398.46 is what percent of 983.03 - 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 983.03 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 983.03, so we can write it down as 100%=983.03.
4. We know, that x% equals 398.46 of the output value, so we can write it down as x%=398.46.
5. Now we have two simple equations:
1) 100%=983.03
2) x%=398.46
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%=983.03/398.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.46 is what percent of 983.03

100%/x%=983.03/398.46
(100/x)*x=(983.03/398.46)*x       - we multiply both sides of the equation by x
100=2.467073231943*x       - we divide both sides of the equation by (2.467073231943) to get x
100/2.467073231943=x
40.533859597367=x
x=40.533859597367

now we have:
398.46 is 40.533859597367% of 983.03