237.19 is what percent of 3872 - 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 3872 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 3872, so we can write it down as 100%=3872.
4. We know, that x% equals 237.19 of the output value, so we can write it down as x%=237.19.
5. Now we have two simple equations:
1) 100%=3872
2) x%=237.19
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%=3872/237.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.19 is what percent of 3872

100%/x%=3872/237.19
(100/x)*x=(3872/237.19)*x       - we multiply both sides of the equation by x
100=16.324465618281*x       - we divide both sides of the equation by (16.324465618281) to get x
100/16.324465618281=x
6.1257747933884=x
x=6.1257747933884

now we have:
237.19 is 6.1257747933884% of 3872