40.03 is what percent of 508.51 - 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 508.51 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 508.51, so we can write it down as 100%=508.51.
4. We know, that x% equals 40.03 of the output value, so we can write it down as x%=40.03.
5. Now we have two simple equations:
1) 100%=508.51
2) x%=40.03
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%=508.51/40.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.03 is what percent of 508.51

100%/x%=508.51/40.03
(100/x)*x=(508.51/40.03)*x       - we multiply both sides of the equation by x
100=12.703222583063*x       - we divide both sides of the equation by (12.703222583063) to get x
100/12.703222583063=x
7.8720182493953=x
x=7.8720182493953

now we have:
40.03 is 7.8720182493953% of 508.51