398.73 is what percent of 2913.75 - 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 2913.75 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 2913.75, so we can write it down as 100%=2913.75.
4. We know, that x% equals 398.73 of the output value, so we can write it down as x%=398.73.
5. Now we have two simple equations:
1) 100%=2913.75
2) x%=398.73
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%=2913.75/398.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.73 is what percent of 2913.75

100%/x%=2913.75/398.73
(100/x)*x=(2913.75/398.73)*x       - we multiply both sides of the equation by x
100=7.3075765555639*x       - we divide both sides of the equation by (7.3075765555639) to get x
100/7.3075765555639=x
13.684427284427=x
x=13.684427284427

now we have:
398.73 is 13.684427284427% of 2913.75