3.24 is what percent of 8.11 - 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 8.11 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 100% equals 8.11, so we can write it down as 100%=8.11.
4. We know, that x% equals 3.24 of the output value, so we can write it down as x%=3.24.
5. Now we have two simple equations:
1) 100%=8.11
2) x%=3.24
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%=8.11/3.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.24 is what percent of 8.11

100%/x%=8.11/3.24
(100/x)*x=(8.11/3.24)*x       - we multiply both sides of the equation by x
100=2.5030864197531*x       - we divide both sides of the equation by (2.5030864197531) to get x
100/2.5030864197531=x
39.950678175092=x
x=39.950678175092

now we have:
3.24 is 39.950678175092% of 8.11