45052.8 is what percent of 100380.8 - 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 100380.8 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 100380.8, so we can write it down as 100%=100380.8.
4. We know, that x% equals 45052.8 of the output value, so we can write it down as x%=45052.8.
5. Now we have two simple equations:
1) 100%=100380.8
2) x%=45052.8
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%=100380.8/45052.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45052.8 is what percent of 100380.8

100%/x%=100380.8/45052.8
(100/x)*x=(100380.8/45052.8)*x       - we multiply both sides of the equation by x
100=2.2280701754386*x       - we divide both sides of the equation by (2.2280701754386) to get x
100/2.2280701754386=x
44.88188976378=x
x=44.88188976378

now we have:
45052.8 is 44.88188976378% of 100380.8