180.6 is what percent of 212.5 - 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 212.5 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 212.5, so we can write it down as 100%=212.5.
4. We know, that x% equals 180.6 of the output value, so we can write it down as x%=180.6.
5. Now we have two simple equations:
1) 100%=212.5
2) x%=180.6
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%=212.5/180.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.6 is what percent of 212.5

100%/x%=212.5/180.6
(100/x)*x=(212.5/180.6)*x       - we multiply both sides of the equation by x
100=1.1766334440753*x       - we divide both sides of the equation by (1.1766334440753) to get x
100/1.1766334440753=x
84.988235294118=x
x=84.988235294118

now we have:
180.6 is 84.988235294118% of 212.5