846.15 is what percent of 2398 - 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 2398 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 2398, so we can write it down as 100%=2398.
4. We know, that x% equals 846.15 of the output value, so we can write it down as x%=846.15.
5. Now we have two simple equations:
1) 100%=2398
2) x%=846.15
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%=2398/846.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 846.15 is what percent of 2398

100%/x%=2398/846.15
(100/x)*x=(2398/846.15)*x       - we multiply both sides of the equation by x
100=2.8340128818767*x       - we divide both sides of the equation by (2.8340128818767) to get x
100/2.8340128818767=x
35.28565471226=x
x=35.28565471226

now we have:
846.15 is 35.28565471226% of 2398