3.81 is what percent of 36400 - 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 36400 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 36400, so we can write it down as 100%=36400.
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%=36400
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%=36400/3.81
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 36400

100%/x%=36400/3.81
(100/x)*x=(36400/3.81)*x       - we multiply both sides of the equation by x
100=9553.8057742782*x       - we divide both sides of the equation by (9553.8057742782) to get x
100/9553.8057742782=x
0.010467032967033=x
x=0.010467032967033

now we have:
3.81 is 0.010467032967033% of 36400