558.8 is what percent of 634 - 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 634 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 634, so we can write it down as 100%=634.
4. We know, that x% equals 558.8 of the output value, so we can write it down as x%=558.8.
5. Now we have two simple equations:
1) 100%=634
2) x%=558.8
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%=634/558.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 558.8 is what percent of 634

100%/x%=634/558.8
(100/x)*x=(634/558.8)*x       - we multiply both sides of the equation by x
100=1.13457408733*x       - we divide both sides of the equation by (1.13457408733) to get x
100/1.13457408733=x
88.13880126183=x
x=88.13880126183

now we have:
558.8 is 88.13880126183% of 634