168.63 is what percent of 4039.78 - 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 4039.78 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 4039.78, so we can write it down as 100%=4039.78.
4. We know, that x% equals 168.63 of the output value, so we can write it down as x%=168.63.
5. Now we have two simple equations:
1) 100%=4039.78
2) x%=168.63
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%=4039.78/168.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.63 is what percent of 4039.78

100%/x%=4039.78/168.63
(100/x)*x=(4039.78/168.63)*x       - we multiply both sides of the equation by x
100=23.956472750993*x       - we divide both sides of the equation by (23.956472750993) to get x
100/23.956472750993=x
4.1742372109372=x
x=4.1742372109372

now we have:
168.63 is 4.1742372109372% of 4039.78