687.5 is what percent of 853.1 - 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 853.1 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 853.1, so we can write it down as 100%=853.1.
4. We know, that x% equals 687.5 of the output value, so we can write it down as x%=687.5.
5. Now we have two simple equations:
1) 100%=853.1
2) x%=687.5
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%=853.1/687.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 687.5 is what percent of 853.1

100%/x%=853.1/687.5
(100/x)*x=(853.1/687.5)*x       - we multiply both sides of the equation by x
100=1.2408727272727*x       - we divide both sides of the equation by (1.2408727272727) to get x
100/1.2408727272727=x
80.588442152151=x
x=80.588442152151

now we have:
687.5 is 80.588442152151% of 853.1