What is 36.84 percent of 0.17385 - 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 0.17385 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 0.17385 is 100%, so we can write it down as 0.17385=100%.
4. We know, that x is 36.84% of the output value, so we can write it down as x=36.84%.
5. Now we have two simple equations:
1) 0.17385=100%
2) x=36.84%
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:
0.17385/x=100%/36.84%
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 36.84% of 0.17385

0.17385/x=100/36.84
(0.17385/x)*x=(100/36.84)*x       - we multiply both sides of the equation by x
0.17385=2.71444082519*x       - we divide both sides of the equation by (2.71444082519) to get x
0.17385/2.71444082519=x
0.06404634=x
x=0.06404634

now we have:
36.84% of 0.17385=0.06404634