2845.16 is what percent of 25710 - 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 25710 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 25710, so we can write it down as 100%=25710.
4. We know, that x% equals 2845.16 of the output value, so we can write it down as x%=2845.16.
5. Now we have two simple equations:
1) 100%=25710
2) x%=2845.16
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%=25710/2845.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2845.16 is what percent of 25710

100%/x%=25710/2845.16
(100/x)*x=(25710/2845.16)*x       - we multiply both sides of the equation by x
100=9.0363986559631*x       - we divide both sides of the equation by (9.0363986559631) to get x
100/9.0363986559631=x
11.066355503695=x
x=11.066355503695

now we have:
2845.16 is 11.066355503695% of 25710