What is 2.9 percent of 0.165 - 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 0.165 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 0.165 is 100%, so we can write it down as 0.165=100%.
4. We know, that x is 2.9% of the output value, so we can write it down as x=2.9%.
5. Now we have two simple equations:
1) 0.165=100%
2) x=2.9%
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:
0.165/x=100%/2.9%
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 2.9% of 0.165

0.165/x=100/2.9
(0.165/x)*x=(100/2.9)*x       - we multiply both sides of the equation by x
0.165=34.48275862069*x       - we divide both sides of the equation by (34.48275862069) to get x
0.165/34.48275862069=x
0.004785=x
x=0.004785

now we have:
2.9% of 0.165=0.004785