790.09 is what percent of 40294.69 - 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 40294.69 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 40294.69, so we can write it down as 100%=40294.69.
4. We know, that x% equals 790.09 of the output value, so we can write it down as x%=790.09.
5. Now we have two simple equations:
1) 100%=40294.69
2) x%=790.09
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%=40294.69/790.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 790.09 is what percent of 40294.69

100%/x%=40294.69/790.09
(100/x)*x=(40294.69/790.09)*x       - we multiply both sides of the equation by x
100=51.000126567859*x       - we divide both sides of the equation by (51.000126567859) to get x
100/51.000126567859=x
1.9607794476146=x
x=1.9607794476146

now we have:
790.09 is 1.9607794476146% of 40294.69