3.86 is what percent of 52.2 - 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 52.2 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 52.2, so we can write it down as 100%=52.2.
4. We know, that x% equals 3.86 of the output value, so we can write it down as x%=3.86.
5. Now we have two simple equations:
1) 100%=52.2
2) x%=3.86
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%=52.2/3.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.86 is what percent of 52.2

100%/x%=52.2/3.86
(100/x)*x=(52.2/3.86)*x       - we multiply both sides of the equation by x
100=13.523316062176*x       - we divide both sides of the equation by (13.523316062176) to get x
100/13.523316062176=x
7.3946360153257=x
x=7.3946360153257

now we have:
3.86 is 7.3946360153257% of 52.2