45.9 is what percent of 36.5 - 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 36.5 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 36.5, so we can write it down as 100%=36.5.
4. We know, that x% equals 45.9 of the output value, so we can write it down as x%=45.9.
5. Now we have two simple equations:
1) 100%=36.5
2) x%=45.9
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%=36.5/45.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.9 is what percent of 36.5

100%/x%=36.5/45.9
(100/x)*x=(36.5/45.9)*x       - we multiply both sides of the equation by x
100=0.79520697167756*x       - we divide both sides of the equation by (0.79520697167756) to get x
100/0.79520697167756=x
125.75342465753=x
x=125.75342465753

now we have:
45.9 is 125.75342465753% of 36.5