45.51 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 45.51 of the output value, so we can write it down as x%=45.51.
5. Now we have two simple equations:
1) 100%=100
2) x%=45.51
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%=100/45.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.51 is what percent of 100

100%/x%=100/45.51
(100/x)*x=(100/45.51)*x       - we multiply both sides of the equation by x
100=2.19731927049*x       - we divide both sides of the equation by (2.19731927049) to get x
100/2.19731927049=x
45.51=x
x=45.51

now we have:
45.51 is 45.51% of 100