862.47 is what percent of 3092.36 - 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 3092.36 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 3092.36, so we can write it down as 100%=3092.36.
4. We know, that x% equals 862.47 of the output value, so we can write it down as x%=862.47.
5. Now we have two simple equations:
1) 100%=3092.36
2) x%=862.47
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%=3092.36/862.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 862.47 is what percent of 3092.36

100%/x%=3092.36/862.47
(100/x)*x=(3092.36/862.47)*x       - we multiply both sides of the equation by x
100=3.5854696395237*x       - we divide both sides of the equation by (3.5854696395237) to get x
100/3.5854696395237=x
27.890349118473=x
x=27.890349118473

now we have:
862.47 is 27.890349118473% of 3092.36