180.16 is what percent of 286.15 - 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 286.15 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 286.15, so we can write it down as 100%=286.15.
4. We know, that x% equals 180.16 of the output value, so we can write it down as x%=180.16.
5. Now we have two simple equations:
1) 100%=286.15
2) x%=180.16
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%=286.15/180.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.16 is what percent of 286.15

100%/x%=286.15/180.16
(100/x)*x=(286.15/180.16)*x       - we multiply both sides of the equation by x
100=1.5883103907638*x       - we divide both sides of the equation by (1.5883103907638) to get x
100/1.5883103907638=x
62.959986021317=x
x=62.959986021317

now we have:
180.16 is 62.959986021317% of 286.15