10320.49 is what percent of 40960 - 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 40960 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 40960, so we can write it down as 100%=40960.
4. We know, that x% equals 10320.49 of the output value, so we can write it down as x%=10320.49.
5. Now we have two simple equations:
1) 100%=40960
2) x%=10320.49
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%=40960/10320.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10320.49 is what percent of 40960

100%/x%=40960/10320.49
(100/x)*x=(40960/10320.49)*x       - we multiply both sides of the equation by x
100=3.968803806796*x       - we divide both sides of the equation by (3.968803806796) to get x
100/3.968803806796=x
25.196508789062=x
x=25.196508789062

now we have:
10320.49 is 25.196508789062% of 40960