115.3 is what percent of 208.2 - 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 208.2 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 208.2, so we can write it down as 100%=208.2.
4. We know, that x% equals 115.3 of the output value, so we can write it down as x%=115.3.
5. Now we have two simple equations:
1) 100%=208.2
2) x%=115.3
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%=208.2/115.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.3 is what percent of 208.2

100%/x%=208.2/115.3
(100/x)*x=(208.2/115.3)*x       - we multiply both sides of the equation by x
100=1.805724197745*x       - we divide both sides of the equation by (1.805724197745) to get x
100/1.805724197745=x
55.37944284342=x
x=55.37944284342

now we have:
115.3 is 55.37944284342% of 208.2