45 is what percent of 11104 - 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 11104 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 11104, so we can write it down as 100%=11104.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=11104
2) x%=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%=11104/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 11104

100%/x%=11104/45
(100/x)*x=(11104/45)*x       - we multiply both sides of the equation by x
100=246.75555555556*x       - we divide both sides of the equation by (246.75555555556) to get x
100/246.75555555556=x
0.40525936599424=x
x=0.40525936599424

now we have:
45 is 0.40525936599424% of 11104