3.86 is what percent of 49.46 - 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 49.46 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 49.46, so we can write it down as 100%=49.46.
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%=49.46
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%=49.46/3.86
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 49.46

100%/x%=49.46/3.86
(100/x)*x=(49.46/3.86)*x       - we multiply both sides of the equation by x
100=12.813471502591*x       - we divide both sides of the equation by (12.813471502591) to get x
100/12.813471502591=x
7.8042862919531=x
x=7.8042862919531

now we have:
3.86 is 7.8042862919531% of 49.46