897.25 is what percent of 1008.5 - 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 1008.5 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 1008.5, so we can write it down as 100%=1008.5.
4. We know, that x% equals 897.25 of the output value, so we can write it down as x%=897.25.
5. Now we have two simple equations:
1) 100%=1008.5
2) x%=897.25
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%=1008.5/897.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 897.25 is what percent of 1008.5

100%/x%=1008.5/897.25
(100/x)*x=(1008.5/897.25)*x       - we multiply both sides of the equation by x
100=1.1239899693508*x       - we divide both sides of the equation by (1.1239899693508) to get x
100/1.1239899693508=x
88.968765493307=x
x=88.968765493307

now we have:
897.25 is 88.968765493307% of 1008.5