110.33 is what percent of 2011.25 - 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 2011.25 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 2011.25, so we can write it down as 100%=2011.25.
4. We know, that x% equals 110.33 of the output value, so we can write it down as x%=110.33.
5. Now we have two simple equations:
1) 100%=2011.25
2) x%=110.33
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%=2011.25/110.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.33 is what percent of 2011.25

100%/x%=2011.25/110.33
(100/x)*x=(2011.25/110.33)*x       - we multiply both sides of the equation by x
100=18.229402700988*x       - we divide both sides of the equation by (18.229402700988) to get x
100/18.229402700988=x
5.4856432566812=x
x=5.4856432566812

now we have:
110.33 is 5.4856432566812% of 2011.25