11.33 is what percent of 2144.5 - 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 2144.5 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 2144.5, so we can write it down as 100%=2144.5.
4. We know, that x% equals 11.33 of the output value, so we can write it down as x%=11.33.
5. Now we have two simple equations:
1) 100%=2144.5
2) x%=11.33
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%=2144.5/11.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.33 is what percent of 2144.5

100%/x%=2144.5/11.33
(100/x)*x=(2144.5/11.33)*x       - we multiply both sides of the equation by x
100=189.27625772286*x       - we divide both sides of the equation by (189.27625772286) to get x
100/189.27625772286=x
0.52832828165073=x
x=0.52832828165073

now we have:
11.33 is 0.52832828165073% of 2144.5