162.78 is what percent of 252.863 - 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 252.863 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 252.863, so we can write it down as 100%=252.863.
4. We know, that x% equals 162.78 of the output value, so we can write it down as x%=162.78.
5. Now we have two simple equations:
1) 100%=252.863
2) x%=162.78
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%=252.863/162.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.78 is what percent of 252.863

100%/x%=252.863/162.78
(100/x)*x=(252.863/162.78)*x       - we multiply both sides of the equation by x
100=1.5534033665069*x       - we divide both sides of the equation by (1.5534033665069) to get x
100/1.5534033665069=x
64.37478001922=x
x=64.37478001922

now we have:
162.78 is 64.37478001922% of 252.863