855.5 is what percent of 3340 - 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 3340 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 3340, so we can write it down as 100%=3340.
4. We know, that x% equals 855.5 of the output value, so we can write it down as x%=855.5.
5. Now we have two simple equations:
1) 100%=3340
2) x%=855.5
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%=3340/855.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 855.5 is what percent of 3340

100%/x%=3340/855.5
(100/x)*x=(3340/855.5)*x       - we multiply both sides of the equation by x
100=3.9041496201052*x       - we divide both sides of the equation by (3.9041496201052) to get x
100/3.9041496201052=x
25.61377245509=x
x=25.61377245509

now we have:
855.5 is 25.61377245509% of 3340