113.94 is what percent of 1011.66 - 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 1011.66 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 1011.66, so we can write it down as 100%=1011.66.
4. We know, that x% equals 113.94 of the output value, so we can write it down as x%=113.94.
5. Now we have two simple equations:
1) 100%=1011.66
2) x%=113.94
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%=1011.66/113.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.94 is what percent of 1011.66

100%/x%=1011.66/113.94
(100/x)*x=(1011.66/113.94)*x       - we multiply both sides of the equation by x
100=8.8788836229595*x       - we divide both sides of the equation by (8.8788836229595) to get x
100/8.8788836229595=x
11.262677184034=x
x=11.262677184034

now we have:
113.94 is 11.262677184034% of 1011.66