What is 0.165 percent of 2.412 - 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 2.412 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 2.412 is 100%, so we can write it down as 2.412=100%.
4. We know, that x is 0.165% of the output value, so we can write it down as x=0.165%.
5. Now we have two simple equations:
1) 2.412=100%
2) x=0.165%
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:
2.412/x=100%/0.165%
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 0.165% of 2.412

2.412/x=100/0.165
(2.412/x)*x=(100/0.165)*x       - we multiply both sides of the equation by x
2.412=606.06060606061*x       - we divide both sides of the equation by (606.06060606061) to get x
2.412/606.06060606061=x
0.0039798=x
x=0.0039798

now we have:
0.165% of 2.412=0.0039798