3.81 is what percent of 10.88 - 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 10.88 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 10.88, so we can write it down as 100%=10.88.
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%=10.88
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%=10.88/3.81
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 10.88

100%/x%=10.88/3.81
(100/x)*x=(10.88/3.81)*x       - we multiply both sides of the equation by x
100=2.8556430446194*x       - we divide both sides of the equation by (2.8556430446194) to get x
100/2.8556430446194=x
35.018382352941=x
x=35.018382352941

now we have:
3.81 is 35.018382352941% of 10.88