What is 8.16 percent of 42.11 - 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 42.11 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 42.11 is 100%, so we can write it down as 42.11=100%.
4. We know, that x is 8.16% of the output value, so we can write it down as x=8.16%.
5. Now we have two simple equations:
1) 42.11=100%
2) x=8.16%
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:
42.11/x=100%/8.16%
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 8.16% of 42.11

42.11/x=100/8.16
(42.11/x)*x=(100/8.16)*x       - we multiply both sides of the equation by x
42.11=12.254901960784*x       - we divide both sides of the equation by (12.254901960784) to get x
42.11/12.254901960784=x
3.436176=x
x=3.436176

now we have:
8.16% of 42.11=3.436176