45.51 is what percent of 100094.97 - 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 100094.97 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 100094.97, so we can write it down as 100%=100094.97.
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%=100094.97
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%=100094.97/45.51
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 100094.97

100%/x%=100094.97/45.51
(100/x)*x=(100094.97/45.51)*x       - we multiply both sides of the equation by x
100=2199.4060646012*x       - we divide both sides of the equation by (2199.4060646012) to get x
100/2199.4060646012=x
0.045466820160893=x
x=0.045466820160893

now we have:
45.51 is 0.045466820160893% of 100094.97