855.7 is what percent of 1085 - 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 1085 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 1085, so we can write it down as 100%=1085.
4. We know, that x% equals 855.7 of the output value, so we can write it down as x%=855.7.
5. Now we have two simple equations:
1) 100%=1085
2) x%=855.7
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%=1085/855.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 855.7 is what percent of 1085

100%/x%=1085/855.7
(100/x)*x=(1085/855.7)*x       - we multiply both sides of the equation by x
100=1.2679677457053*x       - we divide both sides of the equation by (1.2679677457053) to get x
100/1.2679677457053=x
78.866359447005=x
x=78.866359447005

now we have:
855.7 is 78.866359447005% of 1085