399.19 is what percent of 508.77 - 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 508.77 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 508.77, so we can write it down as 100%=508.77.
4. We know, that x% equals 399.19 of the output value, so we can write it down as x%=399.19.
5. Now we have two simple equations:
1) 100%=508.77
2) x%=399.19
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%=508.77/399.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.19 is what percent of 508.77

100%/x%=508.77/399.19
(100/x)*x=(508.77/399.19)*x       - we multiply both sides of the equation by x
100=1.2745058743957*x       - we divide both sides of the equation by (1.2745058743957) to get x
100/1.2745058743957=x
78.46178037227=x
x=78.46178037227

now we have:
399.19 is 78.46178037227% of 508.77