857.28 is what percent of 1006.5 - 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 1006.5 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 1006.5, so we can write it down as 100%=1006.5.
4. We know, that x% equals 857.28 of the output value, so we can write it down as x%=857.28.
5. Now we have two simple equations:
1) 100%=1006.5
2) x%=857.28
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%=1006.5/857.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 857.28 is what percent of 1006.5

100%/x%=1006.5/857.28
(100/x)*x=(1006.5/857.28)*x       - we multiply both sides of the equation by x
100=1.174062150056*x       - we divide both sides of the equation by (1.174062150056) to get x
100/1.174062150056=x
85.17436661699=x
x=85.17436661699

now we have:
857.28 is 85.17436661699% of 1006.5