9.58 is what percent of 5.18 - 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 5.18 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 5.18, so we can write it down as 100%=5.18.
4. We know, that x% equals 9.58 of the output value, so we can write it down as x%=9.58.
5. Now we have two simple equations:
1) 100%=5.18
2) x%=9.58
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%=5.18/9.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.58 is what percent of 5.18

100%/x%=5.18/9.58
(100/x)*x=(5.18/9.58)*x       - we multiply both sides of the equation by x
100=0.54070981210856*x       - we divide both sides of the equation by (0.54070981210856) to get x
100/0.54070981210856=x
184.94208494208=x
x=184.94208494208

now we have:
9.58 is 184.94208494208% of 5.18