3.72 is what percent of 186.13 - 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 186.13 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 186.13, so we can write it down as 100%=186.13.
4. We know, that x% equals 3.72 of the output value, so we can write it down as x%=3.72.
5. Now we have two simple equations:
1) 100%=186.13
2) x%=3.72
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%=186.13/3.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.72 is what percent of 186.13

100%/x%=186.13/3.72
(100/x)*x=(186.13/3.72)*x       - we multiply both sides of the equation by x
100=50.034946236559*x       - we divide both sides of the equation by (50.034946236559) to get x
100/50.034946236559=x
1.9986031268468=x
x=1.9986031268468

now we have:
3.72 is 1.9986031268468% of 186.13