What is 68.42 percent of 0.03 - 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 0.03 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 0.03 is 100%, so we can write it down as 0.03=100%.
4. We know, that x is 68.42% of the output value, so we can write it down as x=68.42%.
5. Now we have two simple equations:
1) 0.03=100%
2) x=68.42%
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:
0.03/x=100%/68.42%
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 68.42% of 0.03

0.03/x=100/68.42
(0.03/x)*x=(100/68.42)*x       - we multiply both sides of the equation by x
0.03=1.4615609470915*x       - we divide both sides of the equation by (1.4615609470915) to get x
0.03/1.4615609470915=x
0.020526=x
x=0.020526

now we have:
68.42% of 0.03=0.020526