58.86 is what percent of 452.77 - 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 452.77 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 452.77, so we can write it down as 100%=452.77.
4. We know, that x% equals 58.86 of the output value, so we can write it down as x%=58.86.
5. Now we have two simple equations:
1) 100%=452.77
2) x%=58.86
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%=452.77/58.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.86 is what percent of 452.77

100%/x%=452.77/58.86
(100/x)*x=(452.77/58.86)*x       - we multiply both sides of the equation by x
100=7.6923207611281*x       - we divide both sides of the equation by (7.6923207611281) to get x
100/7.6923207611281=x
12.999977913731=x
x=12.999977913731

now we have:
58.86 is 12.999977913731% of 452.77