9.81 is what percent of 10.09 - 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 10.09 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 10.09, so we can write it down as 100%=10.09.
4. We know, that x% equals 9.81 of the output value, so we can write it down as x%=9.81.
5. Now we have two simple equations:
1) 100%=10.09
2) x%=9.81
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%=10.09/9.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.81 is what percent of 10.09

100%/x%=10.09/9.81
(100/x)*x=(10.09/9.81)*x       - we multiply both sides of the equation by x
100=1.0285423037717*x       - we divide both sides of the equation by (1.0285423037717) to get x
100/1.0285423037717=x
97.224975222993=x
x=97.224975222993

now we have:
9.81 is 97.224975222993% of 10.09