9.08 is what percent of 89.02 - 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 89.02 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 89.02, so we can write it down as 100%=89.02.
4. We know, that x% equals 9.08 of the output value, so we can write it down as x%=9.08.
5. Now we have two simple equations:
1) 100%=89.02
2) x%=9.08
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%=89.02/9.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.08 is what percent of 89.02

100%/x%=89.02/9.08
(100/x)*x=(89.02/9.08)*x       - we multiply both sides of the equation by x
100=9.8039647577093*x       - we divide both sides of the equation by (9.8039647577093) to get x
100/9.8039647577093=x
10.199955066277=x
x=10.199955066277

now we have:
9.08 is 10.199955066277% of 89.02