855.94 is what percent of 2203.34 - 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 2203.34 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 2203.34, so we can write it down as 100%=2203.34.
4. We know, that x% equals 855.94 of the output value, so we can write it down as x%=855.94.
5. Now we have two simple equations:
1) 100%=2203.34
2) x%=855.94
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%=2203.34/855.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 855.94 is what percent of 2203.34

100%/x%=2203.34/855.94
(100/x)*x=(2203.34/855.94)*x       - we multiply both sides of the equation by x
100=2.5741757599832*x       - we divide both sides of the equation by (2.5741757599832) to get x
100/2.5741757599832=x
38.847386240889=x
x=38.847386240889

now we have:
855.94 is 38.847386240889% of 2203.34