162.49 is what percent of 287.49 - 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 287.49 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 287.49, so we can write it down as 100%=287.49.
4. We know, that x% equals 162.49 of the output value, so we can write it down as x%=162.49.
5. Now we have two simple equations:
1) 100%=287.49
2) x%=162.49
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%=287.49/162.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.49 is what percent of 287.49

100%/x%=287.49/162.49
(100/x)*x=(287.49/162.49)*x       - we multiply both sides of the equation by x
100=1.7692781094221*x       - we divide both sides of the equation by (1.7692781094221) to get x
100/1.7692781094221=x
56.520226790497=x
x=56.520226790497

now we have:
162.49 is 56.520226790497% of 287.49