97.1 is what percent of 185.6 - 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 185.6 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 185.6, so we can write it down as 100%=185.6.
4. We know, that x% equals 97.1 of the output value, so we can write it down as x%=97.1.
5. Now we have two simple equations:
1) 100%=185.6
2) x%=97.1
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%=185.6/97.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.1 is what percent of 185.6

100%/x%=185.6/97.1
(100/x)*x=(185.6/97.1)*x       - we multiply both sides of the equation by x
100=1.9114315139032*x       - we divide both sides of the equation by (1.9114315139032) to get x
100/1.9114315139032=x
52.316810344828=x
x=52.316810344828

now we have:
97.1 is 52.316810344828% of 185.6