89.58 is what percent of 260.4 - 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 260.4 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 260.4, so we can write it down as 100%=260.4.
4. We know, that x% equals 89.58 of the output value, so we can write it down as x%=89.58.
5. Now we have two simple equations:
1) 100%=260.4
2) x%=89.58
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%=260.4/89.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.58 is what percent of 260.4

100%/x%=260.4/89.58
(100/x)*x=(260.4/89.58)*x       - we multiply both sides of the equation by x
100=2.906898861353*x       - we divide both sides of the equation by (2.906898861353) to get x
100/2.906898861353=x
34.400921658986=x
x=34.400921658986

now we have:
89.58 is 34.400921658986% of 260.4