363.49 is what percent of 85259.8 - 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 85259.8 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 85259.8, so we can write it down as 100%=85259.8.
4. We know, that x% equals 363.49 of the output value, so we can write it down as x%=363.49.
5. Now we have two simple equations:
1) 100%=85259.8
2) x%=363.49
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%=85259.8/363.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.49 is what percent of 85259.8

100%/x%=85259.8/363.49
(100/x)*x=(85259.8/363.49)*x       - we multiply both sides of the equation by x
100=234.55885994113*x       - we divide both sides of the equation by (234.55885994113) to get x
100/234.55885994113=x
0.42633222221962=x
x=0.42633222221962

now we have:
363.49 is 0.42633222221962% of 85259.8