11.81 is what percent of 112.53 - 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 112.53 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 112.53, so we can write it down as 100%=112.53.
4. We know, that x% equals 11.81 of the output value, so we can write it down as x%=11.81.
5. Now we have two simple equations:
1) 100%=112.53
2) x%=11.81
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%=112.53/11.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.81 is what percent of 112.53

100%/x%=112.53/11.81
(100/x)*x=(112.53/11.81)*x       - we multiply both sides of the equation by x
100=9.5283657917019*x       - we divide both sides of the equation by (9.5283657917019) to get x
100/9.5283657917019=x
10.49497911668=x
x=10.49497911668

now we have:
11.81 is 10.49497911668% of 112.53