398.75 is what percent of 3930 - 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 3930 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 3930, so we can write it down as 100%=3930.
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%=3930
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%=3930/398.75
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 3930

100%/x%=3930/398.75
(100/x)*x=(3930/398.75)*x       - we multiply both sides of the equation by x
100=9.8557993730408*x       - we divide both sides of the equation by (9.8557993730408) to get x
100/9.8557993730408=x
10.14631043257=x
x=10.14631043257

now we have:
398.75 is 10.14631043257% of 3930