3.81 is what percent of 29.77 - 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 29.77 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 29.77, so we can write it down as 100%=29.77.
4. We know, that x% equals 3.81 of the output value, so we can write it down as x%=3.81.
5. Now we have two simple equations:
1) 100%=29.77
2) x%=3.81
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%=29.77/3.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.81 is what percent of 29.77

100%/x%=29.77/3.81
(100/x)*x=(29.77/3.81)*x       - we multiply both sides of the equation by x
100=7.8136482939633*x       - we divide both sides of the equation by (7.8136482939633) to get x
100/7.8136482939633=x
12.798118911656=x
x=12.798118911656

now we have:
3.81 is 12.798118911656% of 29.77