398.75 is what percent of 508 - 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 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, so we can write it down as 100%=508.
4. We know, that x% equals 398.75 of the output value, so we can write it down as x%=398.75.
5. Now we have two simple equations:
1) 100%=508
2) x%=398.75
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%=508/398.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.75 is what percent of 508

100%/x%=508/398.75
(100/x)*x=(508/398.75)*x       - we multiply both sides of the equation by x
100=1.2739811912226*x       - we divide both sides of the equation by (1.2739811912226) to get x
100/1.2739811912226=x
78.494094488189=x
x=78.494094488189

now we have:
398.75 is 78.494094488189% of 508