63.4 is what percent of 109.31 - 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 109.31 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 109.31, so we can write it down as 100%=109.31.
4. We know, that x% equals 63.4 of the output value, so we can write it down as x%=63.4.
5. Now we have two simple equations:
1) 100%=109.31
2) x%=63.4
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%=109.31/63.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.4 is what percent of 109.31

100%/x%=109.31/63.4
(100/x)*x=(109.31/63.4)*x       - we multiply both sides of the equation by x
100=1.7241324921136*x       - we divide both sides of the equation by (1.7241324921136) to get x
100/1.7241324921136=x
58.000182965877=x
x=58.000182965877

now we have:
63.4 is 58.000182965877% of 109.31