9.01 is what percent of 1012.5 - 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 1012.5 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 1012.5, so we can write it down as 100%=1012.5.
4. We know, that x% equals 9.01 of the output value, so we can write it down as x%=9.01.
5. Now we have two simple equations:
1) 100%=1012.5
2) x%=9.01
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%=1012.5/9.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.01 is what percent of 1012.5

100%/x%=1012.5/9.01
(100/x)*x=(1012.5/9.01)*x       - we multiply both sides of the equation by x
100=112.37513873474*x       - we divide both sides of the equation by (112.37513873474) to get x
100/112.37513873474=x
0.88987654320988=x
x=0.88987654320988

now we have:
9.01 is 0.88987654320988% of 1012.5