390.83 is what percent of 1154.5 - 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 1154.5 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 1154.5, so we can write it down as 100%=1154.5.
4. We know, that x% equals 390.83 of the output value, so we can write it down as x%=390.83.
5. Now we have two simple equations:
1) 100%=1154.5
2) x%=390.83
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%=1154.5/390.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 390.83 is what percent of 1154.5

100%/x%=1154.5/390.83
(100/x)*x=(1154.5/390.83)*x       - we multiply both sides of the equation by x
100=2.9539697566717*x       - we divide both sides of the equation by (2.9539697566717) to get x
100/2.9539697566717=x
33.852750108272=x
x=33.852750108272

now we have:
390.83 is 33.852750108272% of 1154.5