What is 15.4 percent of 0.205 - 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 0.205 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 0.205 is 100%, so we can write it down as 0.205=100%.
4. We know, that x is 15.4% of the output value, so we can write it down as x=15.4%.
5. Now we have two simple equations:
1) 0.205=100%
2) x=15.4%
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:
0.205/x=100%/15.4%
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 15.4% of 0.205

0.205/x=100/15.4
(0.205/x)*x=(100/15.4)*x       - we multiply both sides of the equation by x
0.205=6.4935064935065*x       - we divide both sides of the equation by (6.4935064935065) to get x
0.205/6.4935064935065=x
0.03157=x
x=0.03157

now we have:
15.4% of 0.205=0.03157