790.99 is what percent of 24585.64 - 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 24585.64 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 24585.64, so we can write it down as 100%=24585.64.
4. We know, that x% equals 790.99 of the output value, so we can write it down as x%=790.99.
5. Now we have two simple equations:
1) 100%=24585.64
2) x%=790.99
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%=24585.64/790.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 790.99 is what percent of 24585.64

100%/x%=24585.64/790.99
(100/x)*x=(24585.64/790.99)*x       - we multiply both sides of the equation by x
100=31.082112289662*x       - we divide both sides of the equation by (31.082112289662) to get x
100/31.082112289662=x
3.2172845612317=x
x=3.2172845612317

now we have:
790.99 is 3.2172845612317% of 24585.64