813.07 is what percent of 1036.5 - 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 1036.5 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 1036.5, so we can write it down as 100%=1036.5.
4. We know, that x% equals 813.07 of the output value, so we can write it down as x%=813.07.
5. Now we have two simple equations:
1) 100%=1036.5
2) x%=813.07
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%=1036.5/813.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 813.07 is what percent of 1036.5

100%/x%=1036.5/813.07
(100/x)*x=(1036.5/813.07)*x       - we multiply both sides of the equation by x
100=1.2747979878731*x       - we divide both sides of the equation by (1.2747979878731) to get x
100/1.2747979878731=x
78.443801254221=x
x=78.443801254221

now we have:
813.07 is 78.443801254221% of 1036.5