25.41 is what percent of 282.32 - 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 282.32 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 282.32, so we can write it down as 100%=282.32.
4. We know, that x% equals 25.41 of the output value, so we can write it down as x%=25.41.
5. Now we have two simple equations:
1) 100%=282.32
2) x%=25.41
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%=282.32/25.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.41 is what percent of 282.32

100%/x%=282.32/25.41
(100/x)*x=(282.32/25.41)*x       - we multiply both sides of the equation by x
100=11.110586383314*x       - we divide both sides of the equation by (11.110586383314) to get x
100/11.110586383314=x
9.0004250495891=x
x=9.0004250495891

now we have:
25.41 is 9.0004250495891% of 282.32