54.53 is what percent of 86.31 - 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 86.31 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 86.31, so we can write it down as 100%=86.31.
4. We know, that x% equals 54.53 of the output value, so we can write it down as x%=54.53.
5. Now we have two simple equations:
1) 100%=86.31
2) x%=54.53
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%=86.31/54.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.53 is what percent of 86.31

100%/x%=86.31/54.53
(100/x)*x=(86.31/54.53)*x       - we multiply both sides of the equation by x
100=1.5827984595635*x       - we divide both sides of the equation by (1.5827984595635) to get x
100/1.5827984595635=x
63.179237631792=x
x=63.179237631792

now we have:
54.53 is 63.179237631792% of 86.31