x% equals 63.39 of the output value, so we can write it down as x%=63.39.
5. Now we have two simple equations:
1) 100%=108.89
2) x%=63.39
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%=108.89/63.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.39 is what percent of 108.89

100%/x%=108.89/63.39
(100/x)*x=(108.89/63.39)*x       - we multiply both sides of the equation by x
100=1.7177788294684*x       - we divide both sides of the equation by (1.7177788294684) to get x
100/1.7177788294684=x
58.214712094775=x
x=58.214712094775

now we have:
63.39 is 58.214712094775% of 108.89