5.58 is what percent of 65.58 - 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 65.58 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 65.58, so we can write it down as 100%=65.58.
4. We know, that x% equals 5.58 of the output value, so we can write it down as x%=5.58.
5. Now we have two simple equations:
1) 100%=65.58
2) x%=5.58
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%=65.58/5.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.58 is what percent of 65.58

100%/x%=65.58/5.58
(100/x)*x=(65.58/5.58)*x       - we multiply both sides of the equation by x
100=11.752688172043*x       - we divide both sides of the equation by (11.752688172043) to get x
100/11.752688172043=x
8.5086916742909=x
x=8.5086916742909

now we have:
5.58 is 8.5086916742909% of 65.58