What is 8.11 percent of 37 - 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 37 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 37 is 100%, so we can write it down as 37=100%.
4. We know, that x is 8.11% of the output value, so we can write it down as x=8.11%.
5. Now we have two simple equations:
1) 37=100%
2) x=8.11%
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:
37/x=100%/8.11%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.11% of 37

37/x=100/8.11
(37/x)*x=(100/8.11)*x       - we multiply both sides of the equation by x
37=12.33045622688*x       - we divide both sides of the equation by (12.33045622688) to get x
37/12.33045622688=x
3.0007=x
x=3.0007

now we have:
8.11% of 37=3.0007