58 is what percent of 208.6 - 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 208.6 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 208.6, so we can write it down as 100%=208.6.
4. We know, that x% equals 58 of the output value, so we can write it down as x%=58.
5. Now we have two simple equations:
1) 100%=208.6
2) x%=58
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%=208.6/58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58 is what percent of 208.6

100%/x%=208.6/58
(100/x)*x=(208.6/58)*x       - we multiply both sides of the equation by x
100=3.5965517241379*x       - we divide both sides of the equation by (3.5965517241379) to get x
100/3.5965517241379=x
27.804410354746=x
x=27.804410354746

now we have:
58 is 27.804410354746% of 208.6