What is 64.125 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 64.125% of the output value, so we can write it down as x=64.125%.
5. Now we have two simple equations:
1) 0.03=100%
2) x=64.125%
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%/64.125%
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 64.125% of 0.03

0.03/x=100/64.125
(0.03/x)*x=(100/64.125)*x       - we multiply both sides of the equation by x
0.03=1.5594541910331*x       - we divide both sides of the equation by (1.5594541910331) to get x
0.03/1.5594541910331=x
0.0192375=x
x=0.0192375

now we have:
64.125% of 0.03=0.0192375