862.58 is what percent of 1004 - 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 1004 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 1004, so we can write it down as 100%=1004.
4. We know, that x% equals 862.58 of the output value, so we can write it down as x%=862.58.
5. Now we have two simple equations:
1) 100%=1004
2) x%=862.58
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%=1004/862.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 862.58 is what percent of 1004

100%/x%=1004/862.58
(100/x)*x=(1004/862.58)*x       - we multiply both sides of the equation by x
100=1.1639500104338*x       - we divide both sides of the equation by (1.1639500104338) to get x
100/1.1639500104338=x
85.914342629482=x
x=85.914342629482

now we have:
862.58 is 85.914342629482% of 1004