813.5 is what percent of 1014 - 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 1014 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 1014, so we can write it down as 100%=1014.
4. We know, that x% equals 813.5 of the output value, so we can write it down as x%=813.5.
5. Now we have two simple equations:
1) 100%=1014
2) x%=813.5
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%=1014/813.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 813.5 is what percent of 1014

100%/x%=1014/813.5
(100/x)*x=(1014/813.5)*x       - we multiply both sides of the equation by x
100=1.2464658881377*x       - we divide both sides of the equation by (1.2464658881377) to get x
100/1.2464658881377=x
80.226824457594=x
x=80.226824457594

now we have:
813.5 is 80.226824457594% of 1014