806.75 is what percent of 5840 - 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 5840 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 5840, so we can write it down as 100%=5840.
4. We know, that x% equals 806.75 of the output value, so we can write it down as x%=806.75.
5. Now we have two simple equations:
1) 100%=5840
2) x%=806.75
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%=5840/806.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 806.75 is what percent of 5840

100%/x%=5840/806.75
(100/x)*x=(5840/806.75)*x       - we multiply both sides of the equation by x
100=7.2389215990084*x       - we divide both sides of the equation by (7.2389215990084) to get x
100/7.2389215990084=x
13.814212328767=x
x=13.814212328767

now we have:
806.75 is 13.814212328767% of 5840