800.67 is what percent of 2309.36 - 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 2309.36 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 2309.36, so we can write it down as 100%=2309.36.
4. We know, that x% equals 800.67 of the output value, so we can write it down as x%=800.67.
5. Now we have two simple equations:
1) 100%=2309.36
2) x%=800.67
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%=2309.36/800.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 800.67 is what percent of 2309.36

100%/x%=2309.36/800.67
(100/x)*x=(2309.36/800.67)*x       - we multiply both sides of the equation by x
100=2.8842844118051*x       - we divide both sides of the equation by (2.8842844118051) to get x
100/2.8842844118051=x
34.670644680777=x
x=34.670644680777

now we have:
800.67 is 34.670644680777% of 2309.36