11.45 is what percent of 1181.56 - 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 1181.56 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 1181.56, so we can write it down as 100%=1181.56.
4. We know, that x% equals 11.45 of the output value, so we can write it down as x%=11.45.
5. Now we have two simple equations:
1) 100%=1181.56
2) x%=11.45
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%=1181.56/11.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.45 is what percent of 1181.56

100%/x%=1181.56/11.45
(100/x)*x=(1181.56/11.45)*x       - we multiply both sides of the equation by x
100=103.19301310044*x       - we divide both sides of the equation by (103.19301310044) to get x
100/103.19301310044=x
0.96905785571617=x
x=0.96905785571617

now we have:
11.45 is 0.96905785571617% of 1181.56