8.01 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 8.01 of the output value, so we can write it down as x%=8.01.
5. Now we have two simple equations:
1) 100%=9
2) x%=8.01
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%=9/8.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.01 is what percent of 9

100%/x%=9/8.01
(100/x)*x=(9/8.01)*x       - we multiply both sides of the equation by x
100=1.123595505618*x       - we divide both sides of the equation by (1.123595505618) to get x
100/1.123595505618=x
89=x
x=89

now we have:
8.01 is 89% of 9