810.25 is what percent of 1034 - 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 1034 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 1034, so we can write it down as 100%=1034.
4. We know, that x% equals 810.25 of the output value, so we can write it down as x%=810.25.
5. Now we have two simple equations:
1) 100%=1034
2) x%=810.25
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%=1034/810.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 810.25 is what percent of 1034

100%/x%=1034/810.25
(100/x)*x=(1034/810.25)*x       - we multiply both sides of the equation by x
100=1.2761493366245*x       - we divide both sides of the equation by (1.2761493366245) to get x
100/1.2761493366245=x
78.360735009671=x
x=78.360735009671

now we have:
810.25 is 78.360735009671% of 1034