61.62 is what percent of 558.65 - 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 558.65 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 558.65, so we can write it down as 100%=558.65.
4. We know, that x% equals 61.62 of the output value, so we can write it down as x%=61.62.
5. Now we have two simple equations:
1) 100%=558.65
2) x%=61.62
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%=558.65/61.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.62 is what percent of 558.65

100%/x%=558.65/61.62
(100/x)*x=(558.65/61.62)*x       - we multiply both sides of the equation by x
100=9.0660499837715*x       - we divide both sides of the equation by (9.0660499837715) to get x
100/9.0660499837715=x
11.030161997673=x
x=11.030161997673

now we have:
61.62 is 11.030161997673% of 558.65