406.37 is what percent of 510 - 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 510 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 510, so we can write it down as 100%=510.
4. We know, that x% equals 406.37 of the output value, so we can write it down as x%=406.37.
5. Now we have two simple equations:
1) 100%=510
2) x%=406.37
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%=510/406.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 406.37 is what percent of 510

100%/x%=510/406.37
(100/x)*x=(510/406.37)*x       - we multiply both sides of the equation by x
100=1.2550139035854*x       - we divide both sides of the equation by (1.2550139035854) to get x
100/1.2550139035854=x
79.680392156863=x
x=79.680392156863

now we have:
406.37 is 79.680392156863% of 510