8235.82 is what percent of 12185.94 - 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 12185.94 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 12185.94, so we can write it down as 100%=12185.94.
4. We know, that x% equals 8235.82 of the output value, so we can write it down as x%=8235.82.
5. Now we have two simple equations:
1) 100%=12185.94
2) x%=8235.82
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%=12185.94/8235.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8235.82 is what percent of 12185.94

100%/x%=12185.94/8235.82
(100/x)*x=(12185.94/8235.82)*x       - we multiply both sides of the equation by x
100=1.47962680097*x       - we divide both sides of the equation by (1.47962680097) to get x
100/1.47962680097=x
67.5846098044=x
x=67.5846098044

now we have:
8235.82 is 67.5846098044% of 12185.94