186.75 is what percent of 448.5 - 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 448.5 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 448.5, so we can write it down as 100%=448.5.
4. We know, that x% equals 186.75 of the output value, so we can write it down as x%=186.75.
5. Now we have two simple equations:
1) 100%=448.5
2) x%=186.75
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%=448.5/186.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 186.75 is what percent of 448.5

100%/x%=448.5/186.75
(100/x)*x=(448.5/186.75)*x       - we multiply both sides of the equation by x
100=2.4016064257028*x       - we divide both sides of the equation by (2.4016064257028) to get x
100/2.4016064257028=x
41.638795986622=x
x=41.638795986622

now we have:
186.75 is 41.638795986622% of 448.5