84.36 is what percent of 613.54 - 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 613.54 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 613.54, so we can write it down as 100%=613.54.
4. We know, that x% equals 84.36 of the output value, so we can write it down as x%=84.36.
5. Now we have two simple equations:
1) 100%=613.54
2) x%=84.36
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%=613.54/84.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.36 is what percent of 613.54

100%/x%=613.54/84.36
(100/x)*x=(613.54/84.36)*x       - we multiply both sides of the equation by x
100=7.2728781412992*x       - we divide both sides of the equation by (7.2728781412992) to get x
100/7.2728781412992=x
13.749714770023=x
x=13.749714770023

now we have:
84.36 is 13.749714770023% of 613.54