163.14 is what percent of 185.2 - 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 185.2 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 185.2, so we can write it down as 100%=185.2.
4. We know, that x% equals 163.14 of the output value, so we can write it down as x%=163.14.
5. Now we have two simple equations:
1) 100%=185.2
2) x%=163.14
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%=185.2/163.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.14 is what percent of 185.2

100%/x%=185.2/163.14
(100/x)*x=(185.2/163.14)*x       - we multiply both sides of the equation by x
100=1.1352212823342*x       - we divide both sides of the equation by (1.1352212823342) to get x
100/1.1352212823342=x
88.088552915767=x
x=88.088552915767

now we have:
163.14 is 88.088552915767% of 185.2