88.2 is what percent of 185.9 - 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 185.9 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 185.9, so we can write it down as 100%=185.9.
4. We know, that x% equals 88.2 of the output value, so we can write it down as x%=88.2.
5. Now we have two simple equations:
1) 100%=185.9
2) x%=88.2
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%=185.9/88.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.2 is what percent of 185.9

100%/x%=185.9/88.2
(100/x)*x=(185.9/88.2)*x       - we multiply both sides of the equation by x
100=2.1077097505669*x       - we divide both sides of the equation by (2.1077097505669) to get x
100/2.1077097505669=x
47.444862829478=x
x=47.444862829478

now we have:
88.2 is 47.444862829478% of 185.9